25 April 2007 Practical quantum interferometry using photonic N00N states
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Abstract
We study the phase estimation abilites of photonic N00N states, propagating in an attenuating medium, is analyzed. It is shown that N00N states of a given number of enangled photons N, never achieve the 1/N Heisenberg limit if the propagation occurs through lossy medium. It is also shown that a signal comprised of an attenuated separable state of N photons will actually produce a better phase estimate than a signal comprised of an equally attenuated N00N state unless the transmittance of the medium is very high. Thus, for most practical applications in realistic scenarios with attenuation, the resolution of N00N state-based phase estimation not only does not achieve the Heisenberg Limit, but is actually worse than the 1/(square root of)N Standard Quantum Limit. This performance deficit becomes more pronounced as the number, N, of photons in the signal increases.
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Gerald Gilbert, Gerald Gilbert, Michael Hamrick, Michael Hamrick, Yaakov S. Weinstein, Yaakov S. Weinstein, } "Practical quantum interferometry using photonic N00N states", Proc. SPIE 6573, Quantum Information and Computation V, 65730K (25 April 2007); doi: 10.1117/12.719896; https://doi.org/10.1117/12.719896
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