Relations between tangle and I concurrence for even n-qubit states

doi:10.1088/1674-1056/ab4e7d

中国物理B ›› 2019, Vol. 28 ›› Issue (12): 120304-120304.doi: 10.1088/1674-1056/ab4e7d

Relations between tangle and I concurrence for even n-qubit states

Xin-Wei Zha(查新未), Ning Miao(苗宁), Ke Li(李轲)

Xi'an University of Posts and Telecommunications, Xi'an 710121, China

收稿日期:2019-07-12 修回日期:2019-09-26 出版日期:2019-12-05 发布日期:2019-12-05
通讯作者: Ning Miao E-mail:673431488@qq.com

Relations between tangle and I concurrence for even n-qubit states

Xin-Wei Zha(查新未), Ning Miao(苗宁), Ke Li(李轲)

Xi'an University of Posts and Telecommunications, Xi'an 710121, China

Received:2019-07-12 Revised:2019-09-26 Online:2019-12-05 Published:2019-12-05
Contact: Ning Miao E-mail:673431488@qq.com

摘要/Abstract

摘要： Gilad Gour and Nolan R Wallach[J. Math. Phys. 51 112201 (2010)] have proposed the 4-tangle and the square of the I concurrence. They also gave the relationship between the 4-tangle and the square of the I concurrence. In this paper, we give the expression of the square of the I concurrence and the n-tangle for six-qubit and eight-qubit by some local unitary transformation invariant. We prove that in six-qubit and eight-qubit states there exist strict monogamy laws for quantum correlations. We elucidate the relations between the square of the I concurrence and the n-tangle for six-qubit and eight-qubits. Especially, using this conclusion, we can show that 4-uniform states do not exist for eight-qubit states.

关键词: quantum correlations, entangled relations, n-tangle, six-qubit and eight-qubit

Abstract: Gilad Gour and Nolan R Wallach[J. Math. Phys. 51 112201 (2010)] have proposed the 4-tangle and the square of the I concurrence. They also gave the relationship between the 4-tangle and the square of the I concurrence. In this paper, we give the expression of the square of the I concurrence and the n-tangle for six-qubit and eight-qubit by some local unitary transformation invariant. We prove that in six-qubit and eight-qubit states there exist strict monogamy laws for quantum correlations. We elucidate the relations between the square of the I concurrence and the n-tangle for six-qubit and eight-qubits. Especially, using this conclusion, we can show that 4-uniform states do not exist for eight-qubit states.

Key words: quantum correlations, entangled relations, n-tangle, six-qubit and eight-qubit

中图分类号: (Entanglement measures, witnesses, and other characterizations)

03.67.Mn

03.65.Ud (Entanglement and quantum nonlocality)

查新未, 苗宁, 李轲. Relations between tangle and I concurrence for even n-qubit states[J]. 中国物理B, 2019, 28(12): 120304-120304.

Xin-Wei Zha(查新未), Ning Miao(苗宁), Ke Li(李轲). Relations between tangle and I concurrence for even n-qubit states[J]. Chin. Phys. B, 2019, 28(12): 120304-120304.

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Relations between tangle and I concurrence for even n-qubit states

Relations between tangle and I concurrence for even n-qubit states

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