Entanglement monogamy and entanglement evolution in multipartite systems

Bai, Yan-Kui; Ye, Ming-Yong; Wang, Z. D.

doi:10.1103/physreva.80.044301

Cited by 77 publications

(84 citation statements)

References 32 publications

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“…In this paper we will refer to this kind of correlation as correlations induced by back-action. In particular, correlations may build up between the two independent quantum reservoirs [16][17][18], and this phenomenon has been named sudden birth of entanglement in reservoirs.…”

Section: Introductionmentioning

confidence: 99%

Revival of quantum correlations without system-environment back-action

Franco

Bellomo²,

Andersson³

et al. 2012

Phys. Rev. A

185

201

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Revivals of quantum correlations have often been explained in terms of back-action on quantum systems by their quantum environment(s). Here we consider a system of two independently evolving qubits, each locally interacting with a classical random external field. The environments of the qubits are also independent, and there is no back-action on the qubits. Nevertheless, entanglement, quantum discord, and classical correlations between the two qubits may revive in this model. We explain the revivals in terms of correlations in a classical-quantum state of the environments and the qubits. Although classical states cannot store entanglement on their own, they can play a role in storing and reviving entanglement. It is important to know how the absence of back-action, or modeling an environment as classical, affects the kind of system time evolutions one is able to describe. We find a class of global time evolutions where back-action is absent and for which there is no loss of generality in modeling the environment as classical. Finally, we show that the revivals can be connected with the increase of a parameter used to quantify non-Markovianity of the single-qubit dynamics.

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Section: Introductionmentioning

confidence: 99%

Revival of quantum correlations without system-environment back-action

Franco

Bellomo²,

Andersson³

et al. 2012

Phys. Rev. A

185

201

View full text Add to dashboard Cite

show abstract

“…[15]. But, these relations are mainly focused on the distribution of two-qubit entanglement, the monogamy relation for multiqubit entanglement still awaits further study.…”

Section: Entanglement Monogamy Relations In Multipartite Cavity-rmentioning

confidence: 99%

“…This quantum state has a special entanglement property that, in a certain region of the mix probability, it is entangled but the entanglement can not be explained as the two-qubit concurrences or the three-qubit tangle [4][5][6]. It has a new type of entanglement structure and can exhibit in the qubit-block form [15]. In the following we will first analyze its entanglement evolution property in the multipartite cavity-reservoir system, and then compare it with a generalized GHZ state.…”

Section: Entanglement Evolution Of Three-qubit Mixed Statesmentioning

confidence: 99%

“…They showed that when the cavity entanglement experiences the ESD phenomenon, the reservoir entanglement suddenly and necessarily appears. Moreover, it is shown that the entanglement evolution is restricted by a monogamy relation and the genuine multipartite entanglement is involved in the dynamical procedure [15,16]. However, these papers only addressed the evolution with bipartite initial states, and the case of multipartite initial states is awaited for further studies.…”

Section: Introductionmentioning

confidence: 99%

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Entanglement evolution of three-qubit mixed states in multipartite cavity—reservoir systems

Guo

Wen

et al. 2012

Chinese Phys. B

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We analyze the multipartite entanglement evolution of three-qubit mixed states composed of a GHZ state and a W state. For a composite system consisting of three cavities interacting with independent reservoirs, it is shown that the entanglement evolution is restricted by a set of monogamy relations. Furthermore, as quantified by the negativity, the entanglement dynamical property of the mixed entangled state of cavity photons is investigated. It is found that the three cavity photons can exhibit the phenomenon of entanglement sudden death (ESD). However, compared with the evolution of a generalized three-qubit GHZ state which has the equal initial entanglement, the ESD time of mixed states is later than that of the pure state. Finally, we discuss the entanglement distribution in the multipartite system, and point out the intrinsic relation between the ESD of cavity photons and the entanglement sudden birth of reservoirs.

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“…The main idea is to prepare each spin of the chain in an appropriate squeezed state, so that the correlation from the "internal degree of freedom" is transferred into the spin-spin entanglement during the evolution of the system. It worth noting, that the possibility of correlation transfer between subsystems of various physical systems has been widely discussed both from theoretical [22][23][24][25] and experimental [26][27][28][29][30] perspectives.…”

Section: Introductionmentioning

confidence: 99%