New Properties of the Wigner Function of the Tripartite Entangled State

Lv, Cui-hong

doi:10.1007/s10773-013-1485-7

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The Multipartite Entangled State Representations and Their C1

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2015

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“…We know that it was Wigner who first introduced the Wigner function which offers an appealing possibility to describe quantum phenomena using the classical-like concept of phase space [31,32]. Now this remarkable quantum entity became one of the leading tools in many fields of physics.…”

Section: The Multipartite Entangled State Representations and Their Cmentioning

confidence: 99%

The New Multipartite Squeezing Operator and Some of its Properties

Cui

2015

Int J Theor Phys

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In this paper, we introduce a pair of mutually conjugate multipartite entangled state representations for defining the squeezing operator of entangled multipartite S n (λ) which involves an n-mode bosonic operator realization of the SU(1,1) Lie algebra. This operator squeezes the multipartite entangled state in a natural way. We discuss the transform properties of a j and a † j under the operation of S n (λ) and derive the interaction Hamiltonian which can generate such an evolution. In addition, the corresponding multipartite squeezed vacuum state |λ is obtained. Based on this, the variances of the n-mode quadratures in |λ are evaluated and the violation of the Bell inequality for |λ is examined by using the formalism of Wigner representation.

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Section: The Multipartite Entangled State Representations and Their Cmentioning

confidence: 99%