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Trapped Ion Quantum Computing Quantum Foundations

Generalized squeezing operators, bipartite Wigner functions and entanglement via Wehrl's entropy functionals

arXiv

Authors: Marcelo A. Marchiolli, Diogenes Galetti

Year

2007

Paper ID

49151

Status

Preprint

Abstract Read

~2 min

Abstract Words

109

Citations

N/A

Abstract

We introduce a new class of unitary transformations based on the su(1,1) Lie algebra that generalizes, for certain particular representations of its generators, well-known squeezing transformations in quantum optics. To illustrate our results, we focus on the two-mode bosonic representation and show how the parametric amplifier model can be modified in order to generate such a generalized squeezing operator. Furthermore, we obtain a general expression for the bipartite Wigner function which allows us to identify two distinct sources of entanglement, here labelled by dynamical and kinematical entanglement. We also establish a quantitative estimate of entanglement for bipartite systems through some basic definitions of entropy functionals in continuous phase-space representations.

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We introduce a new class of unitary transformations based on the su(1,1) Lie algebra that generalizes, for certain particular representations of its generators, well-known...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0709.1048 [2] arXiv https://arxiv.org/abs/0709.1048 [3] Publisher https://arxiv.org/abs/0709.1048

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