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AIP conference proceedings

Proposal for loophole-free Bell test using homodyne detection

R. García-Patrón

Published Jan 1, 2004• 14 citations
Publisher

Abstract

We propose a feasible optical setup allowing for a loophole‐free Bell test with efficient homodyne detection. A non‐Gaussian entangled state is generated from a two‐mode squeezed vacuum by subtracting a single photon from each mode, using beam splitters and standard low‐efficiency single‐photon detectors. A Bell violation exceeding 1% is achievable with 6 dB of squeezing, a photodetector efficiency around 10%, and an homodyne efficiency around 95%. A feasibility analysis, based upon the recent generation of single‐mode non‐Gaussian states via photon subtraction, suggests that this method opens a promising avenue towards a complete experimental Bell test.

DOI
10.1063/1.1834431

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We propose a feasible optical setup allowing for a loophole‐free Bell test with efficient homodyne detection. A non‐Gaussian entangled state is generated from a two‐mode squeezed vacuum by subtracting a single photon from each mode, using beam splitters and standard low‐efficiency single‐photon detectors. A Bell violation exceeding 1% is achievable with 6 dB of squeezing, a photodetector efficiency around 10%, and an homodyne efficiency around 95%. A feasibility analysis, based upon the recent generation of single‐mode non‐Gaussian states via photon subtraction, suggests that this method opens a promising avenue towards a complete experimental Bell test.
We propose a feasible optical setup allowing for a loophole-free Bell test with efficient homodyne detection. A non-Gaussian entangled state is generated from a two-mode squeezed vacuum by subtracting a single photon from each mode, using beam splitters and standard low-efficiency single-photon detectors. A Bell violation exceeding 1% is achievable with 6 dB squeezed light and a homodyne efficiency around 95%. A detailed feasibility analysis, based upon the recent experimental generation of single-mode non-Gaussian states, suggests that this method opens a promising avenue towards a complete experimental Bell test.
We provide a detailed analysis of the recently proposed setup for a loophole-free test of Bell inequality violation using conditionally generated non-Gaussian states of light and balanced homodyning. In the proposed scheme, a two-mode squeezed vacuum state is de-Gaussified by subtracting a single photon from each mode with the use of an unbalanced beam splitter and a standard low-efficiency single-photon detector. We thoroughly discuss the tolerance of the achievable Bell violation in the various experimentally relevant parameters such as the detector efficiencies, the electronic noise, the mixedness of the initial Gaussian state, and the probability of false triggers. We also consider several alternative schemes involving squeezed states, linear optical elements, conditional photon subtraction, and homodyne detection.
It is shown that a loophole-free Bell test can be achieved using continuous variables of light. A feasible optical setup is proposed for this purpose, based on a non-Gaussian state of light and high-efficiency homodyne detectors. The non-Gaussian entangled state can be generated from a two-mode squeezed vacuum state by subtracting a single photon from each mode using beam splitters and standard low-efficiency single-photon detectors. A Bell violation exceeding 1% can be attained with 6 dB squeezed light and an homodyne efficiency around 95%. A detailed feasibility analysis, including the effect of the detector efficiency, the electronic noise, the impurity of the non-Gaussian state, and the probability of false triggers, suggests that this method opens a promising avenue towards a complete experimental Bell test.
We present a scheme that produces a conditionally prepared state that can be used for a Bell test based on homodyne detection. The state is near optimal for Bell-inequality violations based on quadrature-phase homodyne measurements that use correlated photon-number states. The scheme utilizes a Gaussian entanglement distillation protocol and uses only beam splitters and photodetection to conditionally prepare a non-Gaussian state from a source of two-mode squeezed states with low squeezing parameter.