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Phys. Rev. A 72, 062315 (2005) [8 pages]

Phase-space contraction and quantum operations

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Ignacio García-Mata1,*, Marcos Saraceno1,2, María Elena Spina1, and Gabriel Carlo3
1Departamento de Física, Comisión Nacional de Energía Atómica. Av del Libertador 8250 (1429), Buenos Aires, Argentina
2Escuela de Ciencia y Tecnología, Universidad Nacional de San Martín. Alem 3901 (B1653HIM), Villa Ballester, Argentina
3Center for Nonlinear and Complex Systems, Università degli Studi dell’Insubria and Instituto Nazionale per la Fisica della Materia, Unità di Como, Via Valleggio 11, 22100 Como, Italy

Received 25 August 2005; published 9 December 2005

We give a criterion to differentiate between dissipative and diffusive quantum operations. It is based on the classical idea that dissipative processes contract volumes in phase space. We define a quantity that can be regarded as “quantum phase space contraction rate” and which is related to a fundamental property of quantum channels: nonunitality. We relate it to other properties of the channel and also show a simple example of dissipative noise composed with a chaotic map. The emergence of attractor-like structures is displayed.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.062315
DOI:
10.1103/PhysRevA.72.062315
PACS:
03.67.Lx, 03.65.Ca, 03.65.Yz, 05.45.Mt

*Corresponding author. Electronic address: garciama@tandar.cnea.gov.ar