diff --git a/algorithms/qaoa/knapsack/qaoa_knapsack.ipynb b/algorithms/qaoa/knapsack/qaoa_knapsack.ipynb
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+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "ce6c42a8-f6da-4a61-9484-e27ac056d999",
+   "metadata": {},
+   "source": [
+    "# QAOA Algorithm for Constrained Optimization: Knapsack Problem"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "c8374048-2ead-45c4-ada1-724c73532cf7",
+   "metadata": {},
+   "source": [
+    "The following demonstration will show how to use Classiq for optimizing combinatorial optimization problems with constraints, using the QAOA algotrithm [[1](#QAOA)]. The main point is how to combine digital and analog quantum operations for such problems. The specific problem to optimize will be the knapsack problem [[2](#knapsack)]\n",
+    "If you are not familiar with the QAOA algorithm, take a look at the [maxCut demo TODO]."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "dbc23626-e131-42d0-87cf-e88282999609",
+   "metadata": {},
+   "source": [
+    "## Introduction\n",
+    "\n",
+    "### The Knapsack Problem\n",
+    "Given a set of items, determine how many items to put in the knapsack to maximize their summed value.\n",
+    "\n",
+    "* **Input:**\n",
+    "  - Items: A set of item types counts $x_i$, where each $x_i \\in [0, d_i]$ .\n",
+    "  - Weights: A set of item weights, denoted as $w_i$.\n",
+    "  - Values: A set of item values, denoted as $v_i$.\n",
+    "  - Weight constraint $C$.\n",
+    " \n",
+    "\n",
+    "* **Output:** Item assignment $\\overline{x}$ that maximizes the value: $$\\max_{x_i \\in D} \\Sigma_i v_i x_i$$\n",
+    "  subject to a weight constraint: $$\\Sigma_i w_i x_i\\leq C$$\n",
+    "\n",
+    "The knapsack is known to be an NP-complete problem."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "72cd4088-3ebb-4952-a9d4-ea00ca43cc1f",
+   "metadata": {
+    "jp-MarkdownHeadingCollapsed": true
+   },
+   "source": [
+    "### Set a specific problem instance to optimize:\n",
+    "\n",
+    "Here we choose a small toy instance:\n",
+    "* 2 item types:\n",
+    "  * $a \\in [0, 7]$ with $w_a=2$, $v_a=3$\n",
+    "  * $b \\in [0, 3]$ with $w_b=3$, $v_b=5$\n",
+    "* $C=12$\n",
+    "* The optimal solution is $a=3, b=2$"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "d1744ab9-4a21-4377-8dc5-de2d475a3f87",
+   "metadata": {},
+   "source": [
+    "## Algorithm description"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "fd97859c-643a-4c76-a614-0358a340ce67",
+   "metadata": {},
+   "source": [
+    "In this problem, there are additional constraints on the search space. One way to address it is to add a penalty term for the constraints. Here we take a different approach, and take advantage of the quantum nature of the algorithm. \n",
+    "\n",
+    "A quantum state $|x\\rangle$ will hold the optimziation variables. We will use two different transformations on this variable:\n",
+    "1. Objective Phase (analog): a phase rotation in the Z direction according to the objective value, as done in the vanilla QAOA $$|x\\rangle \\xrightarrow{U_{\\text{o}}(\\theta)} e^{i\\theta f_{\\text{obj}}(x)}|x\\rangle$$\n",
+    "   The transformation is done easily with the `phase` statement.\n",
+    "   \n",
+    "3. Constraints Predicate (digital): the constraints are verified digitally, with quantum arithmetics $$|x\\rangle|0\\rangle \\xrightarrow{U_{\\text{c}}(\\theta)} |x\\rangle|c(x)\\rangle$$\n",
+    "   The transformation is done with the numeric assignment transformation, such as `assign` (`|=`).\n",
+    "\n",
+    "The transformations are combined in the following manner; For each QAOA cost layer, the objective phase transformation is applied conditioned on the constraints predicate value, such that effectively each infeasible solution will be given a 0 phase.\n",
+    "\n",
+    "This way we can bypass the need to choose a penalty constant, on the expense of additional arithmetic gates for each layer. Notice that the method as we presented here is relevant for positive maximization problems."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "fa4b3f95-b7e8-4c60-bd93-08940f494d52",
+   "metadata": {},
+   "source": [
+    "## Algorithm Implementation using Classiq"
+   ]
+  },
+  {
+   "attachments": {
+    "221924cc-5658-485a-a9dd-423a0a79e26a.png": {
+     "image/png": 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"
+    }
+   },
+   "cell_type": "markdown",
+   "id": "76ebeade-0b96-4f34-8abd-299d76abd19c",
+   "metadata": {},
+   "source": [
+    "![image.png](attachment:221924cc-5658-485a-a9dd-423a0a79e26a.png)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "460cb69a-9b84-4755-b8de-b6a27cdf8fd7",
+   "metadata": {},
+   "source": [
+    "### Define the knapsack problem\n",
+    "\n",
+    "A `QStruct` is used to represent the state of optimization variables. The `objective` and `constraint` functions will be used both quantumly, and classicaly in the post-processing.\n",
+    "\n",
+    "Notice that the optimization variable are defined as unsigned integers, with the `QNum` type."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "95dbcd81-aea4-4cdb-8f22-96915415196f",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from classiq import *\n",
