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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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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. 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.
作者 Xin-Wei Zha Ning Miao Ke Li 查新未;苗宁;李轲(Xi’an University of Posts and Telecommunications)
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第12期88-91,共4页 中国物理B(英文版)
关键词 quantum correlations entangled relations n-tangle six-qubit and eight-qubit quantum correlations entangled relations n-tangle six-qubit and eight-qubit
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