Estimation of concurrence for multipartite mixed states

Monogamy relations characterize the distributions of entanglement in multipartite systems. We investigate monogamy relations related to the concurrence C, the entanglement of formation E, negativity Nc and Tsallis-q entanglement Tq. Monogamy relations for the αth power of entanglement have been derived, which are tighter than the existing entanglement monogamy relations for some classes of quantum states. Detailed examples are presented.

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“…Example 1. Let us consider the three-qubit state |ψ in the generalized Schmidt decomposition form [38,39],…”

Section: Tighter Monogamy Relations For Concurrencementioning

confidence: 99%

Tighter monogamy relations in multiqubit systems

Jin

et al. 2018

Phys. Rev. A

122

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“…Let us consider the three-qubit case. Any three-qubit state |ψ can be written in the generalized Schmidt decomposition [14,20,21],…”

Section: Monogamy Property Of Concurrencementioning

confidence: 99%

Monogamy properties of qubit systems

Zhu¹,

Fei²

2018

Quantum Inf Process

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We investigate monogamy relations related to quantum entanglement for n−qubit quantum systems. General monogamy inequalities are presented to the βth (β ∈ (0, 2)) power of concurrence, negativity and the convex-roof extended negativity, as well as the βth (β ∈ (0, √ 2)) power of entanglement of formation. These monogamy relations are complementary to the existing ones with different regions of parameter β. In additions, new monogamy relations are also derived which include the existing ones as special cases.PACS numbers:

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“…[Theorem 2]. If C ABi ≥ C A|Bi+1···BN−1 for all i = 1, 2, · · · , N − 2, then we have position form [19,20],…”

Section: Tighter Monogamy Relation Of Concurrencementioning

confidence: 99%

Tighter entanglement monogamy relations of qubit systems

Jin¹,

Fei²

2017

Quantum Inf Process

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Monogamy relations characterize the distributions of entanglement in multipartite systems. We investigate monogamy relations related to the concurrence C and the entanglement of formation E. We present new entanglement monogamy relations satisfied by the α-th power of concurrence for all α ≥ 2, and the α-th power of the entanglement of formation for all α ≥ √ 2. These monogamy relations are shown to be tighter than the existing ones.

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Estimation of concurrence for multipartite mixed states

Abstract: Abstract. We investigate the lower bound of concurrence for multipartite quantum mixed states. Analytical lower bounds are derived for some multipartite systems, by establishing functional relations between concurrence and the generalized partial transpositions.

Cited by 41 publications

References 33 publications

Tighter monogamy relations in multiqubit systems

Tighter monogamy relations in multiqubit systems

Monogamy properties of qubit systems

Tighter entanglement monogamy relations of qubit systems

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