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Open Quantum Systems Decoherence Quantum Foundations

Optimality of feedback control strategies for qubit purification

arXiv

Authors: Howard M. Wiseman, Luc Bouten

Year

2007

Paper ID

49620

Status

Preprint

Abstract Read

~2 min

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Abstract

Recently two papers \[K. Jacobs, Phys. Rev. A {\bf 67}, 030301(R) (2003); H. M. Wiseman and J. F. Ralph, New J. Physics {\bf 8}, 90 (2006)\] have derived control strategies for rapid purification of qubits, optimized with respect to various goals. In the former paper the proof of optimality was not mathematically rigorous, while the latter gave only heuristic arguments for optimality. In this paper we provide rigorous proofs of optimality in all cases, by applying simple concepts from optimal control theory, including Bellman equations and verification theorems.

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This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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Recently two papers [K.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0707.3001 [2] arXiv https://arxiv.org/abs/0707.3001 [3] Publisher https://arxiv.org/abs/0707.3001

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