Time-optimal quantum evolution

Alberto Carlini, Akio Hosoya, Tatsuhiko Koike, Yosuke Okudaira

Research output: Contribution to journalArticle

163 Citations (Scopus)

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

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classical mechanics
variational principles
formulations

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Time-optimal quantum evolution. / Carlini, Alberto; Hosoya, Akio; Koike, Tatsuhiko; Okudaira, Yosuke.

In: Physical Review Letters, Vol. 96, No. 6, 060503, 2006.

Research output: Contribution to journalArticle

Carlini, A, Hosoya, A, Koike, T & Okudaira, Y 2006, 'Time-optimal quantum evolution', Physical Review Letters, vol. 96, no. 6, 060503. https://doi.org/10.1103/PhysRevLett.96.060503
Carlini, Alberto ; Hosoya, Akio ; Koike, Tatsuhiko ; Okudaira, Yosuke. / Time-optimal quantum evolution. In: Physical Review Letters. 2006 ; Vol. 96, No. 6.
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