+    "\n",
+    "\n",
+    "class KnapsackVars(QStruct):\n",
+    "    a: QNum[3]\n",
+    "    b: QNum[2]\n",
+    "\n",
+    "\n",
+    "def objective(v: KnapsackVars):\n",
+    "    return v.a * 3 + v.b * 5\n",
+    "\n",
+    "\n",
+    "def constraint(v: KnapsackVars):\n",
+    "    return v.a * 2 + v.b * 3 <= 12\n",
+    "\n",
+    "\n",
+    "# assign a negative value to the objective to get maximization\n",
+    "def cost(v: KnapsackVars):\n",
+    "    return -objective(v) if constraint(v) else 0"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "5441f00f-9773-40ad-9f15-e292a1831157",
+   "metadata": {},
+   "source": [
+    "## Define the digital constraints predicate\n",
+    "\n",
+    "Here we just use the classical constraint function, which will be tranlsated to a quantum operation. The result is written to an allocated auxilliary."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "36bd9938-83b2-4305-8a03-c2abe1468a89",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "@qfunc\n",
+    "def eval_constraint(v: KnapsackVars, aux: Output[QBit]):\n",
+    "    aux |= constraint(v)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "594ff6c3-90ec-427a-8290-6fc67e2a8dcc",
+   "metadata": {},
+   "source": [
+    "## Apply Objective Phase controlled on the Contraint predicate result\n",
+    "\n",
+    "We wrap the objective `phase` statement with the constraint predicate, so the allocated auxilliary will be release afterwards.\n",
+    "The effective phase will be:\n",
+    "$$\n",
+    "|x\\rangle \\xrightarrow{U_{\\text{o}}(\\theta)} \n",
+    "\\begin{cases}\n",
+    "e^{i\\theta f_{\\text{obj}}(x)} |x\\rangle & \\text{if } \\text{constraint}(x) = 1, \\\\\n",
+    "|x\\rangle & \\text{if } \\text{constraint}(x) = 0.\n",
+    "\\end{cases}\n",
+    "$$"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "d29d66cb-9bca-48eb-951b-c5361145225c",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "@qfunc\n",
+    "def apply_cost(gamma: CReal, v: KnapsackVars) -> None:\n",
+    "    aux = QBit(\"aux\")\n",
+    "    within_apply(  # Rotate states per their objective value, if they satisfy the constraint\n",
+    "        within=lambda: eval_constraint(v, aux),\n",
+    "        apply=lambda: control(aux, lambda: phase(-objective(v), gamma)),\n",
+    "    )"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "f3d86f42-3a3b-4311-ad38-db53e93b2f95",
+   "metadata": {},
+   "source": [
+    "## Assemble to the full QAOA algorithm"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "32903984-f50b-4580-909a-413823932c90",
+   "metadata": {},
+   "source": [
+    "As in the vanilla QAOA, the cost and mixer layers are applied sequentially with varying parameters, that will be set by the classical optimization loop:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "fb2ad242-4ac2-4fc1-befd-65f8c8aca582",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Opening: https://platform.classiq.io/circuit/a5c62332-49aa-42a9-9ceb-7681eb0036f2?version=0.62.0\n"
+     ]
+    }
+   ],
+   "source": [
+    "NUM_LAYERS = 3\n",
+    "\n",
+    "\n",
+    "@qfunc\n",
+    "def main(params: CArray[CReal, NUM_LAYERS * 2], v: Output[KnapsackVars]):\n",
+    "    allocate(v.size, v)\n",
+    "    hadamard_transform(v)\n",
+    "    repeat(\n",
+    "        NUM_LAYERS,\n",
+    "        lambda i: [\n",
+    "            apply_cost(params[2 * i], v),\n",
+    "            apply_to_all(lambda q: RX(params[2 * i + 1], q), v),  # mixer layer\n",
+    "        ],\n",
+    "    )\n",
+    "\n",
+    "\n",
+    "qmod = create_model(main)\n",
+    "write_qmod(qmod, \"qaoa_knapsack\")\n",
+    "qprog = synthesize(qmod)\n",
+    "show(qprog)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "9d7d03b2-ffdf-42a5-84e1-a998a0d1c02e",
+   "metadata": {},
+   "source": [
+    "## Classical Optimization\n",
+    "\n",
+    "Now we have a parameteric circuit, that we can sample by providing it the expected parameters, which are an array of size `NUM_LAYERS*2`.\n",
+    "The `ExecutionSession` object is used in order to execute the circuit with given pararmeters. the method `ExecutionSession.estimate_cost` should be provided with the execution parameters and a `cost_func` for evaluating the cost of a given sample. Notice that the same `objective` function that was use in the quantum `phase` application is used here in the classical post-processing.\n",
+    "\n",
+    "For the classical optimizer we use `scipy.optimize.minimize` with the `COBYLA` optimization method, that will be called with the `evaluate_params` function."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "id": "ba3e0e6d-1c88-45e9-a3e9-1fc7301b70a3",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "Optimization Progress: 61it [10:08,  9.97s/it]                                                                                                                                                                                                     "
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Optimized parameters: [0.9649326851203814, -0.23165924563160517, 0.0074804482882825435, -0.3747878673787718, -0.12849067421962063, -0.07711635030658603]\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "Text(0.5, 1.0, 'Cost convergence')"
+      ]
+     },
