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Conference on Lasers and Electro-Optics

Generation of Cat and Comb States by Homodyne Heralding towards a Loophole-Free Bell Test

Jean Etesse, Rémi Blandino, Bhaskar Kanseri, Rosa Tualle-Brouri

Published Jan 1, 2013• 0 citations
Publisher

Abstract

We propose here a simple protocol that enables the generation of both optical Schrödinger cat states with arbitrary size, and quadrature “comb states”. This protocol uses single photon Fock states and quadrature measurements only. We show that the quantum properties of these states can be exploited to realize a loophole-free Bell violation with inefficient homodyne detectors, as they can be very robust against losses.

DOI
10.1364/cleo_qels.2013.qth5b.3

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Passing a photon number state through a balanced beam splitter will produce an entangled state in which the phases of the two output beams are highly correlated. This entangled state can be viewed as a generalized form of a Schr\"odinger cat state where there is an equal probability amplitude for all possible phases. We show that Bell's inequality can be violated using this entangled state and two distant measuring devices that consist of a single-photon interferometer with a Kerr medium in one path, a set of single-photon detectors, and postselection based on a homodyne measurement. These entangled states are sensitive to photon loss and a violation of Bell's inequality requires either that the losses are inherently small or that their effects have been minimized using linear optics techniques [Micuda et al., Phys. Rev. Lett. 109, 180503 (2012)]. Somewhat surprisingly, the use of the fair sampling assumption is not required for a violation of Bell's inequality despite the use of postselection if the measurements are made in the correct order.