Tensor Network Techniques for Quantum Computation
This book serves as an introductory yet thorough guide to tensor networks and their applications in quantum computation and quantum information, designed for advanced undergraduate and graduate-level readers. In Part I, foundational topics are covered, including tensor structures and network represe...
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| المؤلفون الرئيسيون: | , , , |
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| التنسيق: | Online |
| اللغة: | الإنجليزية |
| منشور في: |
2025
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| الموضوعات: | |
| الوصول للمادة أونلاين: | ONIX_20241219_9788898587049_18 |
| الوسوم: |
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| _version_ | 1869526674238865408 |
|---|---|
| author | Collura, Mario Lami, Guglielmo Ranabhat, Nishan Santini, Alessandro |
| author_browse | Collura, Mario Lami, Guglielmo Ranabhat, Nishan Santini, Alessandro |
| author_facet | Collura, Mario Lami, Guglielmo Ranabhat, Nishan Santini, Alessandro |
| author_sort | Collura, Mario |
| collection | Directory of Open Access Books |
| description | This book serves as an introductory yet thorough guide to tensor networks and their applications in quantum computation and quantum information, designed for advanced undergraduate and graduate-level readers. In Part I, foundational topics are covered, including tensor structures and network representations like Matrix Product States (MPS) and Tree Tensor Networks (TTN). These preliminaries provide readers with the core mathematical tools and concepts necessary for quantum physics and quantum computing applications, bridging the gap between multi-linear algebra and complex quantum systems. Part II explores practical applications of tensor networks in simulating quantum dynamics, with a particular focus on the efficiency they offer for systems of high computational complexity. Key topics include Hamiltonian dynamics, quantum annealing, open system dynamics, and optimization strategies using TN frameworks. A final chapter addresses the emerging role of “quantum magic” in tensor networks. It delves into non-stabilizer states and their contribution to quantum computational power beyond classical simulability, featuring methods such as stabilizer-enhanced MPS and the Clifford-dressed TDVP. In presenting tensor networks as tools for understanding quantum complexity, this book aims to foster a deeper collaboration between the many-body physics and quantum computing communities, inviting a broader audience to engage with these recent developments. |
| format | Online |
| id | doab-20.500.12854ir-150297 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1502972025-07-21T15:44:04Z Tensor Network Techniques for Quantum Computation Collura, Mario Lami, Guglielmo Ranabhat, Nishan Santini, Alessandro Tensor Networks Matrix Product States (MPS) Matrix Product Operators (MPO) Quantum Computing Hamiltonian Dynamics Time-Dependent Variational Principle (TDVP) Entanglement Quantum Circuits Quantum Annealing Open Quantum Systems Stabilizer Formalism Clifford Group and Clifford-Dressed TDVP Nonstabilizerness and Quantum Resource Theory thema EDItEUR::P Mathematics and Science::PH Physics::PHQ Quantum physics (quantum mechanics and quantum field theory) thema EDItEUR::P Mathematics and Science::PH Physics::PHQ Quantum physics (quantum mechanics and quantum field theory) This book serves as an introductory yet thorough guide to tensor networks and their applications in quantum computation and quantum information, designed for advanced undergraduate and graduate-level readers. In Part I, foundational topics are covered, including tensor structures and network representations like Matrix Product States (MPS) and Tree Tensor Networks (TTN). These preliminaries provide readers with the core mathematical tools and concepts necessary for quantum physics and quantum computing applications, bridging the gap between multi-linear algebra and complex quantum systems. Part II explores practical applications of tensor networks in simulating quantum dynamics, with a particular focus on the efficiency they offer for systems of high computational complexity. Key topics include Hamiltonian dynamics, quantum annealing, open system dynamics, and optimization strategies using TN frameworks. A final chapter addresses the emerging role of “quantum magic” in tensor networks. It delves into non-stabilizer states and their contribution to quantum computational power beyond classical simulability, featuring methods such as stabilizer-enhanced MPS and the Clifford-dressed TDVP. In presenting tensor networks as tools for understanding quantum complexity, this book aims to foster a deeper collaboration between the many-body physics and quantum computing communities, inviting a broader audience to engage with these recent developments. 2025-01-22T21:12:20Z 2025-01-22T21:12:20Z 2024-12-19T11:03:53Z 2024 book ONIX_20241219_9788898587049_18 https://library.oapen.org/handle/20.500.12657/96026 9788898587049 https://directory.doabooks.org/handle/20.500.12854/150297 eng open access image/jpeg Attribution 4.0 International https://library.oapen.org/bitstream/20.500.12657/96026/4/9788898587049.pdf 10.22323/9788898587049 10.22323/9788898587049 SCOAP3 c2fbf30c-ef0f-473b-8ee4-03e135ae04d0 9788898587049 SCOAP3 for Books [...] open access |
| spellingShingle | Tensor Networks Matrix Product States (MPS) Matrix Product Operators (MPO) Quantum Computing Hamiltonian Dynamics Time-Dependent Variational Principle (TDVP) Entanglement Quantum Circuits Quantum Annealing Open Quantum Systems Stabilizer Formalism Clifford Group and Clifford-Dressed TDVP Nonstabilizerness and Quantum Resource Theory thema EDItEUR::P Mathematics and Science::PH Physics::PHQ Quantum physics (quantum mechanics and quantum field theory) thema EDItEUR::P Mathematics and Science::PH Physics::PHQ Quantum physics (quantum mechanics and quantum field theory) Collura, Mario Lami, Guglielmo Ranabhat, Nishan Santini, Alessandro Tensor Network Techniques for Quantum Computation |
| title | Tensor Network Techniques for Quantum Computation |
| title_full | Tensor Network Techniques for Quantum Computation |
| title_fullStr | Tensor Network Techniques for Quantum Computation |
| title_full_unstemmed | Tensor Network Techniques for Quantum Computation |
| title_short | Tensor Network Techniques for Quantum Computation |
| title_sort | tensor network techniques for quantum computation |
| topic | Tensor Networks Matrix Product States (MPS) Matrix Product Operators (MPO) Quantum Computing Hamiltonian Dynamics Time-Dependent Variational Principle (TDVP) Entanglement Quantum Circuits Quantum Annealing Open Quantum Systems Stabilizer Formalism Clifford Group and Clifford-Dressed TDVP Nonstabilizerness and Quantum Resource Theory thema EDItEUR::P Mathematics and Science::PH Physics::PHQ Quantum physics (quantum mechanics and quantum field theory) thema EDItEUR::P Mathematics and Science::PH Physics::PHQ Quantum physics (quantum mechanics and quantum field theory) |
| topic_facet | Tensor Networks Matrix Product States (MPS) Matrix Product Operators (MPO) Quantum Computing Hamiltonian Dynamics Time-Dependent Variational Principle (TDVP) Entanglement Quantum Circuits Quantum Annealing Open Quantum Systems Stabilizer Formalism Clifford Group and Clifford-Dressed TDVP Nonstabilizerness and Quantum Resource Theory thema EDItEUR::P Mathematics and Science::PH Physics::PHQ Quantum physics (quantum mechanics and quantum field theory) thema EDItEUR::P Mathematics and Science::PH Physics::PHQ Quantum physics (quantum mechanics and quantum field theory) |
| url | ONIX_20241219_9788898587049_18 |
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