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Phys. Rev. A 70, 052118 (2004) [7 pages]

Quantum-invariant processes in phase space

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Alfredo Luis*
Departamento de Óptica, Facultad de Ciencias Físicas, Universidad Complutense, 28040 Madrid, Spain

Received 6 June 2004; published 30 November 2004

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.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.70.052118
DOI:
10.1103/PhysRevA.70.052118
PACS:
03.65.Ca, 42.50.−p

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