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Journal of Taiyuan University of Science and Technology

Some Entanglement Criteria for States in Infinite Dimensional Bipartite Quantum Systems

Yinzhu Wang

Published Jan 1, 2012• 0 citations
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Abstract

The separatability of states in infinite dimensional quantum systems is discussed,some necessary conditions for separable states are presented in infinite dimensional quantum systems,some inequalities are obtained for separable states.These results extend the results of Otfried Guhne(Phys Rev Lett,2004)and Zhang ChengJie(Phys Rev A,2010),which reinforces the exploration of entanglement for states in infinite dimensional quantum systems.

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The separatability of states in infinite dimensional quantum systems is discussed,some necessary conditions for separable states are presented in infinite dimensional quantum systems,some inequalities are obtained for separable states.These results extend the results of Otfried Guhne(Phys Rev Lett,2004)and Zhang ChengJie(Phys Rev A,2010),which reinforces the exploration of entanglement for states in infinite dimensional quantum systems.
The classical state in tensor product space of considering quantum systems and ancillary quantum systems was constructed.By taking partial trace over ancillary composite quantum systems,the problem of detecting entanglement for states in infinite dimensional bipartite composite quantum system was studied.A necessary and sufficient condition for separable states in infinite dimensional bipartite quantum systems was obtained.The above work extended the relevant results got by Li Nan and Luo Shunlong,and reinforced the exploration of entanglement for states in infinite dimensional quantum systems.