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Multi-mode Gaussian State Analysis with one Bounded Photon Counter

Published

Author(s)

Arik Avagyan, Emanuel Knill, Scott Glancy

Abstract

Gaussian states are ubiquitous in quantum optics and information processing, and it is essential to have effective tools for their characterization. One such tool is a photon-number-resolving detector, and the simplest configuration involves counting the total number of photons in the state to be characterized. This motivates the following question: What properties of a multi-mode Gaussian state are determined by the signal from one detector that measures total number photons up to some bound? We find that if the Gaussian state occupies S modes and the probabilities of $n$ photons for all n <= 8S are known, then we can determine the spectrum of the Gaussian covariance matrix and the magnitude of the displacements in each eigenspace of the covariance matrix. Nothing more can be learned, even if all photon-number probabilities are known. When the state is pure, the covariance matrix spectrum determines the squeezing parameters of the state.
Citation
Physical Review Letters
Volume
111

Citation

Avagyan, A. , Knill, E. and Glancy, S. (2025), Multi-mode Gaussian State Analysis with one Bounded Photon Counter, Physical Review Letters, [online], https://doi.org/10.1103/PhysRevA.111.033713, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=957765 (Accessed December 11, 2025)

Issues

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Created March 25, 2025, Updated December 9, 2025
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