+     "execution_count": 12,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import math\n",
+    "\n",
+    "import matplotlib.pyplot as plt\n",
+    "import numpy as np\n",
+    "import scipy\n",
+    "from tqdm import tqdm\n",
+    "\n",
+    "from classiq.execution import *\n",
+    "\n",
+    "NUM_SHOTS = 1000\n",
+    "MAX_ITERATIONS = 60\n",
+    "\n",
+    "# start with a linear scheduling guess\n",
+    "initial_params = (\n",
+    "    np.concatenate((np.linspace(0, 1, NUM_LAYERS), np.linspace(1, 0, NUM_LAYERS)))\n",
+    "    * math.pi\n",
+    ")\n",
+    "\n",
+    "cost_trace = []\n",
+    "\n",
+    "\n",
+    "def evaluate_params(params):\n",
+    "    cost_estimation = es.estimate_cost(\n",
+    "        cost_func=lambda state: cost(state[\"v\"]), parameters={\"params\": params.tolist()}\n",
+    "    )\n",
+    "    cost_trace.append(cost_estimation)\n",
+    "    return cost_estimation\n",
+    "\n",
+    "\n",
+    "with ExecutionSession(\n",
+    "    qprog, execution_preferences=ExecutionPreferences(num_shots=NUM_SHOTS)\n",
+    ") as es:\n",
+    "    with tqdm(total=MAX_ITERATIONS, desc=\"Optimization Progress\", leave=True) as pbar:\n",
+    "\n",
+    "        def progress_bar(xk: np.ndarray) -> None:\n",
+    "            pbar.update(1)  # increment progress bar\n",
+    "\n",
+    "        final_params = scipy.optimize.minimize(\n",
+    "            fun=evaluate_params,\n",
+    "            x0=initial_params,\n",
+    "            method=\"COBYLA\",\n",
+    "            options={\"maxiter\": MAX_ITERATIONS},\n",
+    "            callback=progress_bar,\n",
+    "        ).x.tolist()\n",
+    "\n",
+    "print(f\"Optimized parameters: {final_params}\")\n",
+    "plt.plot(cost_trace)\n",
+    "plt.xlabel(\"Iterations\")\n",
+    "plt.ylabel(\"Cost\")\n",
+    "plt.title(\"Cost convergence\")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "b7b2d99c-0136-4330-a0f9-57fc060fecf3",
+   "metadata": {},
+   "source": [
+    "After the optimization, we sample the the circuit with the optimized parameters:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "id": "9181681c-682f-4393-bd36-3d2643935030",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "with ExecutionSession(\n",
+    "    qprog, execution_preferences=ExecutionPreferences(num_shots=NUM_SHOTS)\n",
+    ") as es:\n",
+    "    res = es.sample({\"params\": final_params})"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "6ee36326-ed17-4e03-89fb-b4be84faab51",
+   "metadata": {},
+   "source": [
+    "Print the resulting solutions according to the probability:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "id": "40dbfa82-e7c9-40e2-800a-f8e60defccc4",
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "solution={'a': 3, 'b': 2} probability=0.026 objective=19 constraint=True\n",
+      "solution={'a': 1, 'b': 3} probability=0.036 objective=18 constraint=True\n",
+      "solution={'a': 6, 'b': 0} probability=0.03 objective=18 constraint=True\n",
+      "solution={'a': 4, 'b': 1} probability=0.038 objective=17 constraint=True\n",
+      "solution={'a': 2, 'b': 2} probability=0.035 objective=16 constraint=True\n",
+      "solution={'a': 0, 'b': 3} probability=0.032 objective=15 constraint=True\n",
+      "solution={'a': 5, 'b': 0} probability=0.027 objective=15 constraint=True\n",
+      "solution={'a': 3, 'b': 1} probability=0.033 objective=14 constraint=True\n",
+      "solution={'a': 1, 'b': 2} probability=0.022 objective=13 constraint=True\n",
+      "solution={'a': 4, 'b': 0} probability=0.035 objective=12 constraint=True\n",
+      "solution={'a': 2, 'b': 1} probability=0.022 objective=11 constraint=True\n",
+      "solution={'a': 0, 'b': 2} probability=0.036 objective=10 constraint=True\n",
+      "solution={'a': 3, 'b': 0} probability=0.037 objective=9 constraint=True\n",
+      "solution={'a': 1, 'b': 1} probability=0.032 objective=8 constraint=True\n",
+      "solution={'a': 2, 'b': 0} probability=0.046 objective=6 constraint=True\n",
+      "solution={'a': 0, 'b': 1} probability=0.024 objective=5 constraint=True\n",
+      "solution={'a': 1, 'b': 0} probability=0.029 objective=3 constraint=True\n",
+      "solution={'a': 2, 'b': 3} probability=0.039 objective=21 constraint=False\n",
+      "solution={'a': 5, 'b': 2} probability=0.037 objective=25 constraint=False\n",
+      "solution={'a': 4, 'b': 2} probability=0.037 objective=22 constraint=False\n",
+      "solution={'a': 7, 'b': 3} probability=0.035 objective=36 constraint=False\n",
+      "solution={'a': 3, 'b': 3} probability=0.032 objective=24 constraint=False\n",
+      "solution={'a': 0, 'b': 0} probability=0.032 objective=0 constraint=True\n",
+      "solution={'a': 5, 'b': 3} probability=0.032 objective=30 constraint=False\n",
+      "solution={'a': 4, 'b': 3} probability=0.031 objective=27 constraint=False\n",
+      "solution={'a': 5, 'b': 1} probability=0.031 objective=20 constraint=False\n",
+      "solution={'a': 6, 'b': 3} probability=0.028 objective=33 constraint=False\n",
+      "solution={'a': 7, 'b': 0} probability=0.028 objective=21 constraint=False\n",
+      "solution={'a': 7, 'b': 2} probability=0.028 objective=31 constraint=False\n",
+      "solution={'a': 6, 'b': 2} probability=0.025 objective=28 constraint=False\n",
