Physics – Quantum Physics
Scientific paper
2009-07-29
Phys. Rev. A 84, 052119 (2011)
Physics
Quantum Physics
6 figures, 13 pages
Scientific paper
10.1103/PhysRevA.84.052119
In this paper we consider the problem of tracking the state of a quantum system via a continuous measurement. If the system Hamiltonian is known precisely, this merely requires integrating the appropriate stochastic master equation. However, even a small error in the assumed Hamiltonian can render this approach useless. The natural answer to this problem is to include the parameters of the Hamiltonian as part of the estimation problem, and the full Bayesian solution to this task provides a state-estimate that is robust against uncertainties. However, this approach requires considerable computational overhead. Here we consider a single qubit in which the Hamiltonian contains a single unknown parameter. We show that classical frequency estimation techniques greatly reduce the computational overhead associated with Bayesian estimation and provide accurate estimates for the qubit frequency
Hill Charles D.
Jacobs Kurt
Ralph Jason F.
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