Simple criteria for the SLOCC classification

Li, Dafa; Li, Xiangrong; Huang, Hongtao; Li, Xinxin

doi:10.1016/j.physleta.2006.07.004

Cited by 32 publications

(37 citation statements)

References 15 publications

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“…There are many true entangled states with the maximal residual entanglement. For example, when n = 4, |C = (|3 + |5 + |6 + |9 + |10 + |12)/ √ 6 [13]. τ (C) = 1.…”

Section: States With the Maximal Residual Entanglementmentioning

confidence: 99%

Stochastic local operations and classical communication invariant and the residual entanglement fornqubits

Huang

et al. 2007

Phys. Rev. A

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“…There are many true entangled states with the maximal residual entanglement. For example, when n = 4, |C = (|3 + |5 + |6 + |9 + |10 + |12)/ √ 6 [13]. τ (C) = 1.…”

Section: States With the Maximal Residual Entanglementmentioning

confidence: 99%

Stochastic local operations and classical communication invariant and the residual entanglement fornqubits

Huang

et al. 2007

Phys. Rev. A

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“…As discussed before, τ (ψ) happens to be Coffman et al's residual entanglement for three qubits. From (5) of p. 429 in [18],…”

Section: The Odd N-tanglementioning

confidence: 99%

An entanglement measure for n qubits

Huang

et al. 2009

Journal of Mathematical Physics

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In Phys. Rev. A 61, 052306 (2000), Coffman, Kundu and Wootters introduced the residual entanglement for three qubits. In this paper, we present the entanglement measure τ (ψ) for even n qubits; for odd n qubits, we propose the residual entanglement τ (i) (ψ) with respect to qubit i and the odd n-tangle R(ψ) by averaging the residual entanglement with respect to each qubit. In this paper, we show that these measures are LUinvariant, entanglement monotones, invariant under permutations of the qubits, and multiplicative in some cases.

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“…In recent years, a lot of efforts have been made on classification of multipartite entanglement under SLOCC [3,[9][10][11][12][13][14][15][16][17][18]. In [15] an inductive method of classifying n-qubit entanglement under SLOCC has been presented, from which the entanglement classifica-tion of three and four qubits have been obtained.…”

Section: Introductionmentioning

confidence: 99%