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- W3009302287 abstract "This is a tutorial aimed at illustrating some recent developments in quantum parameter estimation beyond the Cramer-Rao bound, as well as their applications in quantum metrology. Our starting point is the observation that there are situations in classical and quantum metrology where the unknown parameter of interest, besides determining the state of the probe, is also influencing the operation of the measuring devices, e.g. the range of possible outcomes. In those cases, non-regular statistical models may appear, for which the Cramer-Rao theorem does not hold. In turn, the achievable precision may exceed the Cramer-Rao bound, opening new avenues for enhanced metrology. We focus on quantum estimation of Hamiltonian parameters and show that an achievable bound to precision (beyond the Cramer-Rao) may be obtained in a closed form for the class of so-called controlled energy measurements. Examples of applications of the new bound to various estimation problems in quantum metrology are worked out in some details." @default.
- W3009302287 created "2020-03-13" @default.
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- W3009302287 date "2020-03-05" @default.
- W3009302287 modified "2023-09-27" @default.
- W3009302287 title "Quantum enhanced metrology of Hamiltonian parameters beyond the Cram`er-Rao bound" @default.
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