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Lectures on Quantum Optics and Quantum Information

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A last Level of Correlati<strong>on</strong>s : N<strong>on</strong>-locality<br />

Violati<strong>on</strong> of a Bell Inequality<br />

The multiple correlati<strong>on</strong>s cannot be described by a<br />

local hidden variables<br />

Fields with Gaussian statistics (Positive Wigner<br />

functi<strong>on</strong>) : can always be mapped into<br />

stochastic equati<strong>on</strong>s for fluctuating fields,<br />

which c<strong>on</strong>stitute the local « hidden » variables<br />

accounting for all the observed quantities…<br />

Single-phot<strong>on</strong> subtracti<strong>on</strong>s<br />

N<strong>on</strong>-Gaussian states with<br />

Negative Wigner functi<strong>on</strong>s<br />

A str<strong>on</strong>gly active field:<br />

Schrodinger cat states,<br />

CV qubit, distillati<strong>on</strong><br />

Hybrid Schemes<br />

Requires n<strong>on</strong>-Gaussian<br />

measurements or n<strong>on</strong>-Gaussian<br />

ressources<br />

Requires efficiency>95%, 6dB<br />

squeezing, high-purity of the<br />

initial state…<br />

And gives at most S=2.05<br />

R. Garcia-Patr<strong>on</strong> et al., Phys. Rev. Lett. 93, 130409 (2004); <strong>and</strong> many other proposals since then…

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