Only n-qubit Greenberger-Horne-Zeilinger states are undetermined by their reduced density matrices

被引：31

作者：

Walck, Scott N. ^{[1
]}

Lyons, David W. ^{[1
]}

机构：

[1] Lebanon Valley Coll, Annville, PA 17003 USA

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 100卷 / 05期

基金：

美国国家科学基金会;

关键词：

Atomic physics - Carrier concentration - Quantum theory;

D O I：

10.1103/PhysRevLett.100.050501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The generalized n-qubit Greenberger-Horne-Zeilinger (GHZ) states and their local unitary equivalents are the only states of n qubits that are not uniquely determined among pure states by their reduced density matrices of n-1 qubits. Thus, among pure states, the generalized GHZ states are the only ones containing information at the n-party level. We point out a connection between local unitary stabilizer subgroups and the property of being determined by reduced density matrices.

引用

收藏

页数：4

相关论文

共 9 条

[1] Observation of three-photon Greenberger-Horne-Zeilinger entanglement [J].

Bouwmeester, D ;

Pan, JW ;

Daniell, M ;

Weinfurter, H ;

Zeilinger, A .

PHYSICAL REVIEW LETTERS, 1999, 82 (07) :1345-1349

[2] Compatibility conditions from multipartite entanglement measures [J].

Cai, Jian-Ming ;

Zhou, Zheng-Wei ;

Zhang, Shun ;

Guo, Guang-Can .

PHYSICAL REVIEW A, 2007, 75 (05)

[3] Three-party pure quantum states are determined by two two-party reduced states -: art. no. 010302 [J].

Diósi, L .

PHYSICAL REVIEW A, 2004, 70 (01) :010302-1

[4] Three qubits can be entangled in two inequivalent ways [J].

Dur, W. ;

Vidal, G. ;

Cirac, J.I. .

Physical Review A - Atomic, Molecular, and Optical Physics, 2000, 62 (06) :062314-062311

[5] Compatible conditions, entanglement, and invariants [J].

Han, YJ ;

Zhang, YS ;

Guo, GC .

PHYSICAL REVIEW A, 2004, 70 (04) :042309-1

[6] The parts determine the whole in a generic pure quantum state [J].

Linden, N ;

Wootters, WK .

PHYSICAL REVIEW LETTERS, 2002, 89 (27) :277906-277906

[7] Almost every pure state of three qubits is completely determined by its two-particle reduced density matrices [J].

Linden, N ;

Popescu, S ;

Wootters, WK .

PHYSICAL REVIEW LETTERS, 2002, 89 (20) :207901-207901

[8]

LYONS DW, IN PRESS PHYS REV A

[9] Maximum stabilizer dimension for nonproduct states [J].

Walck, Scott N. ;

Lyons, David W. .

PHYSICAL REVIEW A, 2007, 76 (02)