Optimality of feedback control strategies for qubit purification

Details Optimality of feedback control strategies for qubit purification Optimality of feedback control strategies for qubit purification

2007-07-20

arxiv.org/abs/0707.3001v2

Quantum Information Processing 7 (2008) 71-83

Physics

Quantum Physics

6 pages. very minor improvements

Scientific paper

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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