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## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
Ingemar Bengtsson; Karol Życzkowski |

ISBN: | 9781107026254 1107026253 |

OCLC Number: | 967938939 |

Description: | xv, 619 pages : illustrations ; 26 cm |

Contents: | Convexity, colours and statistics -- Geometry of probability distributions -- Much ado about spheres -- Complex projective spaces -- Outline of quantum mechanics -- Coherent states and group actions -- The stellar representation -- The space of density matrices -- Purification of mixed quantum states -- Quantum operations -- Duality : maps versus states -- Discrete structures in hilbert space -- Density matrices and entropies -- Distinguishability measures -- Monotone metrics and measures -- Quantum entanglement -- Multipartite entanglement. |

Other Titles: | Quantum entanglement |

Responsibility: | Ingemar Bengtsson, Karol Życzkowski. |

## Reviews

*Editorial reviews*

Publisher Synopsis

'True story: A few years ago my daughter took a break from her usual question, 'Dad, what is your favourite colour?' and asked instead, 'What is your favourite shape?' I was floored! 'What a wonderful question; my favourite shape is Hilbert space!' 'What does it look like?' she asked. My answer: 'I don't know! But every day when I go to work, that's what I think about.' What I was speaking of, of course, is the geometry of quantum-state space. It is as much a mystery today as it was those years ago, and maybe more so as we learn to focus on its most key and mysterious features. This book, the worn first-edition of which I've had on my shelf for 11 years, is the indispensable companion for anyone's journey into that exotic terrain. Beyond all else, I am thrilled about the inclusion of two new chapters in the new edition, one of which I believe goes to the very heart of the meaning of quantum theory.' Christopher A. Fuchs, University of Massachusetts, Boston 'The quantum world is full of surprises as is the mathematical theory that describes it. Bengtsson and Zyczkowski prove to be expert guides to the deep mathematical structure that underpins quantum information science. Key concepts such as multipartite entanglement and quantum contextuality are discussed with extraordinary clarity. A particular feature of this new edition is the treatment of SIC generalised measurements and the curious bridge they make between quantum physics and number theory.' Gerard J. Milburn, University of Queensland Praise for the first edition: 'Geometry of Quantum States can be considered an indispensable item on a bookshelf of everyone interest in quantum information theory and its mathematical background.' Milosz Michalski, editor of Open Systems and Information Dynamics Praise 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 Advance praise: `True story: A few years ago my daughter took a break from her usual question, `Dad, what is your favourite colour?' and asked instead, `What is your favourite shape?' I was floored! `What a wonderful question; my favourite shape is Hilbert space!' `What does it look like?' she asked. My answer: `I don't know! But every day when I go to work, that's what I think about.' What I was speaking of, of course, is the geometry of quantum-state space. It is as much a mystery today as it was those years ago, and maybe more so as we learn to focus on its most key and mysterious features. This book, the worn first-edition of which I've had on my shelf for 11 years, is the indispensable companion for anyone's journey into that exotic terrain. Beyond all else, I am thrilled about the inclusion of two new chapters in the new edition, one of which I believe goes to the very heart of the meaning of quantum theory.' Christopher A. Fuchs, University of Massachusetts, Boston Advance praise: `The quantum world is full of surprises as is the mathematical theory that describes it. Bengtsson and Zyczkowski prove to be expert guides to the deep mathematical structure that underpins quantum information science. Key concepts such as multipartite entanglement and quantum contextuality are discussed with extraordinary clarity. A particular feature of this new edition is the treatment of SIC generalised measurements and the curious bridge they make between quantum physics and number theory.' Gerard J. Milburn, University of Queensland Praise for the first edition: 'Geometry of Quantum States can be considered an indispensable item on a bookshelf of everyone interest in quantum information theory and its mathematical background.' Milosz Michalski, editor of Open Systems and Information Dynamics Praise 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 Read more...

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