Quantum Limits on Parameter Estimation

Details Quantum Limits on Parameter Estimation Quantum Limits on Parameter Estimation

2010-01-26

arxiv.org/abs/1001.4804v1

Physics

Quantum Physics

Submitted to New Journal of Physics

Scientific paper

We present a new proof of the quantum Cramer-Rao bound for precision parameter estimation [1-3] and extend it to a more general class of measurement procedures. We analyze a generalized framework for parameter estimation that covers most experimentally accessible situations, where multiple rounds of measurements, auxiliary systems or external control of the evolution are available. The proof presented demonstrates the equivalence of these more general metrology procedures to the simplest optimal strategy for which the bound is proven: a single measurement of a two-level system interacting with a time-independent Hamiltonian.

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