2019
DOI: 10.1088/1367-2630/ab41b1
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Universal complementarity between coherence and intrinsic concurrence for two-qubit states

Abstract: Entanglement and coherence are two essential quantum resources for quantum information processing. A natural question arises of whether there is a direct link between them. In this work, we propose a definition of intrinsic concurrence for two-qubit states. Although the intrinsic concurrence is not a measure of entanglement, it embodies the concurrence of four pure states which are members of a special pure state ensemble for an arbitrary two-qubit state. And we show that intrinsic concurrence is always comple… Show more

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Cited by 28 publications
(29 citation statements)
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“…sphere. This relation is also suggestive of the coherence-concurrence complementarity [18]. For a given b-coordinate of the base sphere, a rising c means a falling imaginary part x 4 , and vice versa.…”
Section: Discussionmentioning
confidence: 87%
“…sphere. This relation is also suggestive of the coherence-concurrence complementarity [18]. For a given b-coordinate of the base sphere, a rising c means a falling imaginary part x 4 , and vice versa.…”
Section: Discussionmentioning
confidence: 87%
“…[39] Compared to the result in ref. [29], we generalize the complementarity between intrinsic concurrence and first-order coherence within the framework of arbitrary three-qubit states. Based on the purity relation and the complementary relation for the spin correlations, we derive the equality relation between the intrinsic concurrence and the first-order coherence for the three-qubit pure states and the inequality relation for arbitrary three-qubit states, which distinguishes from that in ref.…”
Section: Discussionmentioning
confidence: 99%
“…[32,33] For an arbitrary two-qubit state, if it can be decomposed into the pure state ensemble AB = ∑ 4 =1  n | n ⟩⟨ n | with the decomposition probabilities  n and the pure states | n ⟩ satisfy the tilde orthogonal relation ⟨ m |̃n⟩ = mn ⟨ n |̃n⟩, | n ⟩ and n =  2 n C 2 (| n ⟩) are the corresponding eigenvectors and eigenvalues of the non-Hermitian matrix AB̃AB , respectively. The intrinsic concurrence for the state AB can be defined as [29] C I (…”
Section: Intrinsic Concurrencementioning
confidence: 99%
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“…If is the density operator of a two-qubit system, then its spin-flipped state is given by , where is the complex conjugate of . The matrix is a non-Hermitian matrix [ 74 , 75 ], and it can be proven [ 76 ] that its four eigenvalues are real and non-negative. Let us denote these eigenvalues by , , , and , in decreasing order.…”
Section: Dynamics Of Concurrence and Quantum Discord Of The Evolvementioning
confidence: 99%