Alberto Carlini et al 2008 J. Phys. A: Math. Theor. 41 045303 doi:10.1088/1751-8113/41/4/045303
Time optimal quantum evolution of mixed states
Alberto Carlini1, Akio Hosoya2, Tatsuhiko Koike3 and Yosuke Okudaira2
Show affiliationsWe 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
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03.65.Yz Decoherence; open systems; quantum statistical methods
03.67.Lx Quantum computation architectures and implementations
- MSC
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81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)
- Subjects
- Dates
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Issue 4 (1 February 2008)
Received 2 October 2007, in final form 30 October 2007
Published 15 January 2008
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Time optimal quantum evolution of mixed states
Alberto Carlini et al 2008 J. Phys. A: Math. Theor. 41 045303
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