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

doi:10.1088/1674-1056/ab4e7d

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.

Keywords: quantum correlations entangled relations n-tangle six-qubit and eight-qubit

Received: 12 July 2019
Revised: 26 September 2019
Accepted manuscript online:

PACS:	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)
	03.65.Ud	(Entanglement and quantum nonlocality)

Corresponding Authors: Ning Miao
E-mail: 673431488@qq.com

Cite this article:

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 2019 Chin. Phys. B 28 120304

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