+      "solution={'a': 6, 'b': 1} probability=0.024 objective=23 constraint=False\n",
+      "solution={'a': 7, 'b': 1} probability=0.021 objective=26 constraint=False\n"
+     ]
+    }
+   ],
+   "source": [
+    "sorted_counts = sorted(res.parsed_counts, key=lambda sampled: cost(sampled.state[\"v\"]))\n",
+    "for sampled in sorted_counts:\n",
+    "    v = sampled.state[\"v\"]\n",
+    "    print(\n",
+    "        f\"solution={v} probability={sampled.shots/NUM_SHOTS} objective={objective(v)} constraint={constraint(v)}\"\n",
+    "    )"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "228e42ae-130c-4a57-a3d9-db52acb1a783",
+   "metadata": {},
+   "source": [
+    "## References\n",
+    "\n",
+    "<a id='QAOA'>[1]</a>: [Farhi, Edward, Jeffrey Goldstone, and Sam Gutmann. \"A quantum approximate optimization algorithm.\" arXiv preprint arXiv:1411.4028 (2014).](https://arxiv.org/abs/1411.4028)\n",
+    "\n",
+    "<a id='knapsack'>[2]</a>: [Knapsack problem (Wikipedia)](https://en.wikipedia.org/wiki/Knapsack_problem)"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.11.4"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/algorithms/qaoa/knapsack/qaoa_knapsack.metadata.json b/algorithms/qaoa/knapsack/qaoa_knapsack.metadata.json
new file mode 100644
index 000000000..7d84c4a8e
--- /dev/null
+++ b/algorithms/qaoa/knapsack/qaoa_knapsack.metadata.json
@@ -0,0 +1,7 @@
+{
+  "friendly_name": "Constrained QAOA: Knapsack",
+  "description": "Optimizing the Knapsack problem using the QAOA Algorithm",
+  "problem_domain_tags": ["optimization"],
+  "qmod_type": ["algorithms"],
+  "level": ["demos"]
+}
diff --git a/algorithms/qaoa/knapsack/qaoa_knapsack.qmod b/algorithms/qaoa/knapsack/qaoa_knapsack.qmod
new file mode 100644
index 000000000..57f7492f6
--- /dev/null
+++ b/algorithms/qaoa/knapsack/qaoa_knapsack.qmod
@@ -0,0 +1,32 @@
+qstruct KnapsackVars {
+  a: qnum<3>;
+  b: qnum<2>;
+}
+
+
+
+qfunc eval_constraint(v: KnapsackVars, output aux: qbit) {
+  aux = ((v.a * 2) + (v.b * 3)) <= 12;
+}
+
+qfunc apply_cost(gamma: real, v: KnapsackVars) {
+  aux: qbit;
+  within {
+    eval_constraint(v, aux);
+  } apply {
+    control (aux) {
+      phase (-((v.a * 3) + (v.b * 5)), gamma);
+    }
+  }
+}
+
+qfunc main(params: real[6], output v: KnapsackVars) {
+  allocate(v.size, v);
+  hadamard_transform(v);
+  repeat (i: 3) {
+    apply_cost(params[2 * i], v);
+    apply_to_all(lambda(q) {
+      RX(params[(2 * i) + 1], q);
+    }, v);
+  }
+}
diff --git a/algorithms/qaoa/knapsack/qaoa_knapsack.synthesis_options.json b/algorithms/qaoa/knapsack/qaoa_knapsack.synthesis_options.json
new file mode 100644
index 000000000..efd023c6a
--- /dev/null
+++ b/algorithms/qaoa/knapsack/qaoa_knapsack.synthesis_options.json
@@ -0,0 +1,43 @@
+{
+  "constraints": {
+    "max_gate_count": {},
+    "optimization_parameter": "no_opt"
+  },
+  "preferences": {
+    "machine_precision": 8,
+    "custom_hardware_settings": {
+      "basis_gates": [
+        "x",
+        "p",
+        "tdg",
+        "sx",
+        "rz",
+        "sxdg",
+        "sdg",
+        "ry",
+        "cy",
+        "t",
+        "y",
+        "s",
+        "u1",
+        "cz",
+        "z",
+        "rx",
+        "u2",
+        "h",
+        "u",
+        "r",
+        "id",
+        "cx"
+      ],
+      "is_symmetric_connectivity": true
+    },
+    "debug_mode": true,
+    "synthesize_all_separately": false,
+    "output_format": ["qasm"],
+    "pretty_qasm": true,
+    "transpilation_option": "auto optimize",
+    "timeout_seconds": 300,
+    "random_seed": 3016072189
+  }
+}
diff --git a/applications/optimization/knapsack_integer/knapsack_integer.ipynb b/applications/optimization/knapsack_integer/knapsack_integer.ipynb
deleted file mode 100644
index fd682877a..000000000
--- a/applications/optimization/knapsack_integer/knapsack_integer.ipynb
+++ /dev/null
@@ -1,649 +0,0 @@
-{
- "cells": [
-  {
-   "cell_type": "markdown",
-   "id": "13d83b59-57f7-48ee-8bff-deda7d28edc5",
-   "metadata": {
-    "tags": []
-   },
-   "source": [
-    "\n",
-    "# Integer Knapsack\n"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "6d56bb6d-9f3b-45db-8e98-b50f27af7505",
-   "metadata": {},
-   "source": [
-    "## Background\n",
-    "\n",
-    "Given a set of items, determine how many items to put in the knapsack to maximize their summed value.\n",
-    "\n",
-    "#### Define:\n",
-    "\n",
-    "- $x_i$ is the number of items from each type.\n",
-    "\n",
-    "- $v_i$ is the value of each item.\n",
-    "\n",
-    "- $w_i$ is the weight of each item.\n",
-    "\n",
-    "- $D$ is the range of $x$.\n",
-    "\n",
-    "Find $x$ that maximizes the value: $\\begin{aligned}\n",
-    "\\max_{x_i \\in D} \\Sigma_i v_i x_i\\\\\n",
-    "\\end{aligned}$\n",
-    "\n",
-    "and constrained by the weight: $\\begin{aligned}\n",
-    "\\Sigma_i w_i x_i = C\n",
-    "\\end{aligned}$\n"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "064a5428-2587-44b4-8f59-fc46773e20c0",
-   "metadata": {
-    "tags": []
-   },
-   "source": [
-    "## Problem Versions\n"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "b3cec06e-609c-4223-a959-72b518155491",
-   "metadata": {},
-   "source": [
-    "**Binary Knapsack**\n",
-    "\n",
-    "Range: $D = \\{0, 1\\}$\n",
-    "\n",
-    "**Integer Knapsack**\n",
