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Fixed Depth Hamiltonian Simulation via Cartan Decomposition demo (#1261)
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### Before submitting

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------------------------------------------------------------------------------------------------------------

**Title:**

**Summary:**

**Relevant references:**

**Possible Drawbacks:**

**Related GitHub Issues:**

----
If you are writing a demonstration, please answer these questions to
facilitate the marketing process.

* GOALS — Why are we working on this now?

*Eg. Promote a new PL feature or show a PL implementation of a recent
paper.*


* AUDIENCE — Who is this for?

*Eg. Chemistry researchers, PL educators, beginners in quantum
computing.*


* KEYWORDS — What words should be included in the marketing post?


* Which of the following types of documentation is most similar to your
file?
(more details
[here](https://www.notion.so/xanaduai/Different-kinds-of-documentation-69200645fe59442991c71f9e7d8a77f8))
    
- [ ] Tutorial
- [ ] Demo
- [ ] How-to

[sc-70301]

---------

Co-authored-by: GitHub Nightly Merge Action <[email protected]>
Co-authored-by: dwierichs <[email protected]>
Co-authored-by: David Wierichs <[email protected]>
Co-authored-by: Justin Pickering <[email protected]>
Co-authored-by: Ivana Kurečić <[email protected]>
Co-authored-by: justinpickering <[email protected]>
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7 people authored Dec 19, 2024
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{
"title": "Fixed depth Hamiltonian simulation via Cartan decomposition",
"authors": [
{
"username": "Qottmann"
}
],
"dateOfPublication": "2024-12-19T00:00:00+00:00",
"dateOfLastModification": "2024-12-19T00:00:00+00:00",
"categories": [
"Quantum Computing",
"Algorithms"
],
"tags": [],
"previewImages": [
{
"type": "thumbnail",
"uri": "/_static/demo_thumbnails/regular_demo_thumbnails/thumbnail_fixed_depth_hamiltonian_simulation_via_cartan_decomposition.png"
},
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"uri": "/_static/demo_thumbnails/large_demo_thumbnails/thumbnail_large_fixed_depth_hamiltonian_simulation_via_cartan_decomposition.png"
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],
"seoDescription": "Using Cartan decomposition and the KAK theorem to decompose unitary gates following the approach in the paper Fixed Depth Hamiltonian Simulation via Cartan Decomposition (arXiv:2104.00728) with a code implementation in PennyLane.",
"doi": "",
"references": [
{
"id": "Kökcü",
"type": "preprint",
"title": "Fixed Depth Hamiltonian Simulation via Cartan Decomposition",
"authors": "Efekan Kökcü, Thomas Steckmann, Yan Wang, J. K. Freericks, Eugene F. Dumitrescu, Alexander F. Kemper",
"year": "2021",
"publisher": "",
"journal": "",
"doi": "10.48550/arXiv.2104.00728",
"url": "https://arxiv.org/abs/2104.00728"
},
{
"id": "Chu",
"type": "preprint",
"title": "Lax dynamics for Cartan decomposition with applications to Hamiltonian simulation",
"authors": "Moody T. Chu",
"year": "2024",
"publisher": "",
"journal": "",
"doi": "10.1093/imanum/drad018",
"url": "https://mtchu.math.ncsu.edu/Research/Papers/Cartan_02.pdf"
}
],
"basedOnPapers": ["10.48550/arXiv.2104.00728"],
"referencedByPapers": [],
"relatedContent": [
{
"type": "demonstration",
"id": "tutorial_kak_theorem",
"weight": 1.0
},
{
"type": "demonstration",
"id": "tutorial_liealgebra",
"weight": 1.0
}
]
}
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