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Mixed discrete-variable Gaussian states

Nicolae Cotfas*

  • Department of Physics, University of Bucharest, P.O. Box MG-11, 077125 Bucharest, Romania

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Phys. Rev. A 107, 052215 – Published 22 May, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.052215

Abstract

The quantum systems with finite-dimensional Hilbert space have several applications and are intensively explored theoretically and experimentally. The mathematical description of these systems follows the analogy with the usual infinite-dimensional case. There exist finite versions for most of the elements used in the continuous case, but here we provide a finite version corresponding to the mixed Gaussian states. Our aim is to fill this gap. The definition we propose for the mixed discrete Gaussian states is based on the explicit formulas we have obtained in the case of pure discrete-variable Gaussian states.

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Outline

Information

Phys. Rev. A 107, 052215– Published 22 May, 2023
  • Received 9 December 2022
  • Revised 10 March 2023
  • Accepted 1 May 2023
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