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Sub-shot noise sensitivities without entanglement

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arxiv 1109.0206 v1 pith:M7XHTGGN submitted 2011-09-01 quant-ph cond-mat.mes-hallcond-mat.quant-gas

Sub-shot noise sensitivities without entanglement

classification quant-ph cond-mat.mes-hallcond-mat.quant-gas
keywords statesbosonicbosonstwo-modeentanglementlimitnoisenumber
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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It is commonly maintained that entanglement is necessary to beat the shot noise limit in the sensitivity with which certain parameters can be measured in interferometric experiments. Here we show that, with a fluctuating number of two-mode bosons, the shot-noise limit can be beaten by non-entangled bosonic states with all bosons in one mode. For a given finite maximum number of bosons, we calculate the optimal one- and two-mode bosonic states, and show that in the absence of losses, NOON states are the optimal two-mode bosonic states.

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    Modal structure, photon statistics, and bosonic/phase symmetries jointly determine the usable resources for photonic quantum information and metrology, with explicit gains and limits for time-frequency, HOM, and SSR settings.