Quantum-invariant processes in phase space

Alfredo Luis
Phys. Rev. A 70, 052118 – Published 30 November 2004

Abstract

We show the formal equivalence between the phase-space representations of transformations and quantum states. We study invariant quantum input-output transformations in phase space and in Hilbert space. We show that all invariant processes are linear transformations while the converse is not true. Some relevant examples of application of these ideas are examined.

  • Received 6 June 2004

DOI:https://doi.org/10.1103/PhysRevA.70.052118

©2004 American Physical Society

Authors & Affiliations

Alfredo Luis*

  • Departamento de Óptica, Facultad de Ciencias Físicas, Universidad Complutense, 28040 Madrid, Spain

  • *Electronic address: alluis@fis.ucm.es; URL: http:∕∕www.ucm.es∕info∕gioq

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Issue

Vol. 70, Iss. 5 — November 2004

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