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Advances in Applied Mathematics

An Entanglement Criterion for States in N⊗+∞System

银珠 王

Published Jan 1, 2014• 1 citation
Publisher

Abstract

本文借助特殊酉群的生成元，研究了无限维两体量子态的可分性问题，得到了一些情形量子态可分的必要性判据(其中)。 In this paper, according to the generators of special unitary group , the separability of quantum states in infinite dimensional bipartite quantum systems is studied, and we obtain some necessary entanglement criteria for states in the cases of N⊗+∞().

DOI
10.12677/aam.2014.31003

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本文借助特殊酉群的生成元，研究了无限维两体量子态的可分性问题，得到了一些情形量子态可分的必要性判据(其中)。 In this paper, according to the generators of special unitary group , the separability of quantum states in infinite dimensional bipartite quantum systems is studied, and we obtain some necessary entanglement criteria for states in the cases of N⊗+∞().
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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.