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Journal of Optics B Quantum and Semiclassical Optics

The relation between three types of three-mode squeezing operators and the tripartite entangled state

Hong-Yi Fan, Nian-Quan Jiang

Published Mar 26, 2004• 3 citations
Publisher

Abstract

Based on the newly constructed tripartite entangled state of continuum variables (Fan and Jiang 2003 J. Opt. B: Quantum Semiclass. Opt. 5 283) we introduce three different, but mutually commutable, squeezing operators which can squeeze any three-mode quantum states; in particular they squeeze to , and respectively. Schemes of implementing these squeezing operators are briefly discussed.

DOI
10.1088/1464-4266/6/4/007

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Based on the newly constructed tripartite entangled state of continuum variables (Fan and Jiang 2003 J. Opt. B: Quantum Semiclass. Opt. 5 283) we introduce three different, but mutually commutable, squeezing operators which can squeeze any three-mode quantum states; in particular they squeeze to , and respectively. Schemes of implementing these squeezing operators are briefly discussed.
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Abstract The states of a three-mode bosonic system with the restricted Hilbert space are discussed in the context of quantum entanglement and squeezing of quantum fluctuations. The states exhibiting nonzero tripartite entanglement are considered. Mutual relations between the two- and three-mode entanglement quantified by the corresponding negativities and the squeezing described by the corresponding principal squeeze variances are revealed. Entangled three-qubit states exhibiting squeezing are identified.