Time optimal quantum evolution of mixed states

Alberto Carlini, Akio Hosoya, Tatsuhiko Koike, Yosuke Okudaira

Research output: Contribution to journalArticlepeer-review

39 Citations (Scopus)


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.

Original languageEnglish
Article number045303
JournalJournal of Physics A: Mathematical and Theoretical
Issue number4
Publication statusPublished - 2008 Feb 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)


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