0307023v2

related topics
{state, states, entangled}
{state, states, coherent}
{energy, gaussian, time}
{entanglement, phys, rev}
{bell, inequality, local}
{let, theorem, proof}
{cos, sin, state}
{information, entropy, channel}
{states, state, optimal}

Lower bounds on the entanglement of formation for general Gaussian states

G. Rigolin, C. O. Escobar

abstract: We derive two lower bounds on entanglement of formation for arbitrary mixed Gaussian states by two distinct methods. To achieve the first one we use a local measurement procedure derived by Giedke et al [Quantum Inf. and Comp. vol.1, 79 (2001)] that symmetrizes a general Gaussian state and the fact that entanglement cannot increase under local operations and classical communications. The second one is obtained via a generalization to mixed states of an interesting result derived by Giedke et al [quant-ph/0304042], who show that squeezed states are those that, for a fixed amount of entanglement, maximize Einstein-Podolsky-Rosen-like correlations.

oai_identifier:
oai:arXiv.org:quant-ph/0307023
categories:
quant-ph
comments:
6 pages, no figures, RevTex4, published version
doi:
10.1103/PhysRevA.69.012307
arxiv_id:
quant-ph/0307023
journal_ref:
Phys. Rev. A 69, 012307 (2004)
created:
2003-07-03
updated:
2004-01-18

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