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

Abstract

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.

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

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• Nonclassical Nature of Dispersion Cancellation and Nonlocal Interferometry
• Conveyor belt clock synchronization
• Nonlocality test of energy-time entanglement via nonlocal dispersion cancellation with nonlocal detection
• Lack of dispersion cancellation with classical phase-sensitive light
• Nonlocal subpicosecond delay metrology using spectral quantum interference