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Time optimal quantum evolution of mixed states

Alberto Carlini1, Akio Hosoya2, Tatsuhiko Koike3 and Yosuke Okudaira2

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We present a general formalism based on the variational principle for finding the time-optimal quantum evolution of mixed states governed by a master equation, when the Hamiltonian and the Lindblad operators are subject to certain constraints. The problem may be reduced to solving first a fundamental equation, which can be written down once the constraints are specified, for the Hamiltonian and then solving the constraints and the master equation for the Lindblad and the density operators. As an application of our formalism, we study a simple one-qubit model, where the optimal Lindblad operators can be simulated by a tunable coupling with an ancillary qubit.


PACS

03.65.Yz Decoherence; open systems; quantum statistical methods

03.67.Lx Quantum computation architectures and implementations

MSC

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

Subjects

Computational physics

Quantum information and quantum mechanics

Dates

Issue 4 (1 February 2008)

Received 2 October 2007, in final form 30 October 2007

Published 15 January 2008



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