Generation and sudden death of entanglement in qubit–qutrit systems with depolarising noise

Khan, Salman

doi:10.1017/s0960129512000977

Cited by 6 publications

(3 citation statements)

References 37 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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“…Any principle quantum system used for processing information interacts with environment whose effect on entanglement between the components of a composite system leads to a number of undesirable consequences, such as loss of entanglement and entanglement sudden death (ESD) [9]. On the other hand, study like [10] shows that under certain conditions the environment can generate or reproduce entanglement. Although initially pointed out theoretically, most of these phenomenon have now become laboratory facts [11,12].…”

Section: Introductionmentioning

confidence: 99%

The Effect of Dipole-Dipole Interaction on Tripartite Entanglement in Different Cavities

Khan

Jan

2015

Int J Theor Phys

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The effect of dipole-dipole interaction, the initial relative phase and the coupling strength with the cavity on the dynamics of three two level atoms in the good and the bad cavity regime are investigated. It is found that the presence of strong dipole-dipole interaction not only ensures avoiding entanglement sudden death but also retains entanglement for long time. The choice of the phase in the initial state is crucial to the operational regime of the cavity. Under specific conditions, the entanglement can be frozen in time to its initial values through strong dipole-dipole interaction. This trait of tripartite entanglement may prove helpful in engineering multiparticle entanglement for the practical realization of quantum technology.

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“…Ali [16] studied the quantum discord for a two-parameter class of states in a 2 ⊗ d system in 2010. For a qubit-qutrit (2 ⊗ 3) system, Ann [25] and Kan [26] studied its entanglement dynamics under the influence of dephasing and depolarizing channels, respectively. Ali et al [27,28] and Ramzan et al [29] studied its entanglement dynamics under phase damping and amplitude damping channels.…”

Section: Introductionmentioning

confidence: 99%

Geometric measure of quantum discord for a two-parameter class of states in a qubit–qutrit system under various dissipative channels

Wei

Ren

Deng

2012

Quantum Inf Process

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Quantum discord, as a measure of all quantum correlations, has been proposed as the key resource in certain quantum communication tasks and quantum computational models without containing much entanglement. Dakić, Vedral, and Brukner [Phys. Rev. Lett. 105, 190502 (2010)] introduced a geometric measure of quantum discord (GMQD) and derived an explicit formula for any two-qubit state. Luo and Fu [Phys. Rev. A 82, 034302 (2010)] introduced another form of GMQD and derived an explicit formula for arbitrary state in a bipartite quantum system. However, the explicit analytical expression for any bipartite system was not given. In this work, we give out the explicit analytical expressions of the GMQD for a two-parameter class of states in a qubit-qutrit system and study its dynamics for the states under various dissipative channels in the first time.Our results show that all these dynamic evolutions do not lead to a sudden vanishing of GMQD. Quantum correlations vanish at an asymptotic time for local or multi-local dephasing, phase-flip, and depolarizing noise channels. However, it does not disappear even though t → ∞ for local trit-flip and local trit-phase-flip channels. Our results maybe provide some important information for the application of GMQD in hybrid qubit-qutrit systems in quantum information.Keywords: quantum correlations, geometric measure of quantum discord, dynamics, a qubit-qutrit system, a two-parameter class of states

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Generation and sudden death of entanglement in qubit–qutrit systems with depolarising noise

Cited by 6 publications

References 37 publications

Environment generated quantum correlations in bipartite qubit-qutrit systems

Environment generated quantum correlations in bipartite qubit-qutrit systems

The Effect of Dipole-Dipole Interaction on Tripartite Entanglement in Different Cavities

Geometric measure of quantum discord for a two-parameter class of states in a qubit–qutrit system under various dissipative channels

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