Qubit feedback and control with kicked quantum nondemolition measurements: A quantum Bayesian analysis

Details Qubit feedback and control with kicked quantum nondemolition measurements: A quantum Bayesian analysis Qubit feedback and control with kicked quantum nondemolition measurements: A quantum Bayesian analysis

2006-06-27

arxiv.org/abs/cond-mat/0606676v1

Phys. Rev. B 74, 085307 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, 3 figures

Scientific paper

10.1103/PhysRevB.74.085307

The informational approach to continuous quantum measurement is derived from POVM formalism for a mesoscopic scattering detector measuring a charge qubit. Quantum Bayesian equations for the qubit density matrix are derived, and cast into the form of a stochastic conformal map. Measurement statistics are derived for kicked quantum nondemolition measurements, combined with conditional unitary operations. These results are applied to derive a feedback protocol to produce an arbitrary pure state after a weak measurement, as well as to investigate how an initially mixed state becomes purified with and without feedback.

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