Geometry of Quantum States: An Introduction to Quantum EntanglementCambridge University Press, 18 sie 2017 - 619 Quantum information theory is a branch of science at the frontier of physics, mathematics, and information science, and offers a variety of solutions that are impossible using classical theory. This book provides a detailed introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. The second edition contains new sections and entirely new chapters: the hot topic of multipartite entanglement; in-depth discussion of the discrete structures in finite dimensional Hilbert space, including unitary operator bases, mutually unbiased bases, symmetric informationally complete generalized measurements, discrete Wigner function, and unitary designs; the Gleason and Kochen-Specker theorems; the proof of the Lieb conjecture; the measure concentration phenomenon; and the Hastings' non-additivity theorem. This richly-illustrated book will be useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied. |
Spis treści
Convexity colours and statistics | 1 |
Geometry of probability distributions | 29 |
Much ado about spheres | 63 |
Complex projective spaces | 103 |
Outline of quantum mechanics | 138 |
Coherent states and group actions | 165 |
The stellar representation | 191 |
The space of density matrices | 219 |
maps versus states | 296 |
Discrete structures in Hilbert space | 313 |
Density matrices and entropies | 355 |
Distinguishability measures | 386 |
Monotone metrics and measures | 402 |
Quantum entanglement | 433 |
Multipartite entanglement | 493 |
Epilogue | 544 |
Inne wydania - Wyświetl wszystko
Geometry of Quantum States: An Introduction to Quantum Entanglement Ingemar Bengtsson,Karol Życzkowski Ograniczony podgląd - 2017 |
Geometry of Quantum States: An Introduction to Quantum Entanglement Ingemar Bengtsson,Karol Życzkowski Podgląd niedostępny - 2020 |
Geometry of Quantum States: An Introduction to Quantum Entanglement Ingemar Bengtsson,Karol Zyczkowski Podgląd niedostępny - 2006 |
Kluczowe wyrazy i wyrażenia
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