Entanglement sudden death in qubit–qutrit systems

Ann, Kevin; Jaeger, Gregg

doi:10.1016/j.physleta.2007.07.070

Cited by 69 publications

(50 citation statements)

References 14 publications

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“…Clearly, such finite-time disentanglement can seriously affect applications of entangled states in quantum information processing. The initial report of ESD in two-qubit entangled states in a specific model was later explored in wider contexts and in higher dimensions of Hilbert space when the qubits are replaced by qutrits or qudits [4,5,6,7,8,9,10,11]. The experimental evidences for this effect have been reported for optical setups [12] and atomic ensembles [13].…”

Section: Introductionmentioning

confidence: 99%

Distillability sudden death in qutrit-qutrit systems under global and multilocal dephasing

Ali

2010

Phys. Rev. A

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Recently Song et al., Phys. Rev. A 80, 012331 (2009), have discovered that certain two-qutrit entangled states interacting with multi-local decoherence undergo distillability sudden death whereas their locally equivalent states do not exhibit such behavior. We have found that their basic equation of motion missed some terms and therefore the subsequent calculations and conclusions are not correct/valid except that distillability sudden death may occur. We provide the missing terms and point out the corrections which must be done in the literature to remove confusion. Moreover, we have studied this feature for certain entangled states under global, collective and multi-local decoherence. We have found that entanglement sudden death and distillability sudden death may happen under global and multi-local noises. Moreover, local unitary transformations can not avoid distillability sudden death.

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Section: Introductionmentioning

confidence: 99%

Distillability sudden death in qutrit-qutrit systems under global and multilocal dephasing

Ali

2010

Phys. Rev. A

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“…Such a finite time disentanglement is called entanglement sudden-death [4][5][6][7]. The time evolution of entanglement has been investigated in detail for Markovian and non-Markovian thermal reservoirs and for the classical reservoir [8][9][10][11][12][13][14][15]. The entanglement, however, is not only quantum correlation between quantum systems.…”

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confidence: 99%

Decay of two-qubit correlations in the squeezed Bloch channel

Ban

2012

Journal of Modern Optics

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The decay of correlations between two qubits under the influence of a squeezed thermal reservoir is investigated by means of the quantum master equation in the Born-Markov approximation. To find the effect of the reservoir squeezing on the two-qubit correlations, concurrence, quantum discord, classical correlation and total correlation are calculated for the X-states. It is found that, except for quantum discord, the reservoir squeezing always suppresses the decay of the correlations during the time evolution. On the other hand, for quantum discord, the reservoir squeezing enhances the decay in the initial and intermediate time regions while it reduces the decay in the long time region.Keywords: entanglement; quantum discord; qubit; reservoir; squeezing; quantum optics (inc. quantum information) IntroductionA quantum system which is placed under the influence of a thermal reservoir undergoes an irreversible time evolution [1,2], during which the quantum mechanical properties of the system, such as coherence, entanglement and the violation of the Bell inequality, is destroyed. One of the characteristic features of a bipartite quantum system is entanglement which is an essential resource for quantum teleportation and quantum dense coding [3]. The time evolution of entanglement in a dissipative system is quite different from that of coherence. In a relaxation process, the coherence decays asymptotically to zero with time while the entanglement may become abruptly zero. Such a finite time disentanglement is called entanglement sudden-death [4][5][6][7]. The time evolution of entanglement has been investigated in detail for Markovian and non-Markovian thermal reservoirs and for the classical reservoir [8][9][10][11][12][13][14][15]. The entanglement, however, is not only quantum correlation between quantum systems. The quantum correlation measured by the quantum discord [16,17] is also important in quantum information processing. Hence the quantum discord has recently been investigated by many authors [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. Although the quantum discord is, in general, very difficult to calculate, an exact and analytical expression can be obtained for the two-qubit X-state including the Werner state and the Bell diagonal state [18,23,24]. It has also been found that

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“…The CSTRE criterion is also useful in identifying entanglement in d 1 × d 2 dimensional states as can be seen through the example of a qubit-qutrit (2 × 3) X state [19,20]. The state ρ ab is given by [19,20] One can also use the CSTRE criterion to examine separability in non-symmetric analogues of the family of states ρ N (x) (See Eq.…”

Section: Further Illustrations and Future Directionsmentioning

confidence: 99%

“…The state ρ ab is given by [19,20] One can also use the CSTRE criterion to examine separability in non-symmetric analogues of the family of states ρ N (x) (See Eq. (11)).…”

Section: Further Illustrations and Future Directionsmentioning

confidence: 99%