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Lectures on Quantum Optics and Quantum Information

Lectures on Quantum Optics and Quantum Information

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Effect of Losses <strong>on</strong> Squeezed Light<br />

Model of losses in quantum optics<br />

Intensity loss : 1-<br />

Can be modelled by a beam<br />

splitter with reflectivity R=1<strong>and</strong><br />

transmitivity T= .<br />

Vacuum fluctuati<strong>on</strong>s are<br />

entering by the empty port.<br />

Calculati<strong>on</strong>s<br />

• We linearize the fluctuati<strong>on</strong>s :<br />

<strong>and</strong> obtain for a quadrature P:<br />

• We calculate the noise variance :<br />

=V’<br />

• The beam-splitter gives:<br />

=V<br />

=1 (shot)<br />

What is<br />

the noise<br />

after the<br />

loss?<br />

<strong>and</strong><br />

V’ goes to 1 (shot) for str<strong>on</strong>g losses ( =0), ok!<br />

Some illlustrative values…..<br />

V=0.1 (10dB squeezing)<br />

10% loss give:<br />

V’=0.2 (7dB squeezing)<br />

Squeezing is very<br />

sensitive to losses!<br />

=0 (uncorrelated)

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