國立虎尾科技大學 |

Geometry of quantum states : = an introduction to quantum entanglement /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Geometry of quantum states :/ Ingemar Bengtsson and Karol Życzkowski.
其他題名:	an introduction to quantum entanglement /
作者:	Bengtsson, Ingemar,
其他作者:	Życzkowski, Karol,
面頁冊數:	1 online resource (xii, 466 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Quantum theory. -
電子資源:	https://doi.org/10.1017/CBO9780511535048
ISBN:	9780511535048 (ebook)

Geometry of quantum states : = an introduction to quantum entanglement /
Bengtsson, Ingemar,

Geometry of quantum states :an introduction to quantum entanglement /Ingemar Bengtsson and Karol Życzkowski. - 1 online resource (xii, 466 pages) :digital, PDF file(s).

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

1. Convexity, colours and statistics -- 2. Geometry of probability distributions -- 3. Much ado about spheres -- 4. Complex projective spaces -- 5. Outline of quantum mechanics -- 6. Coherent states and group actions -- 7. The stellar representation -- 8. The space of density matrices -- 9. Purification of mixed quantum states -- 10. Quantum operations -- 11. Duality: maps versus states -- 12. Density matrices and entropies -- 13. Distinguishability measures -- 14. Monotone metrics and measures -- 15. Quantum entanglement.

Quantum information theory is at the frontiers of physics, mathematics and information science, offering a variety of solutions that are impossible using classical theory. This book provides an introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. After a gentle introduction to the necessary mathematics the authors describe the geometry of quantum state spaces. Focusing on finite dimensional Hilbert spaces, they discuss the statistical distance measures and entropies used in quantum theory. The final part of the book is devoted to quantum entanglement - a non-intuitive phenomenon discovered by Schrödinger, which has become a key resource for quantum computation. This richly-illustrated book is useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.

ISBN: 9780511535048 (ebook)Subjects--Topical Terms:

568041
Quantum theory.

LC Class. No.: QC174.12 / .B453 2006

Dewey Class. No.: 530.12

Geometry of quantum states : = an introduction to quantum entanglement /
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505 0 $a 1. Convexity, colours and statistics -- 2. Geometry of probability distributions -- 3. Much ado about spheres -- 4. Complex projective spaces -- 5. Outline of quantum mechanics -- 6. Coherent states and group actions -- 7. The stellar representation -- 8. The space of density matrices -- 9. Purification of mixed quantum states -- 10. Quantum operations -- 11. Duality: maps versus states -- 12. Density matrices and entropies -- 13. Distinguishability measures -- 14. Monotone metrics and measures -- 15. Quantum entanglement.
520 $a Quantum information theory is at the frontiers of physics, mathematics and information science, offering a variety of solutions that are impossible using classical theory. This book provides an introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. After a gentle introduction to the necessary mathematics the authors describe the geometry of quantum state spaces. Focusing on finite dimensional Hilbert spaces, they discuss the statistical distance measures and entropies used in quantum theory. The final part of the book is devoted to quantum entanglement - a non-intuitive phenomenon discovered by Schrödinger, which has become a key resource for quantum computation. This richly-illustrated book is useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.
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