Coupled Ito equations of continuous quantum state measurement and estimation

L. Diósi, Thomas Konrad, Artur Scherer, Jürgen Audretsch

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We discuss a nonlinear stochastic master equation that governs the time evolution of the estimated quantum state. Its differential evolution corresponds to the infinitesimal updates that depend on the time-continuous measurement of the true quantum state. The new stochastic master equation couples to the two standard stochastic differential equations of time-continuous quantum measurement. For the first time, we can prove that the calculated estimate almost always converges to the true state, also at low-efficiency measurements. We show that our single-state theory can be adapted to weak continuous ensemble measurements as well.

Original languageEnglish
Article numberL01
JournalJournal of Physics A: Mathematical and General
Volume39
Issue number40
DOIs
Publication statusPublished - Oct 6 2006

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Quantum State
Stochastic Equations
Master Equation
Continuous Time
Quantum Measurement
Differential Evolution
Ensemble
Update
Differential equation
Converge
Differential equations
differential equations
Estimate
estimates

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Coupled Ito equations of continuous quantum state measurement and estimation. / Diósi, L.; Konrad, Thomas; Scherer, Artur; Audretsch, Jürgen.

In: Journal of Physics A: Mathematical and General, Vol. 39, No. 40, L01, 06.10.2006.

Research output: Contribution to journalArticle

Diósi, L. ; Konrad, Thomas ; Scherer, Artur ; Audretsch, Jürgen. / Coupled Ito equations of continuous quantum state measurement and estimation. In: Journal of Physics A: Mathematical and General. 2006 ; Vol. 39, No. 40.
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