Quantum Entanglement in High Dimensions

被引：0

作者：

Aubrun, Guillaume ^{[1
]}

机构：

[1] Univ Claude Bernard Lyon 1, Inst Camille Jordan, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France

来源：

QUANTUM SYMMETRIES | 2017年 / 2189卷

关键词：

STATES; SEPARABILITY; CONJECTURE; SUBSPACE; PROOF;

D O I：

10.1007/978-3-319-63206-3_4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

These lecture notes study some mathematical aspects of the phenomenon of entanglement from quantum mechanics. While the questions we consider are motivated by quantum information theory, where entanglement plays a fundamental role, our exposition targets mostly mathematicians who are not assumed to be familiar with quantum information theory. © 2017, Springer International Publishing AG.

引用

页码：83 / 114

页数：32

共 46 条

[1] Unique decompositions, faces, and automorphisms of separable states
Alfsen, Erik
Shultz, Fred
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (05)
[2] [Anonymous], ARXIV13051567
[3] Aubrun G., 2017, MATH SURVERYS MONOGR, V223
[4] Entanglement Thresholds for Random Induced States
Aubrun, Guillaume
Szarek, Stanislaw J.
Ye, Deping
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2014, 67 (01) : 129 - 171
[5] PARTIAL TRANSPOSITION OF RANDOM STATES AND NON-CENTERED SEMICIRCULAR DISTRIBUTIONS
Aubrun, Guillaume
[J]. RANDOM MATRICES-THEORY AND APPLICATIONS, 2012, 1 (02)
[6] Hastings's Additivity Counterexample via Dvoretzky's Theorem
Aubrun, Guillaume
Szarek, Stanisaw
Werner, Elisabeth
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2011, 305 (01) : 85 - 97
[7] Eigenvectors and eigenvalues in a random subspace of a tensor product
Belinschi, Serban
Collins, Benoit
Nechita, Ion
[J]. INVENTIONES MATHEMATICAE, 2012, 190 (03) : 647 - 697
[8] Concentrating partial entanglement by local operations
Bennett, CH
Bernstein, HJ
Popescu, S
Schumacher, B
[J]. PHYSICAL REVIEW A, 1996, 53 (04): : 2046 - 2052
[9] NEW VOLUME RATIO PROPERTIES FOR CONVEX SYMMETRICAL BODIES IN RN
BOURGAIN, J
MILMAN, VD
[J]. INVENTIONES MATHEMATICAE, 1987, 88 (02) : 319 - 340
[10] Are Random Pure States Useful for Quantum Computation?
Bremner, Michael J.
Mora, Caterina
Winter, Andreas
[J]. PHYSICAL REVIEW LETTERS, 2009, 102 (19)

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