-    "\n",
-    "Range: $D = [0, b]$\n"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "fdbcef63-3c8e-4f0a-a4fb-9058807fa3a8",
-   "metadata": {
-    "tags": []
-   },
-   "source": [
-    "## Knapsack with integer variables and inequality constraint\n"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "0bdc4e6a-199b-44b3-bd3f-fd24722b616b",
-   "metadata": {},
-   "source": [
-    "### Define the optimization problem"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 1,
-   "id": "83ddbd07-f7ab-4d80-b357-3890622d395f",
-   "metadata": {
-    "execution": {
-     "iopub.execute_input": "2024-05-07T15:47:54.368809Z",
-     "iopub.status.busy": "2024-05-07T15:47:54.368590Z",
-     "iopub.status.idle": "2024-05-07T15:47:54.786404Z",
-     "shell.execute_reply": "2024-05-07T15:47:54.785613Z"
-    },
-    "tags": []
-   },
-   "outputs": [],
-   "source": [
-    "import numpy as np\n",
-    "import pyomo.environ as pyo\n",
-    "\n",
-    "\n",
-    "def define_knapsack_model(weights, values, max_weight, item_bound):\n",
-    "    model = pyo.ConcreteModel(\"knapsack\")\n",
-    "    num_items = len(weights)\n",
-    "\n",
-    "    model.x = pyo.Var(\n",
-    "        range(num_items), domain=pyo.NonNegativeIntegers, bounds=(0, item_bound)\n",
-    "    )\n",
-    "\n",
-    "    x_variables = np.array(list(model.x.values()))\n",
-    "\n",
-    "    model.weight_constraint = pyo.Constraint(expr=x_variables @ weights <= max_weight)\n",
-    "\n",
-    "    model.value = pyo.Objective(expr=x_variables @ values, sense=pyo.maximize)\n",
-    "\n",
-    "    return model"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "3496c5d6-7df6-49fb-b5b9-5ba48d2b7d62",
-   "metadata": {},
-   "source": [
-    "### Initialize the model with parameters"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 2,
-   "id": "62a98e1c-5dbe-42f9-989e-83ee1df7196b",
-   "metadata": {
-    "execution": {
-     "iopub.execute_input": "2024-05-07T15:47:54.791476Z",
-     "iopub.status.busy": "2024-05-07T15:47:54.790333Z",
-     "iopub.status.idle": "2024-05-07T15:47:54.796335Z",
-     "shell.execute_reply": "2024-05-07T15:47:54.795653Z"
-    },
-    "tags": []
-   },
-   "outputs": [],
-   "source": [
-    "knapsack_model = define_knapsack_model(\n",
-    "    weights=[2, 3], values=[3, 5], max_weight=12, item_bound=3\n",
-    ")"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "35588b31-eba4-445b-bb39-e1c74ba6c71f",
-   "metadata": {
-    "tags": []
-   },
-   "source": [
-    "## Setting Up the Classiq Problem Instance\n",
-    "\n",
-    "In order to solve the Pyomo model defined above, we use the Classiq combinatorial optimization engine. For the quantum part of the QAOA algorithm (`QAOAConfig`) - define the number of repetitions (`num_layers`):"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 3,
-   "id": "726424db-c61a-465f-af29-3f739d379989",
-   "metadata": {
-    "execution": {
-     "iopub.execute_input": "2024-05-07T15:47:54.800925Z",
-     "iopub.status.busy": "2024-05-07T15:47:54.799768Z",
-     "iopub.status.idle": "2024-05-07T15:47:57.354442Z",
-     "shell.execute_reply": "2024-05-07T15:47:57.353785Z"
-    },
-    "tags": []
-   },
-   "outputs": [],
-   "source": [
-    "from classiq import *\n",
-    "from classiq.applications.combinatorial_optimization import OptimizerConfig, QAOAConfig\n",
-    "\n",
-    "qaoa_config = QAOAConfig(num_layers=5, penalty_energy=20.0)"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "14d12f81-d8fc-4e48-9ddc-59dd63f4c6be",
-   "metadata": {},
-   "source": [
-    "For the classical optimization part of the QAOA algorithm we define the maximum number of classical iterations (`max_iteration`) and the $\\alpha$-parameter (`alpha_cvar`) for running CVaR-QAOA, an improved variation of the QAOA algorithm [[3](#cvar)]:"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 4,
-   "id": "2a0c7071-ec6c-4309-a01a-da7e9d3e9161",
-   "metadata": {
-    "execution": {
-     "iopub.execute_input": "2024-05-07T15:47:57.357511Z",
-     "iopub.status.busy": "2024-05-07T15:47:57.356995Z",
-     "iopub.status.idle": "2024-05-07T15:47:57.360426Z",
-     "shell.execute_reply": "2024-05-07T15:47:57.359833Z"
-    },
-    "pycharm": {
-     "name": "#%%\n"
-    },
-    "tags": []
-   },
-   "outputs": [],
-   "source": [
-    "optimizer_config = OptimizerConfig(max_iteration=60, alpha_cvar=0.7)"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "82520e92-4e1a-438c-ae33-1d3fa51a8fb6",
-   "metadata": {},
-   "source": [
-    "Lastly, we load the model, based on the problem and algorithm parameters, which we can use to solve the problem:"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 5,
-   "id": "393de0f0-704f-4240-a2de-50fb647470b3",
-   "metadata": {
-    "execution": {
-     "iopub.execute_input": "2024-05-07T15:47:57.362661Z",
-     "iopub.status.busy": "2024-05-07T15:47:57.362484Z",
-     "iopub.status.idle": "2024-05-07T15:47:58.414397Z",
-     "shell.execute_reply": "2024-05-07T15:47:58.413306Z"
-    },
-    "pycharm": {
-     "name": "#%%\n"
-    },
-    "tags": []
-   },
-   "outputs": [],
-   "source": [
-    "qmod = construct_combinatorial_optimization_model(\n",
-    "    pyo_model=knapsack_model,\n",
-    "    qaoa_config=qaoa_config,\n",
-    "    optimizer_config=optimizer_config,\n",
