期刊
PHYSICAL REVIEW LETTERS
卷 108, 期 23, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.108.230401
关键词
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资金
- Singapore National Research Foundation under NRF [NRF-NRFF2011-07]
I propose quantum versions of the Ziv-Zakai bounds as alternatives to the widely used quantum Cramer-Rao bounds for quantum parameter estimation. From a simple form of the proposed bounds, I derive both a Heisenberg error limit that scales with the average energy and a limit similar to the quantum Cramer-Rao bound that scales with the energy variance. These results are further illustrated by applying the bound to a few examples of optical phase estimation, which show that a quantum Ziv-Zakai bound can be much higher and thus tighter than a quantum Cramer-Rao bound for states with highly non-Gaussian photon-number statistics in certain regimes and also stay close to the latter where the latter is expected to be tight.
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