Time optimal quantum control of mixed states

Alberto Carlini, Akio Hosoya, Tatsuhiko Koike, Yosuke Okudaira

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)


We formulate a variational principle for finding the time-optimal quantum evolution of mixed states governed by the master equation, when the Hamiltonian H and the Lindblad operators Lj are subject to certain constraints. We show that the problem can be reduced to solving first a fundamental equation (the “quantum brachistochrone”) for H(t), which can be written down once the constraints are specified, and then solving the constraints and the master equation for the Lj(t)s and the density operator ρ(t). As an application of our formalism, we analytically solve a simple one qubit model where the optimal Lindblad operators correspond either to a continuous Markovian measurement or to a decoherence process by the environment.

Original languageEnglish
Title of host publicationQuantum Bio-informatics
Subtitle of host publicationFrom Quantum Information To Bio-informatics
PublisherWorld Scientific Publishing Co.
Number of pages11
ISBN (Electronic)9789812793171
Publication statusPublished - 2008 Jan 1

ASJC Scopus subject areas

  • General Physics and Astronomy


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