Time optimal quantum control of mixed states

Alberto Carlini, Akio Hosoya, Tatsuhiko Koike, Yosuke Okudaira

研究成果: Chapter

1 被引用数 (Scopus)

抄録

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.

本文言語English
ホスト出版物のタイトルQuantum Bio-informatics
ホスト出版物のサブタイトルFrom Quantum Information To Bio-informatics
出版社World Scientific Publishing Co.
ページ53-63
ページ数11
ISBN(電子版)9789812793171
DOI
出版ステータスPublished - 2008 1月 1

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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