{ "id": "1511.06650", "version": "v1", "published": "2015-11-20T15:45:29.000Z", "updated": "2015-11-20T15:45:29.000Z", "title": "Estimation of covariance matrix of macroscopic quantum states", "authors": [ "László Ruppert", "Vladyslav C. Usenko", "Radim Filip" ], "comment": "9 pages, 6 figures", "categories": [ "quant-ph" ], "abstract": "For systems analogous to a linear harmonic oscillator, the simplest way to characterize the state is by a covariance matrix containing the symmetrically-ordered moments of position and momentum. We show that without direct access to either position or momentum, the estimation of the covariance matrix of non-classical states is still possible using interference with a classical noisy and low- intensity reference and linear detection of energy. Such a detection technique will allow to estimate macroscopic quantum states of electromagnetic radiation without a coherent high-intensity local oscillator. It can be directly applied to estimate the covariance matrix of macroscopically bright squeezed states of light.", "revisions": [ { "version": "v1", "updated": "2015-11-20T15:45:29.000Z" } ], "analyses": { "keywords": [ "covariance matrix", "estimation", "estimate macroscopic quantum states", "coherent high-intensity local oscillator", "linear harmonic oscillator" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }