Distillability sudden death in qutrit-qutrit systems under global decoherence

Abstract

Recently Song {\it et al}., Phys. Rev. A {\bf 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.

6 pages, 6 Figures

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• Calculation of quantum discord in arbitrary dimensions, especially for X- and other specialized states
• Sudden change in dynamics of genuine multipartite entanglement of cavity-reservoir qubits
• Work and Heat Value of Bound Entanglement
• Nondistillability of distillable qutrit-qutrit states under depolarizing noise
• Qubit-Qutrit ($2\otimes 3$) quantum systems: An investigation of some quantum correlations under collective dephasing
• Quantum correlations in qutrit-qutrit systems under local quantum noise channels
• Global quantum correlations in tripartite nonorthogonal states and monogamy properties
• A characterization of entangled two-qubit states via partial-transpose-moments
• Genuine entanglement under squeezed generalized amplitude damping channels with memory
• Mapping generalized Jaynes-Cummings interaction into correlated finite-sized systems
• Freezing dynamics of entanglement and nonlocality for qutrit-qutrit ($3\otimes 3$) quantum systems
• Sudden change of genuine multipartite entanglement in non-Markovian dynamics