Sudden birth versus sudden death of entanglement for the extended Werner-like state in a dissipative environment

doi:10.1088/1674-1056/19/6/060303

Abstract In this paper, we investigate the dynamical behaviour of entanglement in terms of concurrence in a bipartite system subjected to an external magnetic field under the action of dissipative environments in the extended Werner-like initial state. The interesting phenomenon of entanglement sudden death as well as sudden birth appears during the evolution process. We analyse in detail the effect of the purity of the initial entangled state of two qubits via Heisenberg XY interaction on the apparition time of entanglement sudden death and entanglement sudden birth. Furthermore, the conditions on the conversion of entanglement sudden death and entanglement sudden birth can be generalized when the initial entangled state is not pure. In particular, a critical purity of the initial mixed entangled state exists, above which entanglement sudden birth vanishes while entanglement sudden death appears. It is also noticed that stable entanglement, which is independent of different initial states of the qubits (pure or mixed state), occurs even in the presence of decoherence. These results arising from the combination of the extended Werner-like initial state and dissipative environments suggest an approach to control and enhance the entanglement even after purity induced sudden birth, death and revival.

Keywords: entanglement sudden death (birth) extended Werner-like state stable entanglement

Received: 30 August 2009
Accepted manuscript online:

PACS:	03.65.Ud	(Entanglement and quantum nonlocality)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)
	03.67.Lx	(Quantum computation architectures and implementations)
	03.65.Yz	(Decoherence; open systems; quantum statistical methods)

Fund: Project supported by the National Natural Science Foundation, China (Grant No.~10904033), the Natural Science Foundation of Hubei Province, China (Grant No.~2009CDA145), the Science Foundation of the Educational Commission of Hubei Province, China (Grant

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Shan Chuan-Jia(单传家), Chen Tao(陈涛), Liu Ji-Bing(刘继兵) Cheng Wei-Wen(程维文), Liu Tang-Kun(刘堂昆), Huang Yan-Xia(黄燕霞), and Li Hong(李宏) Sudden birth versus sudden death of entanglement for the extended Werner-like state in a dissipative environment 2010 Chin. Phys. B 19 060303

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[1]	Relation between initial conditions and entanglement sudden death for two-qubit extended Werner-like states Yang Bai-Yuan (杨百元), Fang Mao-Fa (方卯发), Huang Jiang (黄江). Chin. Phys. B, 2013, 22(8): 080303.

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Sudden birth versus sudden death of entanglement for the extended Werner-like state in a dissipative environment

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