Homodyne estimation of Gaussian quantum discord
R\'emi Blandino (LCF), Marco G. Genoni, Jean Etesse (LCF), Marco, Barbieri (LCF), Matteo G. A. Paris, Philippe Grangier (LCF), Rosa, Tualle-Brouri (LCF, IUF)

TL;DR
This paper presents a homodyne detection scheme combined with Bayesian analysis for estimating Gaussian quantum discord in two-mode squeezed thermal states, achieving near-optimal results with practical noise limitations.
Contribution
It introduces a measurement protocol that nearly reaches the quantum limit for Gaussian discord estimation using accessible homodyne detectors.
Findings
Near-optimal estimation for small discord values
Homodyne detection noise ratio limited to about 10 dB from quantum limit
Demonstrates practical measurement scheme for Gaussian quantum discord
Abstract
We address the experimental estimation of Gaussian quantum discord for two-mode squeezed thermal state, and demonstrate a measurement scheme based on a pair of homodyne detectors assisted by Bayesian analysis which provides nearly optimal estimation for small value of discord. Besides, though homodyne detection is not optimal for Gaussian discord, the noise ratio to the ultimate quantum limit, as dictacted by the quantum Cramer-Rao bound, is limited to about 10 dB.
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