-    ")"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "9b0c18d8-9ea0-45b1-b6f2-70ea87996bf7",
-   "metadata": {},
-   "source": [
-    "We also set the quantum backend we want to execute on:"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 6,
-   "id": "e5993972-bbc0-4350-ae3f-201b10f3e538",
-   "metadata": {
-    "execution": {
-     "iopub.execute_input": "2024-05-07T15:47:58.418644Z",
-     "iopub.status.busy": "2024-05-07T15:47:58.417642Z",
-     "iopub.status.idle": "2024-05-07T15:47:58.443050Z",
-     "shell.execute_reply": "2024-05-07T15:47:58.442289Z"
-    },
-    "tags": []
-   },
-   "outputs": [],
-   "source": [
-    "from classiq.execution import ClassiqBackendPreferences\n",
-    "\n",
-    "qmod = set_execution_preferences(\n",
-    "    qmod, backend_preferences=ClassiqBackendPreferences(backend_name=\"simulator\")\n",
-    ")"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "e04769db-fb88-4fcf-aa9a-baf252e1b1fd",
-   "metadata": {},
-   "source": [
-    "## Synthesizing the QAOA Circuit and Solving the Problem\n",
-    "\n",
-    "We can now synthesize and view the QAOA circuit (ansatz) used to solve the optimization problem:"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 7,
-   "id": "83d3d505-c96e-480a-b977-9dd643968033",
-   "metadata": {
-    "execution": {
-     "iopub.execute_input": "2024-05-07T15:47:58.448233Z",
-     "iopub.status.busy": "2024-05-07T15:47:58.447033Z",
-     "iopub.status.idle": "2024-05-07T15:47:58.483802Z",
-     "shell.execute_reply": "2024-05-07T15:47:58.483056Z"
-    }
-   },
-   "outputs": [],
-   "source": [
-    "write_qmod(qmod, \"knapsack_integer\")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 8,
-   "id": "47db129e-2770-413d-b17d-bef2a2797802",
-   "metadata": {
-    "execution": {
-     "iopub.execute_input": "2024-05-07T15:47:58.488712Z",
-     "iopub.status.busy": "2024-05-07T15:47:58.487503Z",
-     "iopub.status.idle": "2024-05-07T15:48:04.356184Z",
-     "shell.execute_reply": "2024-05-07T15:48:04.355488Z"
-    },
-    "pycharm": {
-     "name": "#%%\n"
-    },
-    "tags": []
-   },
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Opening: https://platform.classiq.io/circuit/d59e237b-8d26-436d-b53f-4f363c0becb5?version=0.41.0.dev39%2B79c8fd0855\n"
-     ]
-    }
-   ],
-   "source": [
-    "qprog = synthesize(qmod)\n",
-    "show(qprog)"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "ed67ddd7-0d0a-4c28-b39d-a9cc7540ac12",
-   "metadata": {},
-   "source": [
-    "We now solve the problem by calling the `execute` function on the quantum program we have generated:"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 9,
-   "id": "a1dc0d76-169b-44df-a97f-e7f607d97735",
-   "metadata": {
-    "execution": {
-     "iopub.execute_input": "2024-05-07T15:48:04.358992Z",
-     "iopub.status.busy": "2024-05-07T15:48:04.358466Z",
-     "iopub.status.idle": "2024-05-07T15:48:14.982899Z",
-     "shell.execute_reply": "2024-05-07T15:48:14.982199Z"
-    },
-    "tags": []
-   },
-   "outputs": [],
-   "source": [
-    "result = execute(qprog).result_value()"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "a84dd23b-4a3c-48ed-8cee-ec673ae9774a",
-   "metadata": {},
-   "source": [
-    "We can check the convergence of the run:"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 10,
-   "id": "4234b965-602a-4087-a6d8-05c2f5407df2",
-   "metadata": {
-    "execution": {
-     "iopub.execute_input": "2024-05-07T15:48:14.987797Z",
-     "iopub.status.busy": "2024-05-07T15:48:14.986659Z",
-     "iopub.status.idle": "2024-05-07T15:48:15.063315Z",
-     "shell.execute_reply": "2024-05-07T15:48:15.062610Z"
-    },
-    "tags": []
-   },
-   "outputs": [
-    {
-     "data": {
-      "image/jpeg": 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",
-      "text/plain": [
-       "<PIL.JpegImagePlugin.JpegImageFile image mode=RGB size=640x480>"
-      ]
-     },
-     "execution_count": 10,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "result.convergence_graph"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "51a8a8a9-dbe5-433f-a8c0-f7adb959b27e",
-   "metadata": {
-    "tags": []
-   },
-   "source": [
-    "# Optimization Results"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "60ed540c-35ae-499a-b682-458e69d79652",
-   "metadata": {},
-   "source": [
-    "We can also examine the statistics of the algorithm:"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 11,
-   "id": "5a25edea-7281-4255-a6ff-38c8cecf280a",
-   "metadata": {
-    "execution": {
-     "iopub.execute_input": "2024-05-07T15:48:15.067119Z",
-     "iopub.status.busy": "2024-05-07T15:48:15.066871Z",
-     "iopub.status.idle": "2024-05-07T15:48:15.558582Z",
-     "shell.execute_reply": "2024-05-07T15:48:15.557874Z"
-    },
-    "tags": []
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "<div>\n",
-       "<style scoped>\n",
-       "    .dataframe tbody tr th:only-of-type {\n",
-       "        vertical-align: middle;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe tbody tr th {\n",
-       "        vertical-align: top;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe thead th {\n",
-       "        text-align: right;\n",
-       "    }\n",
-       "</style>\n",
