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Lectures on Quantum Optics and Quantum Information

Lectures on Quantum Optics and Quantum Information

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Q A<br />

Q<br />

<strong>Quantum</strong> C<strong>on</strong>tinuous-Variables<br />

Quantizati<strong>on</strong> of the electromagnetic field<br />

Modes are quantized harm<strong>on</strong>ic oscillators<br />

2 possible observables for the descripti<strong>on</strong>:<br />

Energy or Electric field<br />

P A<br />

P<br />

Squeezing<br />

One can have :<br />

“Noise<br />

reducti<strong>on</strong>”<br />

or “Squeezing”<br />

Discrete degree of freedom<br />

number of phot<strong>on</strong>s N=a + a<br />

(measured by phot<strong>on</strong> counting)<br />

C<strong>on</strong>tinuous degree of freedom<br />

quadratures P <strong>and</strong> Q<br />

(fluctuati<strong>on</strong>s measured by<br />

homodyning, photodiodes)<br />

Why using them?<br />

- Perfect detectors, high<br />

rates/b<strong>and</strong>width<br />

- Deterministic operati<strong>on</strong>s<br />

- N<strong>on</strong>-gaussian states/cluster<br />

states with many potential<br />

applicati<strong>on</strong>s in Q. computing<br />

<strong>and</strong> communicati<strong>on</strong>

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