Time-optimal quantum evolution

Alberto Carlini, Akio Hosoya, Tatsuhiko Koike, Yosuke Okudaira

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Abstract

We present a general framework for finding the time-optimal evolution and the optimal Hamiltonian for a quantum system with a given set of initial and final states. Our formulation is based on the variational principle and is analogous to that for the brachistochrone in classical mechanics. We reduce the problem to a formal equation for the Hamiltonian which depends on certain constraint functions specifying the range of available Hamiltonians. For some simple examples of the constraints, we explicitly find the optimal solutions.

Original languageEnglish
Article number060503
JournalPhysical review letters
Volume96
Issue number6
DOIs
Publication statusPublished - 2006 Jan 1

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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