A new class of states of reversible entanglement manipulation under positive partial transpose operations

doi:10.1088/1674-1056/27/11/110305

中国物理B ›› 2018, Vol. 27 ›› Issue (11): 110305-110305.doi: 10.1088/1674-1056/27/11/110305

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

A new class of states of reversible entanglement manipulation under positive partial transpose operations

Jing Duan(段静), Yu Luo(罗宇), Yong-Ming Li(李永明)

1 College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710119, China;
2 College of Computer Science, Shaanxi Normal University, Xi'an 710119, China

收稿日期:2018-05-30 修回日期:2018-09-05 出版日期:2018-11-05 发布日期:2018-11-05
通讯作者: Yong-Ming Li E-mail:liyongm@snnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11671244).

A new class of states of reversible entanglement manipulation under positive partial transpose operations

Jing Duan(段静)¹, Yu Luo(罗宇)², Yong-Ming Li(李永明)^1,2

1 College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710119, China;
2 College of Computer Science, Shaanxi Normal University, Xi'an 710119, China

Received:2018-05-30 Revised:2018-09-05 Online:2018-11-05 Published:2018-11-05
Contact: Yong-Ming Li E-mail:liyongm@snnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11671244).

摘要/Abstract

摘要：

We first study the reversibility for a class of states under the operations which completely preserve the positivity of partial transpose (PPT) and show that the entanglement cost is equal to the distillable entanglement for a rank-two mixed state on the 4⊗4 antisymmetric subspace under PPT operations. By using a similar method in finding the irreversibility, we also find that the value of a new efficiently computable additive lower bound E_η(ρ) for the asymptotic PPT-relative entropy of entanglement presented in[Phys. Rev. Lett. 119, 180506 (2017)] is equal to the regularized Rains' bound and an upper bound E_N(ρ) for distillable entanglement for these states. Furthermore, we find states on the symmetric subspace satisfying the relation mentioned above, generalize the antisymmetric states and symmetric states in higher dimensions, and give a specific value for distillable entanglement and entanglement cost for these states under the PPT operations.

关键词: distillable entanglement, entanglement cost, semidefinite programming

Abstract:

Key words: distillable entanglement, entanglement cost, semidefinite programming

中图分类号: (Quantum information)

03.67.-a

03.67.Mn (Entanglement measures, witnesses, and other characterizations) 03.67.Bg (Entanglement production and manipulation)

段静, 罗宇, 李永明. A new class of states of reversible entanglement manipulation under positive partial transpose operations[J]. 中国物理B, 2018, 27(11): 110305-110305.

Jing Duan(段静), Yu Luo(罗宇), Yong-Ming Li(李永明). A new class of states of reversible entanglement manipulation under positive partial transpose operations[J]. Chin. Phys. B, 2018, 27(11): 110305-110305.

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A new class of states of reversible entanglement manipulation under positive partial transpose operations

A new class of states of reversible entanglement manipulation under positive partial transpose operations

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