-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr style=\"text-align: right;\">\n",
-       "      <th></th>\n",
-       "      <th>probability</th>\n",
-       "      <th>cost</th>\n",
-       "      <th>solution</th>\n",
-       "      <th>count</th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th>38</th>\n",
-       "      <td>0.008</td>\n",
-       "      <td>19.0</td>\n",
-       "      <td>[3, 2]</td>\n",
-       "      <td>8</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>101</th>\n",
-       "      <td>0.003</td>\n",
-       "      <td>18.0</td>\n",
-       "      <td>[1, 3]</td>\n",
-       "      <td>3</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>74</th>\n",
-       "      <td>0.004</td>\n",
-       "      <td>16.0</td>\n",
-       "      <td>[2, 2]</td>\n",
-       "      <td>4</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>16</th>\n",
-       "      <td>0.012</td>\n",
-       "      <td>15.0</td>\n",
-       "      <td>[0, 3]</td>\n",
-       "      <td>12</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>7</th>\n",
-       "      <td>0.017</td>\n",
-       "      <td>14.0</td>\n",
-       "      <td>[3, 1]</td>\n",
-       "      <td>17</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "     probability  cost solution  count\n",
-       "38         0.008  19.0   [3, 2]      8\n",
-       "101        0.003  18.0   [1, 3]      3\n",
-       "74         0.004  16.0   [2, 2]      4\n",
-       "16         0.012  15.0   [0, 3]     12\n",
-       "7          0.017  14.0   [3, 1]     17"
-      ]
-     },
-     "execution_count": 11,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "import pandas as pd\n",
-    "\n",
-    "from classiq.applications.combinatorial_optimization import (\n",
-    "    get_optimization_solution_from_pyo,\n",
-    ")\n",
-    "\n",
-    "solution = get_optimization_solution_from_pyo(\n",
-    "    knapsack_model, vqe_result=result, penalty_energy=qaoa_config.penalty_energy\n",
-    ")\n",
-    "optimization_result = pd.DataFrame.from_records(solution)\n",
-    "optimization_result.sort_values(by=\"cost\", ascending=False).head(5)"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "2d654d5e-f064-4820-82e8-2b090a4bd72f",
-   "metadata": {},
-   "source": [
-    "And the histogram:"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 12,
-   "id": "1f8e36b4-a949-475b-b415-5a27a84037f7",
-   "metadata": {
-    "execution": {
-     "iopub.execute_input": "2024-05-07T15:48:15.561275Z",
-     "iopub.status.busy": "2024-05-07T15:48:15.560724Z",
-     "iopub.status.idle": "2024-05-07T15:48:15.748757Z",
-     "shell.execute_reply": "2024-05-07T15:48:15.748036Z"
-    },
-    "tags": []
-   },
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "array([[<Axes: title={'center': 'cost'}>]], dtype=object)"
-      ]
-     },
-     "execution_count": 12,
-     "metadata": {},
-     "output_type": "execute_result"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
-   "source": [
-    "optimization_result.hist(\"cost\", weights=optimization_result[\"probability\"])"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "7ef94f22-e503-464c-b996-773c989511b4",
-   "metadata": {},
-   "source": [
-    "Lastly, we can compare to the classical solution of the problem:"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 13,
-   "id": "f3d175f1-ce3b-4a00-8e53-ea6220e9e4ff",
-   "metadata": {
-    "execution": {
-     "iopub.execute_input": "2024-05-07T15:48:15.751313Z",
-     "iopub.status.busy": "2024-05-07T15:48:15.750925Z",
-     "iopub.status.idle": "2024-05-07T15:48:15.791538Z",
-     "shell.execute_reply": "2024-05-07T15:48:15.790837Z"
-    },
-    "pycharm": {
-     "name": "#%%\n"
-    },
-    "tags": []
-   },
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Model knapsack\n",
-      "\n",
-      "  Variables:\n",
-      "    x : Size=2, Index=x_index\n",
-      "        Key : Lower : Value : Upper : Fixed : Stale : Domain\n",
-      "          0 :     0 :   3.0 :     3 : False : False : NonNegativeIntegers\n",
-      "          1 :     0 :   2.0 :     3 : False : False : NonNegativeIntegers\n",
-      "\n",
-      "  Objectives:\n",
-      "    value : Size=1, Index=None, Active=True\n",
-      "        Key  : Active : Value\n",
-      "        None :   True :  19.0\n",
-      "\n",
-      "  Constraints:\n",
-      "    weight_constraint : Size=1\n",
-      "        Key  : Lower : Body : Upper\n",
-      "        None :  None : 12.0 :  12.0\n"
-     ]
-    }
-   ],
-   "source": [
-    "from pyomo.opt import SolverFactory\n",
-    "\n",
-    "solver = SolverFactory(\"couenne\")\n",
-    "solver.solve(knapsack_model)\n",
-    "\n",
-    "knapsack_model.display()"
-   ]
-  }
- ],
- "metadata": {
-  "kernelspec": {
-   "display_name": "Python 3 (ipykernel)",
-   "language": "python",
-   "name": "python3"
-  },
-  "language_info": {
-   "codemirror_mode": {
-    "name": "ipython",
-    "version": 3
-   },
-   "file_extension": ".py",
-   "mimetype": "text/x-python",
-   "name": "python",
-   "nbconvert_exporter": "python",
-   "pygments_lexer": "ipython3",
-   "version": "3.11.9"
-  }
- },
- "nbformat": 4,
- "nbformat_minor": 5
-}
diff --git a/applications/optimization/knapsack_integer/knapsack_integer.metadata.json b/applications/optimization/knapsack_integer/knapsack_integer.metadata.json
