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Quantum Physics

arXiv:1410.6579 (quant-ph)
[Submitted on 24 Oct 2014]

Title:Feedback Policies for Measurement-based Quantum State Manipulation

Authors:Shuangshuang Fu, Guodong Shi, Alexandre Proutiere, Matthew R. James
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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 non-projective) 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 to the target state as well as minimizing the expected arrival time. The connections and differences among these objectives are also discussed.
Subjects: Quantum Physics (quant-ph)
Cite as: arXiv:1410.6579 [quant-ph]
  (or arXiv:1410.6579v1 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.1410.6579
Related DOI: https://doi.org/10.1103/PhysRevA.90.062328

Submission history

From: Guodong Shi [view email]
[v1] Fri, 24 Oct 2014 05:35:34 UTC (709 KB)
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