Erratum: Entangled coherent states [Phys. Rev. A<i>45</i>, 6811 (1992)]

Sanders, Barry C.

doi:10.1103/physreva.46.2966

Cited by 56 publications

(63 citation statements)

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“…In this analysis, a bipartite entangled coherent states was shown to violate a phase-coherence Bell inequality [36] in the few-photon limit [32,33]. Later the entangled coherent states were also shown to violate a formal Bell inequality in the large photon number limit [37].…”

Section: Introductionmentioning

confidence: 85%

Review of entangled coherent states

Sanders¹

2012

J. Phys. A: Math. Theor.

212

167

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We review entangled coherent state research since its first implicit use in 1967 to the present. Entangled coherent states are important to quantum superselection principles, quantum information processing, quantum optics, and mathematical physics. Despite their inherent fragility they have produced in a conditional propagating-wave quantum optics realization. Fundamentally the states are intriguing because they are entanglements of the coherent states, which are in a sense the most classical of all states of a dynamical system. Contents

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Section: Introductionmentioning

confidence: 85%

Review of entangled coherent states

Sanders¹

2012

J. Phys. A: Math. Theor.

212

167

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“…The entangled coherent states [27] are other important continuous variable entangled states. Although the coherence is degraded when these states are embedded in the environment, its entanglement is not totaly lost.…”

Section: The Entangled Coherent Statesmentioning

confidence: 99%

Squeezing and Entanglement in Continuous Variable Systems

Xia

Guo

2004

Chinese Phys. Lett.

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Based on total variance of a pair of Einstein-Podolsky-Rosen (EPR) type operators, the generalized EPR entangled states in continuous variable systems are defined. We show that such entangled states must correspond with two-mode squeezing states whether these states are Gaussian or not and whether they are pure or not. With help of the relation between the total variance and the entanglement, the degree of such entanglement is also defined. Through analyzing some specific cases, we see that this method is very convenient and easy in practical application. In addition, an entangled state with no squeezing is studied, which reveals that there certainly exist something unknown about entanglement in continuous variable systems.

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“…Study of quantum information theory using entangled coherent states is of much current interest. 23,24 Recently bipartite Barut-Girardello 25 coherent states of the U q (su(1, 1)) algebra have been found to be entangled for q = 1. Our present calculation adds to the expectation that the entanglement of bipartite and multipartite coherent states is a generic feature of the quantum algebras.…”

Section: Introductionmentioning

confidence: 99%

Generalized boson algebra and its entangled bipartite coherent states

Aizawa¹,

Chakrabarti²,

Segar³

2005

J. Phys. A: Math. Gen.

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Starting with a given generalized boson algebra U q (h(1)) known as the bosonized version of the quantum super-Hopf U q (osp(1|2)) algebra, we employ the Hopf duality arguments to provide the dually conjugate function algebra Fun q (H (1)). Both the Hopf algebras being finitely generated, we produce a closed form expression of the universal T matrix that caps the duality and generalizes the familiar exponential map relating a Lie algebra with its corresponding group. Subsequently, using an inverse Mellin transform approach, the coherent states of single-node systems subject to the U q (h(1)) symmetry are found to be complete with a positive-definite integration measure. Nonclassical coalgebraic structure of the U q (h(1)) algebra is found to generate naturally entangled coherent states in bipartite composite systems.

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Erratum: Entangled coherent states [Phys. Rev. A45, 6811 (1992)]

Cited by 56 publications

References 1 publication

Review of entangled coherent states

Review of entangled coherent states

Squeezing and Entanglement in Continuous Variable Systems

Generalized boson algebra and its entangled bipartite coherent states

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