Entanglement sudden death and birth in qubit–qutrit systems under Dzyaloshinskii–Moriya interaction

Sharma, Kapil K.; Awasthi, Suneet Kumar; Pandey, S. N.

doi:10.1007/s11128-013-0607-8

Cited by 37 publications

(20 citation statements)

References 19 publications

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“…The utility of entanglement in different quantum information tasks as a resource decreases when the system interacts for considerably long time with its environment. The effect of environ-ment on entanglement between the components of a composite system leads to a number of undesirable consequences, such as entanglement loss, entanglement sudden death and even the rebirth of entanglement [28][29][30][31]. The study of the dynamics of quantum entanglement and quantum discord in Markovian environment shows that, unlike entanglement, quantum discord is immune to sudden death [32].…”

Section: Introductionmentioning

confidence: 99%

Environment generated quantum correlations in bipartite qubit-qutrit systems

Khan

Ahmad

2016

Optik

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The dynamics of entanglement and quantum discord for qubit-qutrit systems are studied in the presence of phase damping and amplitude damping noises. Both one way and two couplings of the marginal systems with the environments are considered. Entanglement sudden death is unavoidable under any setup, however, the required time span depends on the way of coupling. On the other hand, the dynamics of quantum discord strongly depends both on the nature of environment and on the number of dimensions of the Hilbert space of the coupled marginal system. We show that freezing and invariance of quantum discord, as previously reported in the literature, are limited to some special cases. Most importantly, it is noted that under some particular coupling the existence of environment can guarantee the generation of nonclassical correlations.

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Section: Introductionmentioning

confidence: 99%

Environment generated quantum correlations in bipartite qubit-qutrit systems

Khan

Ahmad

2016

Optik

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“…[21][22][23] where are mainly concentrated on distillability sudden death in qutrit-qutrit systems under amplitude damping at zero temperature, we here have studied the phenomena of distillability sudden death and sudden birth in a two-qutrit system under decoherence at a finite temperature, in which the initial states are prepared in special states Eq. (8). Note that these strange states due to the reason that their entanglement properties are well known and one can well characterize entanglement of the resultant states to study their dynamics.…”

Section: Resultsmentioning

confidence: 99%

“…Analogous to the definitions of entanglement sudden death and sudden birth which were first proposed by Yu and Eberly [6,7], when they investigated the entanglement dynamic of bipartite quantum systems, they found the entanglement of composed systems disappeared in a finite time due to the decoherence of quantum systems and dissipative environments. Later this phenomenon was extended to bipartite or multipartite systems interacting with different kinds of dissipative environments [8][9][10][11][12][13]. At the same time, revival of entanglement in open quantum systems was predicted and observed under suitable environmental conditions [14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 95%

Distillability sudden death and sudden birth in a two-qutrit system under decoherence at finite temperature

Guo

Mao-Fa

Wang

et al. 2016

Quantum Inf Process

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Distillability sudden death and sudden birth in a two-qutrit system locally subject to amplitude damping channel at a finite temperature have been studied in detail. By using the negativity and the realignment criterion, the results show that certain initially prepared free entangled states under amplitude damping channel at a finite temperature may become bound entangled or separable states in a finite time. Moreover, we have also demonstrated initially prepared bound entangled or separable states may also become distillable entangled states in a finite time.

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“…By using the above similar procedure we calculate the another negativities involved in the equations Eq. (19) and (20), which are further used to evaluate the terms π B and π C . Finally the terms π A , π B and π C , lead the calculation of three π measure given in Eq.…”

Section: A Case 1: Initial Preparation With W Statesmentioning

confidence: 99%

Robustness of Greenberger $$\textendash $$ – Horne $$\textendash $$ – Zeilinger and W states against Dzyaloshinskii-Moriya interaction

Sharma

Pandey

2016

Quantum Inf Process

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In this article the robustness of tripartite W and Greenberger-Horne-Zeilinger (GHZ) states is investigated against Dzyaloshinskii-Moriya (i.e. DM) interaction. We consider a closed system of three qubits and an environmental qubit. The environmental qubit interacts with any one of the three qubits through DM interaction. The tripartite system is initially prepared in W and GHZ states respectively. The composite four qubits system evolve with unitary dynamics. We detach the environmental qubit by tracing out from four qubits and profound impact of DM interaction is studied on the initial entanglement of the system. As a result we find that the bipartite partitions of W states suffer from entanglement sudden death (i.e. ESD), while tripartite entanglement does not. On the other hand bipartite partitions and tripartite entanglement in GHZ states does not feel any influence of DM interaction. So, we find that GHZ states have robust character than W states. In this work we consider generalised W and GHZ states and three π is used as an entanglement measure. This study can be useful in quantum information processing where unwanted DM interaction takes place.

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Entanglement sudden death and birth in qubit–qutrit systems under Dzyaloshinskii–Moriya interaction

Cited by 37 publications

References 19 publications

Environment generated quantum correlations in bipartite qubit-qutrit systems

Environment generated quantum correlations in bipartite qubit-qutrit systems

Distillability sudden death and sudden birth in a two-qutrit system under decoherence at finite temperature

Robustness of Greenberger $$\textendash $$ – Horne $$\textendash $$ – Zeilinger and W states against Dzyaloshinskii-Moriya interaction

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