deleted file mode 100644
index 2fa4d57f2..000000000
--- a/applications/optimization/knapsack_integer/knapsack_integer.metadata.json
+++ /dev/null
@@ -1,7 +0,0 @@
-{
-  "friendly_name": "Knapsack: Integer Variables",
-  "description": "Solving Knapsack with Integer Variables Using the QAOA Algorithm",
-  "problem_domain_tags": ["optimization"],
-  "qmod_type": ["application"],
-  "level": ["demos"]
-}
diff --git a/applications/optimization/knapsack_integer/knapsack_integer.qmod b/applications/optimization/knapsack_integer/knapsack_integer.qmod
deleted file mode 100644
index df11dee04..000000000
--- a/applications/optimization/knapsack_integer/knapsack_integer.qmod
+++ /dev/null
@@ -1,504 +0,0 @@
-hamiltonian: PauliTerm[] = [
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=588.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=-150.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=-87.5
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=-175.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z
-    ],
-    coefficient=-58.5
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I
-    ],
-    coefficient=-117.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=-30.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=-60.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=-120.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=150.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=300.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=20.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z
-    ],
-    coefficient=20.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=40.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I
-    ],
-    coefficient=40.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z
-    ],
-    coefficient=40.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::Z,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=80.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I
-    ],
-    coefficient=80.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z
-    ],
-    coefficient=80.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::Z
-    ],
-    coefficient=80.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I
-    ],
-    coefficient=160.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=30.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=60.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=60.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::Z
-    ],
-    coefficient=60.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=120.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=120.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z
-    ],
-    coefficient=120.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::Z,
-      Pauli::I
-    ],
-    coefficient=120.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=240.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I
-    ],
-    coefficient=240.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=180.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=50.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::Z,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=100.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z
-    ],
-    coefficient=100.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::Z,
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I
-    ],
-    coefficient=200.0
-  },
-  PauliTerm {
-    pauli=[
-      Pauli::Z,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::I,
-      Pauli::Z,
-      Pauli::I
-    ],
-    coefficient=200.0
-  }
-];
-
-qfunc main(params_list: real[10], output target: qbit[8]) {
-  allocate(target.len, target);
-  qaoa_penalty(target.len, params_list, hamiltonian, target);
-}
-
-cscope ```
-vqe_result = vqe(
-hamiltonian=hamiltonian,
-maximize=True,
-initial_point=[0.0, 0.003090659340659341, 0.0007726648351648352, 0.002317994505494506, 0.0015453296703296705, 0.0015453296703296705, 0.002317994505494506, 0.0007726648351648352, 0.003090659340659341, 0.0],
-optimizer=Optimizer.COBYLA,
-max_iteration=60,
-tolerance=0.0,
-step_size=0.0,
-skip_compute_variance=False,
-alpha_cvar=0.7
-)
-
-save({"vqe_result": vqe_result, "hamiltonian": hamiltonian})
-```
diff --git a/applications/optimization/knapsack_integer/knapsack_integer.synthesis_options.json b/applications/optimization/knapsack_integer/knapsack_integer.synthesis_options.json
deleted file mode 100644
index 0967ef424..000000000
--- a/applications/optimization/knapsack_integer/knapsack_integer.synthesis_options.json
+++ /dev/null
@@ -1 +0,0 @@
-{}
diff --git a/tests/resources/timeouts.yaml b/tests/resources/timeouts.yaml
index 57bea5e43..3a7b94e45 100644
--- a/tests/resources/timeouts.yaml
+++ b/tests/resources/timeouts.yaml
@@ -129,8 +129,6 @@ integer_linear_programming.ipynb: 400
 integer_linear_programming.qmod: 400
 ising_model.ipynb: 300
 ising_model.qmod: 300
-knapsack_integer.ipynb: 116
-knapsack_integer.qmod: 116
 learning_optimization.ipynb: 80
 linear_combination_of_unitaries.ipynb: 20
 linear_combination_of_unitaries.qmod: 10
@@ -333,3 +331,5 @@ pennylane_cat_qsvt_example.ipynb: 100
 qiskit_qsvt.ipynb: 100
 pennylane_catalyst_discrete_quantum_walk.ipynb: 100
 tket_qsvt_example.ipynb: 100
+qaoa_knapsack.ipynb: 900
+qaoa_knapsack.qmod: 100