Realization of quantum mechanical weak values of observables using entangled photons

Abstract

We present a scheme for realization of quantum mechanical weak values of observables using entangled photons produced in parametric down conversion. We consider the case when the signal and idler modes are respectively in a coherent state and vacuum. We use a low efficiency detector to detect the photons in the idler mode.This weak detection leads to a large displacement and fluctuations in the signal field's quantum state which can be studied by monitoring the photon number and quadrature distributions.

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• Manifestation of pointer state correlations in complex weak values of quantum observables
• Estimation of temporal separation of slow light pulses in atomic vapors by weak measurement
• Time Derivatives of Weak Values