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Path integral for quantum operations

Vasily E Tarasov

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In this paper we consider a phase space path integral for general time-dependent quantum operations, not necessarily unitary. We obtain the path integral for a completely positive quantum operation satisfied Lindblad equation (quantum Markovian master equation). We consider the path integral for quantum operation with a simple infinitesimal generator.


PACS

03.67.Lx Quantum computation architectures and implementations

02.30.Rz Integral equations

02.50.Ga Markov processes

MSC

81S40 Path integrals (See also 58D30)

81S30 Phase space methods including Wigner distributions, etc.

81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)

Subjects

Mathematical physics

Computational physics

Quantum information and quantum mechanics

Dates

Issue 9 (5 March 2004)

Received 5 August 2003

Published 18 February 2004



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