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Entanglement of Formation for Gaussian States

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arxiv 0808.1658 v1 pith:TUZ2H377 submitted 2008-08-12 quant-ph

Entanglement of Formation for Gaussian States

classification quant-ph
keywords conjecturecorrelationentanglementformationgaussianstatesactinganalysis
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The entanglement of formation (EOF) is computed for arbitrary two-mode Gaussian states. Apart from a conjecture, our analysis rests on two main ingredients. The first is a four-parameter canonical form we develop for the covariance matrix, one of these parameters acting as a measure of EOF, and the second is a generalisation of the EPR correlation, used in the work of Giedke {\em et al} [Phys. Rev. Lett. {\bf 91}, 107901 (2003)], to noncommuting variables. The conjecture itself is in respect of an extremal property of this generalized EPR correlation.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Optimality of Gaussian Entanglement of Formation

    quant-ph 2026-08 conditional novelty 8.0

    For every two-mode Gaussian state, the unrestricted entanglement of formation equals its Gaussian restriction, resolving the two-mode instance of Open Quantum Problem 29.