Time optimal quantum evolution of mixed states

Alberto Carlini, Akio Hosoya, Tatsuhiko Koike, Yosuke Okudaira

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

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
Volume41
Issue number4
DOIs
Publication statusPublished - 2008 Feb 1

Fingerprint

Hamiltonians
Mixed State
Master Equation
Qubit
operators
formalism
Mathematical operators
Density Operator
variational principles
Operator
Variational Principle
Model

ASJC Scopus subject areas

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

Cite this

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

In: Journal of Physics A: Mathematical and Theoretical, Vol. 41, No. 4, 045303, 01.02.2008.

Research output: Contribution to journalArticle

Carlini, Alberto ; Hosoya, Akio ; Koike, Tatsuhiko ; Okudaira, Yosuke. / Time optimal quantum evolution of mixed states. In: Journal of Physics A: Mathematical and Theoretical. 2008 ; Vol. 41, No. 4.
@article{7f63aa916249414da0a6f4e77aaef079,
title = "Time optimal quantum evolution of mixed states",
abstract = "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.",
author = "Alberto Carlini and Akio Hosoya and Tatsuhiko Koike and Yosuke Okudaira",
year = "2008",
month = "2",
day = "1",
doi = "10.1088/1751-8113/41/4/045303",
language = "English",
volume = "41",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "4",

}

TY - JOUR

T1 - Time optimal quantum evolution of mixed states

AU - Carlini, Alberto

AU - Hosoya, Akio

AU - Koike, Tatsuhiko

AU - Okudaira, Yosuke

PY - 2008/2/1

Y1 - 2008/2/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=43049113534&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=43049113534&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/41/4/045303

DO - 10.1088/1751-8113/41/4/045303

M3 - Article

AN - SCOPUS:43049113534

VL - 41

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 4

M1 - 045303

ER -