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Time-local optimal control for parameter estimation in the Gaussian regime

Predko, A; Albarelli, F; Serafini, A; (2020) Time-local optimal control for parameter estimation in the Gaussian regime. Physics Letters A , 384 (13) , Article 126268. 10.1016/j.physleta.2020.126268. Green open access

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Abstract

Information about a classical parameter encoded in a quantum state can only decrease if the state undergoes a non-unitary evolution, arising from the interaction with an environment. However, instantaneous control unitaries may be used to mitigate the decrease of information caused by an open dynamics. A possible, locally optimal (in time) choice for such controls is the one that maximises the time-derivative of the quantum Fisher information (QFI) associated with a parameter encoded in an initial state. In this study, we focus on a single bosonic mode subject to a Markovian, thermal master equation, and determine analytically the optimal time-local control of the QFI for its initial squeezing angle (optical phase) and strength. We show that a single initial control operation is already optimal for such cases and quantitatively investigate situations where the op

Type: Article
Title: Time-local optimal control for parameter estimation in the Gaussian regime
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.physleta.2020.126268
Publisher version: https://doi.org/10.1016/j.physleta.2020.126268
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher's terms and conditions.
Keywords: Quantum control, Quantum estimation, Squeezing
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10109827
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