Coupled Ito equations of continuous quantum state measurement, and estimation

Details Coupled Ito equations of continuous quantum state measurement, and estimation Coupled Ito equations of continuous quantum state measurement, and estimation

2006-08-11

arxiv.org/abs/quant-ph/0608097v2

J. Phys. A: Math. Gen. 39 (2006) L575-L581

Physics

Quantum Physics

5 pages, RevTeX4. In version v2 some minor revisions and clarifications have been incorporated. Moreover, a new reference has

Scientific paper

10.1088/0305-4470/39/40/L01

We discuss a non-linear stochastic master equation that governs the time-evolution of the estimated quantum state. Its differential evolution corresponds to the infinitesimal updates that depend on the time-continuous measurement of the true quantum state. The new stochastic master equation couples to the two standard stochastic differential equations of time-continuous quantum measurement. For the first time, we can prove that the calculated estimate almost always converges to the true state, also at low-efficiency measurements. We show that our single-state theory can be adapted to weak continuous ensemble measurements as well.

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