Qutrit entanglement

被引:82
作者
Caves, CM [1 ]
Milburn, GJ
机构
[1] Univ New Mexico, Dept Phys & Astron, Ctr Adv Studies, Albuquerque, NM 87131 USA
[2] Univ Queensland, Dept Phys, Ctr Laser Sci, St Lucia, Qld 4072, Australia
关键词
D O I
10.1016/S0030-4018(99)00693-8
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We consider the separability of various joint states for N qutrits. We derive two results: (i) the separability condition for a two-qutrit state that is a mixture of the maximally mixed state and a maximally entangled state (such a state is a generalization of the Werner state for two qubits); (ii) upper and lower bounds on the size of the neighborhood of separable states surrounding the maximally mixed state for N qutrits. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:439 / 446
页数:8
相关论文
共 15 条
[1]   Optimal generalized quantum measurements for arbitrary spin systems -: art. no. 022113 [J].
Acín, A ;
Latorre, JI ;
Pascual, P .
PHYSICAL REVIEW A, 2000, 61 (02) :7
[2]   A generalized Pancharatnam geometric phase formula for three-level quantum systems [J].
Arvind ;
Mallesh, KS ;
Mukunda, N .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (07) :2417-2431
[3]   Purification of noisy entanglement and faithful teleportation via noisy channels [J].
Bennett, CH ;
Brassard, G ;
Popescu, S ;
Schumacher, B ;
Smolin, JA ;
Wootters, WK .
PHYSICAL REVIEW LETTERS, 1996, 76 (05) :722-725
[4]   Separability of very noisy mixed states and implications for NMR Quantum computing [J].
Braunstein, SL ;
Caves, CM ;
Jozsa, R ;
Linden, N ;
Popescu, S ;
Schack, R .
PHYSICAL REVIEW LETTERS, 1999, 83 (05) :1054-1057
[5]   Differential geometry on SU(3) with applications to three state systems [J].
Byrd, M .
JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (11) :6125-6136
[6]  
Gibbons G. W., 1992, Journal of Geometry and Physics, V8, P147, DOI 10.1016/0393-0440(92)90046-4
[7]   Separability of mixed states: Necessary and sufficient conditions [J].
Horodecki, M ;
Horodecki, P ;
Horodecki, R .
PHYSICS LETTERS A, 1996, 223 (1-2) :1-8
[8]   Separability criterion and inseparable mixed states with positive partial transposition [J].
Horodecki, P .
PHYSICS LETTERS A, 1997, 232 (05) :333-339
[9]   Geometric phases for SU(3) representations and three level quantum systems [J].
Khanna, G ;
Mukhopadhyay, S ;
Simon, R ;
Mukunda, N .
ANNALS OF PHYSICS, 1997, 253 (01) :55-82
[10]  
LEWENSTEIN M, QUANTPH9903012