Cost-effective temperature estimation strategies for thermal states with probabilistic quantum metrology

• URL: http://arxiv.org/abs/2111.05285v1
• Date: Tue, 9 Nov 2021 17:28:43 GMT
• Title: Cost-effective temperature estimation strategies for thermal states with probabilistic quantum metrology
• Authors: Massimo Frigerio and Stefano Olivares and Matteo G. A. Paris
• Abstract summary: In probabilistic quantum metrology, one aims at finding weak measurements that concentrate the Fisher Information on the resulting quantum states, post-selected. We propose a post-selection protocol achieving this goal based on single-photon subtraction onto a thermal state of radiation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In probabilistic quantum metrology, one aims at finding weak measurements that concentrate the Fisher Information on the resulting quantum states, post-selected according to the weak outcomes. Though the Quantum Cram\'er-Rao bound itself cannot be overshot this way, it could be possible to improve the information-cost ratio, or even the total Fisher Information. We propose a post-selection protocol achieving this goal based on single-photon subtraction onto a thermal state of radiation yielding a greater information-cost ratio for the temperature parameter with respect to the standard strategy required to achieve the Quantum Cram\'er-Rao bound. We address just fully-classical states of radiation: this contrasts with (but does not contradict) a recent result proving that, concerning unitary quantum estimation problems, post-selection strategies can outperform direct measurement protocols only if a particular quasiprobability associated with the family of parameter-dependent quantum states becomes negative, a clear signature of nonclassicality.

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