Frontiers in quantum information research [[electronic resource] ] : decoherence, entanglement, entropy, MPS and DMRG / / editors, Miklo Nakahara, Shu Tanaka

• Pubblicazione: Melville N.Y., : American Institute of Physics, 2012
• Descrizione fisica: 1 online resource (359 p.)
• Disciplina: 004.1
• Soggetto topico: Quantum electronics; Information display systems
• Soggetto genere / forma: Electronic books.
• Altri autori: NakaharaMiklo TanakaShu
• Note generali: "Contains lecture notes and contributions presented at the Summer School on Decoherence, Entanglement and Entropy held from 8-11 August, 2009 and Workshop on Matrix Product State Formulation and Density Matrix Renormalization Group Simulations, held from 12 to 13, August, 2009, both held at the Oxford Kobe Institute, Kobe Japan."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Summer School on Decoherence, Entanglement and Entropy Oxford Kobe Institute (Kobe, Japan); Preface; Workshop on Matrix Product State Formulation and Density Matrix Renormalization Group Simulations (MPS&DMRG) Oxford Kobe Institute (Kobe, Japan); List of Participants; Committees; CONTENTS; Part A Summer School on Decoherence, Entanglement and Entropy; Black Holes and Qubits L. Borsten, M. J. Du., and W. Rubens; Overview; 1. Qubits and entanglement; 1.1. A brief introduction to quantum information; 1.1.1. Qubits; 1.2. Entanglement and the Bell inequality ; 1.2.1. Entanglement dependent quantum information1.3. Entanglement classification; 1.3.1. Bell inequalities without the inequality; 1.3.2. The SLOCC paradigm; 1.3.3. Entanglement measures; 1.3.4. Stochastic LOCC equivalence; 1.4. Bipartite entanglement; 1.4.1. Generic finite-dimensional bipartite systems; 1.4.2. Two qubits; 1.5. Three qubit entanglement; 1.5.1. Local unitary invariants; 1.5.2. Cayley's hyperdeterminant; 1.5.3. Entanglement classification; 2. Black holes in M-theory; 2.1. The road to M-theory; 2.2. Black holes; 2.2.1. Extremal black holes; 2.3. Black hole thermodynamics ; 2.4. Black holes in supergravity2.5. The STU model; 2.5.1. The Lagrangian; 2.5.2. The Bogomol'nyi spectrum; 2.5.3. Black hole entropy; 3. STU black holes and three qubits; 3.1. Entropy/entanglement correspondence; 3.2. Rebits; 3.3. Classification of N = 2 black holes and three-qubit states; 3.4. Further developments; 3.4.1. Microscopic interpretation; 3.4.2. 4-qubit entanglement and the STU model in D = 3; 4. Beyond the STU model; 4.1. N = 8 supergravity and black holes; 5. E7 and the tripartite entanglement of seven qubits; 6. Fano plane entanglement and the octonions ; 6.1. Composition algebras6.2. The octonionic tripartite entanglement of seven qubits; 6.3. Subsectors; 7. Cubic Jordan algebras and the Freudenthal triple system; 7.1. Cubic Jordan algebras; 7.2. The Freudenthal triple system; 8. The 3-qubit Freudenthal triple system; 8.1. The FTS rank entanglement classes; 8.1.1. Rank 1 and the class of separable states; 8.1.2. Rank 2 and the class of biseparable states; 8.1.3. Rank 3 and the class of W-states; 8.1.4. Rank 4 and the class of GHZ-states; 8.2. SLOCC orbits; 9. Supersymmetric quantum information; 10. Supergroups; 10.1. Grassmann numbers ; 10.2. Super linear algebra10.3. Orthosymplectic superalgebras; 11. Super Hilbert space and uOSp(1 2); 11.0.1. Physical states; 11.1. The superqubit; 12. Super entanglement; 12.1. Two superqubits; 12.2. Three superqubits; Acknowledgments; References; Weak Value with Decoherence A. Hosoya; 1. Introduction; 2. Weak Value; 3. Weak Measurement with Decoherence; 3.1. Weak Measurement-Review; 3.2. Weak Measurement and Environment; 4. Geometric Phase; 5. Summary; Bibliography; Lectures on Matrix Product Representation of States V. Karimipour and M. Asoudeh; 1. Introduction ; Part I: Matrix Product States in Quantum Spin Chains
• Sommario/riassunto: This book is a collection of lecture notes/contributions from a summer school on decoherence, entanglement & entropy and a workshop on MPS (matrix product states) & DMRG (density matrix renormalization group). Subjects of the summer school include introduction to MPS, black holes, qubits and octonions, weak measurement, entanglement measures and separability, generalized Bell inequalities, among others. Subjects of the workshop are dedicated to MPS and DMRG. Applications to strongly correlated systems and integrable systems are also mentioned. Contributions to this book are prepared in a self-
• Titolo autorizzato: Frontiers in quantum information research
• ISBN: 1-283-59378-5; 9786613906236; 981-4407-19-4
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910465490403321
• Lo trovi qui: Univ. Federico II
• Serie: KINKI UNIVERSITY SERIES ON QUANTUM COMPUTING