Helstrom Bound for Squeezed Coherent States in Binary Communication

Evaldo M F Curado; Sofiane Faci; Jean-Pierre Gazeau; Diego Noguera

doi:10.3390/e24020220

Helstrom Bound for Squeezed Coherent States in Binary Communication

Entropy (Basel). 2022 Jan 31;24(2):220. doi: 10.3390/e24020220.

Authors

Evaldo M F Curado^{1

2}, Sofiane Faci^{1

3}, Jean-Pierre Gazeau^{1

4}, Diego Noguera¹

Affiliations

¹ Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, Rio de Janeiro 22290-180, Brazil.
² National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, Rio de Janeiro 22290-180, Brazil.
³ Instituto de Humanidades e Saúde/Departamento de Ciências da Natureza, Universidade Federal Fluminense, Rio das Ostras 28895-532, Brazil.
⁴ CNRS, Astroparticule et Cosmologie, Université de Paris, F-75013 Paris, France.

Abstract

In quantum information processing, using a receiver device to differentiate between two non-orthogonal states leads to a quantum error probability. The minimum possible error is known as the Helstrom bound. In this work, we study the conditions for state discrimination using an alphabet of squeezed coherent states and compare them with conditions using the Glauber-Sudarshan, i.e., standard, coherent states.

Keywords: Helstrom bound; coherent states; squeezed states.