Lie-sim demo

demonstrations/tutorial_liealgebra.py

@@ -6,7 +6,6 @@
 online search attempts and found yourself overwhelmed by high energy physics literature?
 Then this demo might be for you, as we are going to introduce the basic concepts of Lie theory from a perspective that is amenable to
 quantum scientists, engineers, and practitioners.
-Let's see what the fuzz is all about, shall we?
 
 Introduction
 ------------

demonstrations/tutorial_liesim.metadata.json

@@ -0,0 +1,159 @@
+{
+ "title": "g-sim: Lie-algebraic classical simulations for variational quantum computing",
+ "authors": [
+ {
+ "id": "korbinian_kottmann"
+ }
+ ],
+ "dateOfPublication": "2024-06-07T00:00:00+00:00",
+ "dateOfLastModification": "2024-06-07T00:00:00+00:00",
+ "categories": [
+ "Quantum Computing",
+ "Getting Started"
+ ],
+ "tags": [],
+ "previewImages": [
+ {
+ "type": "thumbnail",
+ "uri": "/_static/demonstration_assets/liesim/thumbnail_gsim.png"
+ },
+ {
+ "type": "large_thumbnail",
+ "uri": "/_static/large_demo_thumbnails/thumbnail_large_gsim.png"
+ }
+ ],
+ "seoDescription": "A differentiable implementation of g-sim in PennyLane",
+ "doi": "",
+ "canonicalURL": "/qml/demos/tutorial_liesim",
+ "references": [
+ {
+ "id": "Wiersema",
+ "type": "preprint",
+ "title": "Classification of dynamical Lie algebras for translation-invariant 2-local spin systems in one dimension",
+ "authors": "Roeland Wiersema, Efekan Kökcü, Alexander F. Kemper, Bojko N. Bakalov",
+ "year": "2023",
+ "publisher": "",
+ "journal": "",
+ "doi": "10.48550/arXiv.2309.05690",
+ "url": "https://arxiv.org/abs/2309.05690"
+ },
+ {
+ "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",
+ "year": "2023",
+ "publisher": "",
+ "journal": "",
+ "doi": "10.48550/arXiv.2309.07902",
+ "url": "https://arxiv.org/abs/2309.07902"
+ },
+ {
+ "id": "Ragone",
+ "type": "preprint",
+ "title": "A Unified Theory of Barren Plateaus for Deep Parametrized Quantum Circuits",
+ "authors": "Michael Ragone, Bojko N. Bakalov, Frédéric Sauvage, Alexander F. Kemper, Carlos Ortiz Marrero, Martin Larocca, M. Cerezo",
+ "year": "2023",
+ "publisher": "",
+ "journal": "",
+ "doi": "10.48550/arXiv.2309.09342",
+ "url": "https://arxiv.org/abs/2309.09342"
+ },
+ {
+ "id": "Goh",
+ "type": "preprint",
+ "title": "Lie-algebraic classical simulations for variational quantum computing",
+ "authors": "Matthew L. Goh, Martin Larocca, Lukasz Cincio, M. Cerezo, Frédéric Sauvage",
+ "year": "2023",
+ "publisher": "",
+ "journal": "",
+ "doi": "10.48550/arXiv.2308.01432",
+ "url": "https://arxiv.org/abs/2308.01432"
+ },
+ {
+ "id": "Somma",
+ "type": "preprint",
+ "title": "Quantum Computation, Complexity, and Many-Body Physics",
+ "authors": "Rolando D. Somma",
+ "year": "2005",
+ "publisher": "",
+ "journal": "",
+ "doi": "10.48550/arXiv.quant-ph/0512209",
+ "url": "https://arxiv.org/abs/quant-ph/0512209"
+ },
+ {
+ "id": "Somma2",
+ "type": "preprint",
+ "title": "Efficient solvability of Hamiltonians and limits on the power of some quantum computational models",
+ "authors": "Rolando Somma, Howard Barnum, Gerardo Ortiz, Emanuel Knill",
+ "year": "2006",
+ "publisher": "",
+ "journal": "",
+ "doi": "10.48550/arXiv.quant-ph/0601030",
+ "url": "https://arxiv.org/abs/quant-ph/0601030"
+ },
+ {
+ "id": "Galitski",
+ "type": "preprint",
+ "title": "Quantum-to-Classical Correspondence and Hubbard-Stratonovich Dynamical Systems, a Lie-Algebraic Approach",
+ "authors": "Victor Galitski",
+ "year": "2010",
+ "publisher": "",
+ "journal": "",
+ "doi": "10.48550/arXiv.1012.2873",
+ "url": "https://arxiv.org/abs/1012.2873"
+ },
+ {
+ "id": "Cerezo",
+ "type": "preprint",
+ "title": "Does provable absence of barren plateaus imply classical simulability? Or, why we need to rethink variational quantum computing",
+ "authors": "M. Cerezo, Martin Larocca, Diego García-Martín, N. L. Diaz, Paolo Braccia, Enrico Fontana, Manuel S. Rudolph, Pablo Bermejo, Aroosa Ijaz, Supanut Thanasilp, Eric R. Anschuetz, Zoë Holmes",
+ "year": "2023",
+ "publisher": "",
+ "journal": "",
+ "doi": "10.48550/arXiv.2312.09121",
+ "url": "https://arxiv.org/abs/2312.09121"
+ },
+ {
+ "id": "Mazzola",
+ "type": "preprint",
+ "title": "Quantum computing for chemistry and physics applications from a Monte Carlo perspective",
+ "authors": "Guglielmo Mazzola",
+ "year": "2023",
+ "publisher": "",
+ "journal": "",
+ "doi": "10.48550/arXiv.2308.07964",
+ "url": "https://arxiv.org/abs/2308.07964"
+ },
+ {
+ "id": "Park",
+ "type": "preprint",
+ "title": "Hardware-efficient ansatz without barren plateaus in any depth",
+ "authors": "Chae-Yeun Park, Minhyeok Kang, Joonsuk Huh",
+ "year": "2024",
+ "publisher": "",
+ "journal": "",
+ "doi": "10.48550/arXiv.2403.04844",
+ "url": "https://arxiv.org/abs/2403.04844"
+ }
+ ],
+ "basedOnPapers": ["10.48550/arXiv.2308.01432"],
+ "referencedByPapers": [],
+ "relatedContent": [
+ {
+ "type": "demonstration",
+ "id": "tutorial_liealgebra",
+ "weight": 1.0
+ },
+ {
+ "type": "demonstration",
+ "id": "tutorial_barren_plateaus",
+ "weight": 1.0
+ },
+ {
+ "type": "demonstration",
+ "id": "tutorial_How_to_optimize_QML_model_using_JAX_and_Optax",
+ "weight": 1.0
+ }
+ ]
+}