Related papers: Quantum estimation of a time dependent perturbation

Quantum estimation of a time dependent perturbation

URL: http://arxiv.org/abs/2106.03101v1
Date: Sun, 6 Jun 2021 12:11:39 GMT
Title: Quantum estimation of a time dependent perturbation
Authors: Claus Normann Madsen, Lia Valdetaro, Klaus M{\o}lmer
Abstract summary: We analyze the estimation of a time dependent perturbation acting on a quantum system. We combine quantum measurement theory and classical filter theory into a time evolving hybrid quantum and classical trajectory.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We analyze the estimation of a time dependent perturbation acting on a continuously monitored quantum system. We describe the temporal fluctuations of the perturbation by a Hidden Markov Model, and we combine quantum measurement theory and classical filter theory into a time evolving hybrid quantum and classical trajectory. The forward-backward analysis that permits smoothed estimates of classical Hidden Markov Models has a counterpart in the theory of retrodiction and Past Quantum States. As a specific example, we apply our hybrid trajectory and Past Quantum State theory to the sensing of a fluctuating magnetic field by microwave interrogation of a single quantum spin.

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