Dispersion cancellation and non-classical noise reduction for large photon-number states

Details Dispersion cancellation and non-classical noise reduction for large photon-number states Dispersion cancellation and non-classical noise reduction for large photon-number states

2002-01-17

arxiv.org/abs/quant-ph/0201075v2

Phys. Rev. A 65 (2002) 053809

Physics

Quantum Physics

8 pages, 4 figures, REVTeX 4, submitted to Phys. Rev. A, v2: minor changes in response to referee report, fig3 fixed

Scientific paper

10.1103/PhysRevA.65.053809

Nonlocal dispersion cancellation is generalized to frequency-entangled states with large photon number N. We show that the same entangled states can simultaneously exhibit a factor of 1/sqrt(N) reduction in noise below the classical shot noise limit in precise timing applications, as was previously suggested by Giovannetti, Lloyd and Maccone (Nature v412 (2001) p417). The quantum-mechanical noise reduction can be destroyed by a relatively small amount of uncompensated dispersion and entangled states of this kind have larger timing uncertainties than the corresponding classical states in that case. Similar results were obtained for correlated states, anti-correlated states, and frequency-entangled coherent states, which shows that these effects are a fundamental result of entanglement.

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