Stochastic local operations and classical communication invariant and the residual entanglement for $n$ qubits

Dafa Li, Xiangrong Li, Hongtao Huang, and Xinxin Li

Phys. Rev. A 76, 032304 – Published 5 September 2007

Abstract

We find an invariant for $n$ qubits and propose residual entanglement for $n$ qubits by means of the invariant. Thus, we establish a relation between stochastic local operations and classical communication (SLOCC) entanglement and residual entanglement. Invariant and residual entanglement can be used for SLOCC entanglement classification of $n$ qubits.

Received 16 May 2007

DOI:https://doi.org/10.1103/PhysRevA.76.032304

Authors & Affiliations

Dafa Li^*

Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

Xiangrong Li

Department of Mathematics, University of California, Irvine, California 92697-3875, USA

Hongtao Huang

Electrical Engineering and Computer Science Department, University of Michigan, Ann Arbor, Michigan 48109, USA

Xinxin Li

Department of Computer Science, Wayne State University, Detroit, Michigan 48202, USA

^*dli@math.tsinghua.edu.cn

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Reply to “Comment on ‘Stochastic local operations and classical communication invariant and the residual entanglement for $n$ qubits’ ”

Dafa Li, Xiangrong Li, Hongtao Huang, and Xinxin Li

Phys. Rev. A 77, 056302 (2008)

Comment on “Stochastic local operations and classical communication invariant and the residual entanglement for $n$ qubits”

Xin-Wei Zha, Hai-Yang Song, and Ming-Liang Hu

Phys. Rev. A 77, 056301 (2008)

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Vol. 76, Iss. 3 — September 2007

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Physical Review A

covering atomic, molecular, and optical physics and quantum information

Stochastic local operations and classical communication invariant and the residual entanglement for $n$ qubits

Dafa Li, Xiangrong Li, Hongtao Huang, and Xinxin Li

Phys. Rev. A 76, 032304 – Published 5 September 2007

Abstract

Authors & Affiliations

Comments & Replies

Reply to “Comment on ‘Stochastic local operations and classical communication invariant and the residual entanglement for $n$ qubits’ ”

Dafa Li, Xiangrong Li, Hongtao Huang, and Xinxin Li

Phys. Rev. A 77, 056302 (2008)

Comment on “Stochastic local operations and classical communication invariant and the residual entanglement for $n$ qubits”

Xin-Wei Zha, Hai-Yang Song, and Ming-Liang Hu

Phys. Rev. A 77, 056301 (2008)

Article Text (Subscription Required)

References (Subscription Required)

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Physical Review A

covering atomic, molecular, and optical physics and quantum information

Stochastic local operations and classical communication invariant and the residual entanglement for n qubits

Dafa Li, Xiangrong Li, Hongtao Huang, and Xinxin Li

Phys. Rev. A 76, 032304 – Published 5 September 2007

Abstract

Authors & Affiliations

Comments & Replies

Reply to “Comment on ‘Stochastic local operations and classical communication invariant and the residual entanglement for n qubits’ ”

Dafa Li, Xiangrong Li, Hongtao Huang, and Xinxin Li

Phys. Rev. A 77, 056302 (2008)

Comment on “Stochastic local operations and classical communication invariant and the residual entanglement for n qubits”

Xin-Wei Zha, Hai-Yang Song, and Ming-Liang Hu

Phys. Rev. A 77, 056301 (2008)

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Stochastic local operations and classical communication invariant and the residual entanglement for $n$ qubits

Reply to “Comment on ‘Stochastic local operations and classical communication invariant and the residual entanglement for $n$ qubits’ ”

Comment on “Stochastic local operations and classical communication invariant and the residual entanglement for $n$ qubits”