Factorization law for two lower bounds of concurrence

Mirafzali, Sayyed Yahya; Sargolzahi, Iman; Ahanj, Ali; Javidan, Kurosh; Sarbishaei, Mohsen

doi:10.1103/physreva.82.032321

Cited by 7 publications

(7 citation statements)

References 13 publications

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“…The existence of the relation ( 8) is also a remarkable feature of the dynamics of the correlation measures defined in Eq. ( 3) which differs from those observed for different entanglement measures [7][8][9][10][11][12]. There, the different entanglement measures obey a factorization law for arbitrary one-sided quantum channel, but ρ is limited to the pure states.…”

Section: A Depolarizing Channelmentioning

confidence: 87%

“…(3) which differs from those observed for different entanglement measures [7][8][9][10][11][12]. There, the different entanglement measures obey a factorization law for arbitrary one-sided quantum channel, but ρ is limited to the pure states.…”

Section: A Depolarizing Channelmentioning

confidence: 92%

“…Soon a universal curve describing the evolution of concurrence for general two-qubit states was revealed [6]. Since then, the evolution equations for many other entanglement measures [7][8][9] or their bounds [10][11][12] were derived.…”

Section: Introductionmentioning

confidence: 99%

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Evolution equation for geometric quantum correlation measures

Fan

2015

Phys. Rev. A

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A simple relation is established for the evolution equation of quantum information processing protocols such as quantum teleportation, remote state preparation, Bell-inequality violation and particularly dynamics of the geometric quantum correlation measures. This relation shows that when the system traverses the local quantum channel, various figures of merit of the quantum correlations for different protocols demonstrate a factorization decay behavior for dynamics. We identified the family of quantum states for different kinds of quantum channels under the action of which the relation holds. This relation simplifies the assessment of many quantum tasks.

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Section: A Depolarizing Channelmentioning

confidence: 87%

Section: A Depolarizing Channelmentioning

confidence: 92%

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Evolution equation for geometric quantum correlation measures

Fan

2015

Phys. Rev. A

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“…3.1, we have shown how the case of small degeneracy could be tackled. Recently, a general approach to deal with the degenerate cases has been outlined in [23].…”

Section: Discussionmentioning

confidence: 99%

Geometric discord and measurement-induced nonlocality for well known bound entangled states

Rana

Parashar

2013

Quantum Inf Process

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We employ geometric discord and measurement induced nonlocality to quantify non classical correlations of some well-known bipartite bound entangled states, namely the two families of Horodecki's (2 ⊗ 4, 3 ⊗ 3 and 4 ⊗ 4 dimensional) bound entangled states and that of Bennett et al.'s in 3 ⊗ 3 dimension. In most of the cases our results are analytic and both the measures attain relatively small value. The amount of quantumness in the 4 ⊗ 4 bound entangled state of Benatti et al.and the 2 ⊗ 8 state having the same matrix representation (in computational basis) is same. Coincidently, the 2m ⊗ 2m Werner and isotropic states also exhibit the same property, when seen as 2 ⊗ 2m 2 dimensional states.

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“…Looking for general law determining the evolution equation of coherence can facilitate the design of effective coherence preservation schemes. Remarkably, the evolution equations for certain entanglement monotones (or their bounds) 32 33 34 35 36 37 38 39 40 and geometric discords 41 were found to obey the factorization relation (FR) for specific initial states. Then, it is natural to ask whether there exists similar FR for various coherence monotones.…”

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confidence: 99%

Evolution equation for quantum coherence

Fan

2016

Sci Rep

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The estimation of the decoherence process of an open quantum system is of both theoretical significance and experimental appealing. Practically, the decoherence can be easily estimated if the coherence evolution satisfies some simple relations. We introduce a framework for studying evolution equation of coherence. Based on this framework, we prove a simple factorization relation (FR) for the l1 norm of coherence, and identified the sets of quantum channels for which this FR holds. By using this FR, we further determine condition on the transformation matrix of the quantum channel which can support permanently freezing of the l1 norm of coherence. We finally reveal the universality of this FR by showing that it holds for many other related coherence and quantum correlation measures.

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Factorization law for two lower bounds of concurrence

Cited by 7 publications

References 13 publications

Evolution equation for geometric quantum correlation measures

Evolution equation for geometric quantum correlation measures

Geometric discord and measurement-induced nonlocality for well known bound entangled states

Evolution equation for quantum coherence

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