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[Demo] The KAK theorem #1227

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Merge branch 'kak-theorem' of github.com:PennyLaneAI/qml into kak-the…
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175 changes: 175 additions & 0 deletions demonstrations/tutorial_kak_theorem.metadata.json
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{
"title": "The KAK theorem",
"authors": [
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"username": "dwierichs"
}
],
"dateOfPublication": "2024-12-05T00:00:00+00:00",
"dateOfLastModification": "2024-12-05T00:00:00+00:00",
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"categories": [
"Quantum Computing",
"Algorithms"
],
"tags": [],
"previewImages": [
{
"type": "thumbnail",
"uri": "/_static/demo_thumbnails/regular_demo_thumbnails/thumbnail_kak_theorem.png"
},
{
"type": "large_thumbnail",
"uri": "/_static/demo_thumbnails/large_demo_thumbnails/thumbnail_large_kak_theorem.png"
}
],
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"seoDescription": "Learn about the KAK theorem and how it powers circuit decompositions.",
"doi": "",
"canonicalURL": "/qml/demos/tutorial_kak_theorem",
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"references": [
{
"id": "hall",
"type": "book",
"title": "Lie Groups, Lie Algebras, and Representations. An Elementary Introduction",
"authors": "Brian C. Hall",
"year": "2015",
"publisher": "Springer",
"journal": "Graduate Texts in Mathematics",
"doi": "10.1007/978-3-319-13467-3",
"url": "https://link.springer.com/book/10.1007/978-3-319-13467-3"
},
{
"id": "tu",
"type": "book",
"title": "An Introduction to Manifolds",
"authors": "Loring W. Tu",
"year": "2011",
"publisher": "Springer",
"journal": "Universitext",
"doi": "10.1007/978-1-4419-7400-6",
"url": "https://link.springer.com/book/10.1007/978-1-4419-7400-6"
},
{
"id": "arvanitogeorgos",
"type": "book",
"title": "An Introduction to Lie Groups and the Geometry of Homogeneous Spaces",
"authors": "Andreas Arvanitogeorgos",
"year": "2003",
"publisher": "American Mathematical Society",
"journal": "Student Mathematical Library",
"url": "https://bookstore.ams.org/stml-22"
},
{
"id": "helgason",
"type": "book",
"title": "Differential geometry, Lie groups, and symmetric spaces",
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"doi": "10.1090/gsm/034",
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"title": "lie-algebraic classical simulations for variational quantum computing",
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"year": "2023",
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"doi": "10.48550/arxiv.2308.01432",
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"title": "quantum computation, complexity, and many-body physics",
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"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": "2022",
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"doi": "10.1103/PhysRevLett.129.070501",
"url": "https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.129.070501"
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"id": "kokcu_comp",
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"title": "Algebraic Compression of Quantum Circuits for Hamiltonian Evolution",
"authors": "Efekan Kökcü, Daan Camps, Lindsay Bassman, James K. Freericks, Wibe A. de Jong, Roel Van Beeumen, Alexander F. Kemper",
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"doi": "10.1103/PhysRevA.105.032420",
"url": "https://journals.aps.org/pra/abstract/10.1103/PhysRevA.105.032420"
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{
"id": "gu",
"type": "article",
"title": "Fast-forwarding quantum evolution",
"authors": "Shouzhen Gu, Rolando D. Somma, Burak Şahinoğlu",
"year": "2021",
"publisher": "",
"journal": "Quantum",
"doi": "10.22331/q-2021-11-15-577",
"url": "https://quantum-journal.org/papers/q-2021-11-15-577/#"
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{
"id": "dirr",
"type": "article",
"title": "Lie Theory for Quantum Control",
"authors": "G. Dirr, U. Helmke",
"year": "2008",
"publisher": "Gesellschaft für Angewandte Mathematik und Mechanik",
"journal": "Surveys for Applied Mathematics and Mechanics",
"doi": "10.1002/gamm.200890003",
"url": "https://onlinelibrary.wiley.com/doi/abs/10.1002/gamm.200890003"
},
{
"id": "fontana",
"type": "article",
"title": "the adjoint is all you need: characterizing barren plateaus in quantum ansätze",
"authors": "enrico fontana, dylan herman, shouvanik chakrabarti, niraj kumar, romina yalovetzky, jamie heredge, shree hari sureshbabu, marco pistoia",
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"doi": "10.48550/arxiv.2309.09342",
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"relatedContent": [
{
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{
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}
]
}
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