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Main Authors: Bresque, Léa, Das, Debraj, Roldán, Édgar
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2410.18783
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author Bresque, Léa
Das, Debraj
Roldán, Édgar
author_facet Bresque, Léa
Das, Debraj
Roldán, Édgar
contents We introduce a single-qubit quantum measurement engine fuelled by backaction energy input. To reduce energetic costs associated with information processing, the measurement outcomes are only used with a prescribed laziness probability in the feedback step. As a result, we show that the work extracted over consecutive cycles is a second-order Markov process, analogous to a run-and-tumble process with transient anomalous diffusion. We derive exact analytical expressions for the work finite-time moments and first-passage-time statistics. Furthermore, we find the optimal laziness probability maximizing the mean power extracted per cycle.
format Preprint
id arxiv_https___arxiv_org_abs_2410_18783
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Run-and-tumble exact work statistics in a lazy quantum measurement engine: stochastic information processing
Bresque, Léa
Das, Debraj
Roldán, Édgar
Quantum Physics
Statistical Mechanics
We introduce a single-qubit quantum measurement engine fuelled by backaction energy input. To reduce energetic costs associated with information processing, the measurement outcomes are only used with a prescribed laziness probability in the feedback step. As a result, we show that the work extracted over consecutive cycles is a second-order Markov process, analogous to a run-and-tumble process with transient anomalous diffusion. We derive exact analytical expressions for the work finite-time moments and first-passage-time statistics. Furthermore, we find the optimal laziness probability maximizing the mean power extracted per cycle.
title Run-and-tumble exact work statistics in a lazy quantum measurement engine: stochastic information processing
topic Quantum Physics
Statistical Mechanics
url https://arxiv.org/abs/2410.18783