Feedback policies for measurement-based quantum state manipulation

Shuangshuang Fu, Guodong Shi, Alexandre Proutiere, Matthew R. James

    Research output: Contribution to journalArticlepeer-review

    10 Citations (Scopus)

    Abstract

    In this paper, we propose feedback designs for manipulating a quantum state to a target state by performing sequential measurements. In light of Belavkin's quantum feedback control theory, for a given set of (projective or nonprojective) measurements and a given time horizon, we show that finding the measurement selection policy that maximizes the probability of successful state manipulation is an optimal control problem for a controlled Markovian process. The optimal policy is Markovian and can be solved by dynamical programming. Numerical examples indicate that making use of feedback information significantly improves the success probability compared to classical scheme without taking feedback. We also consider other objective functionals including maximizing the expected fidelity with the target state as well as minimizing the expected arrival time. The connections and differences among these objectives are also discussed.

    Original languageEnglish
    Article number062328
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume90
    Issue number6
    DOIs
    Publication statusPublished - 18 Dec 2014

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