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Remove mention of ground state from tutorial 2
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caleb-johnson committed Sep 18, 2024
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4 changes: 2 additions & 2 deletions docs/tutorials/02_qubit_hamiltonian.ipynb
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"\n",
"In this tutorial we implement a [Qiskit pattern](https://docs.quantum.ibm.com/guides/intro-to-patterns) showing how to post-process quantum samples to approximate the minimum eigenvalue and spin-spin correlators for a ``22``-site XX-Z spin-1/2 chain. We will follow a sample-based quantum diagonalization approach [[1]](https://arxiv.org/abs/2405.05068).\n",
"\n",
"While a Qiskit pattern typically involves 4 steps, the aim of this tutorial is to focus on the post-processing of the samples obtained from a quantum circuit whose support coincides with that of the ground state. Consequently, we generate a synthetic set of bitstrings to define the subspace and do not design an ansatz nor sample from a quantum circuit in this tutorial.\n",
"While a Qiskit pattern typically involves 4 steps, the aim of this tutorial is to focus on the post-processing of the samples obtained from a quantum circuit whose support coincides with that of the eigenstate corresponding to the minimum eigenvalue. Consequently, we generate a synthetic set of bitstrings to define the subspace and do not design an ansatz nor sample from a quantum circuit in this tutorial.\n",
"\n",
"The pattern we will implement is as follows:\n",
"\n",
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" - N/A: Will generate synthetic quantum samples\n",
"4. **Step 4: Post-process results**\n",
" - Project the Hamiltonian onto the subspace spanned by the samples\n",
" - Diagonalize the Hamiltonian in the subspace to approximate the ground state\n",
" - Diagonalize the Hamiltonian in the subspace to approximate the minimum eigenstate\n",
" - Calculate spin-spin correlators for each site, $l$"
]
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