{"product_id":"geometry-of-quantum-states-an-introduction-to-quantum-entanglement-paperback-9781107656147","title":"Geometry of Quantum States; An Introduction to Quantum Entanglement (Paperback \/ softback) 9781107656147","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eGeometry of Quantum States\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eAn Introduction to Quantum Entanglement\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis new edition describes the space of quantum states and the theory of quantum entanglement from a geometric perspective.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eIngemar Bengtsson (Author), Karol ?yczkowski (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107656147, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 26 March 2020\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e635 pages, 139 b\/w illus.  22 tables\u003cbr\u003e24.5 x 17 x 3.2 cm, 1.05 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003ePraise for the first edition: 'Bengtsson's and Zyczkowski's book is an artful presentation of the geometry that lies behind quantum theory … the authors collect, and artfully explain, many important results scattered throughout the literature on mathematical physics. The careful explication of statistical distinguishability metrics (Fubini-Study and Bures) is the best I have read.' Gerard Milburn, University of Queensland\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eQuantum 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Convexity, colours, and statistics\u003cbr\u003e 2. Geometry of probability distributions\u003cbr\u003e 3. Much ado about spheres\u003cbr\u003e 4. Complex projective spaces\u003cbr\u003e 5. Outline of quantum mechanics\u003cbr\u003e 6. Coherent states and group actions\u003cbr\u003e 7. The stellar representation\u003cbr\u003e 8. The space of density matrices\u003cbr\u003e 9. Purification of mixed quantum states\u003cbr\u003e 10. Quantum operations\u003cbr\u003e 11. Duality: maps versus states\u003cbr\u003e 12. Discrete structures in Hilbert space\u003cbr\u003e 13. Density matrices and entropies\u003cbr\u003e 14. Distinguishability measures\u003cbr\u003e 15. Monotone metrics and measures\u003cbr\u003e 16. Quantum entanglement\u003cbr\u003e 17. Multipartite entanglement\u003cbr\u003e Appendix 1. Basic notions of differential geometry\u003cbr\u003e Appendix 2. Basic notions of group theory\u003cbr\u003e Appendix 3. Geometry – do it yourself\u003cbr\u003e Appendix 4. Hints and answers to the exercises\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical physics [\u003ca title=\"See our other books on Mathematical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20physics%20%5BPHU%5D%22\"\u003ePHU\u003c\/a\u003e], Quantum physics [\u003ca title=\"See our other books on Quantum physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Quantum%20physics%20%5Bquantum%20mechanics%20\u0026amp;%20quantum%20field%20theory%5D%20%5BPHQ%5D%22\"\u003equantum mechanics \u0026amp; quantum field theory PHQ\u003c\/a\u003e], Physics [\u003ca title=\"See our other books on Physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Physics%20%5BPH%5D%22\"\u003ePH\u003c\/a\u003e], Topology [\u003ca title=\"See our other books on Topology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Topology%20%5BPBP%5D%22\"\u003ePBP\u003c\/a\u003e], Geometry [\u003ca title=\"See our other books on Geometry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Geometry%20%5BPBM%5D%22\"\u003ePBM\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46001647943960,"sku":"9781107656147","price":47.19,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107656147i_a4eb362e-1811-46e6-a8c8-1add8fb8e218.jpg?v=1694504780","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/geometry-of-quantum-states-an-introduction-to-quantum-entanglement-paperback-9781107656147","provider":"Freshly Printed Books","version":"1.0","type":"link"}