Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection

The thermodynamic behavior of Markovian open quantum systems can be described at the level of fluctuations by using continuous monitoring approaches. However, practical applications require assessing imperfect detection schemes, where the definition of main thermodynamic quantities becomes subtle an...

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Main Authors: Mar Ferri-Cortés, José A. Almanza-Marrero, Rosa López, Roberta Zambrini, Gonzalo Manzano
Format: Article
Language:English
Published: American Physical Society 2025-01-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.7.013077
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author Mar Ferri-Cortés
José A. Almanza-Marrero
Rosa López
Roberta Zambrini
Gonzalo Manzano
author_facet Mar Ferri-Cortés
José A. Almanza-Marrero
Rosa López
Roberta Zambrini
Gonzalo Manzano
author_sort Mar Ferri-Cortés
collection DOAJ
description The thermodynamic behavior of Markovian open quantum systems can be described at the level of fluctuations by using continuous monitoring approaches. However, practical applications require assessing imperfect detection schemes, where the definition of main thermodynamic quantities becomes subtle and universal fluctuation relations are unknown. Here, we fill this gap by deriving a universal fluctuation relation that links thermodynamic entropy production and information-theoretical irreversibility along single trajectories in inefficient monitoring setups. This relation provides as a corollary an irreversibility estimator of dissipation using imperfect detection records that lower bounds the underlying entropy production at the level of visible trajectories. We illustrate our findings with a driven-dissipative two-level system following quantum jump trajectories and discuss the experimental applicability of our results for thermodynamic inference.
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institution Kabale University
issn 2643-1564
language English
publishDate 2025-01-01
publisher American Physical Society
record_format Article
series Physical Review Research
spelling doaj-art-49e77d46635e425384f931e345ef25592025-01-21T15:01:34ZengAmerican Physical SocietyPhysical Review Research2643-15642025-01-017101307710.1103/PhysRevResearch.7.013077Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detectionMar Ferri-CortésJosé A. Almanza-MarreroRosa LópezRoberta ZambriniGonzalo ManzanoThe thermodynamic behavior of Markovian open quantum systems can be described at the level of fluctuations by using continuous monitoring approaches. However, practical applications require assessing imperfect detection schemes, where the definition of main thermodynamic quantities becomes subtle and universal fluctuation relations are unknown. Here, we fill this gap by deriving a universal fluctuation relation that links thermodynamic entropy production and information-theoretical irreversibility along single trajectories in inefficient monitoring setups. This relation provides as a corollary an irreversibility estimator of dissipation using imperfect detection records that lower bounds the underlying entropy production at the level of visible trajectories. We illustrate our findings with a driven-dissipative two-level system following quantum jump trajectories and discuss the experimental applicability of our results for thermodynamic inference.http://doi.org/10.1103/PhysRevResearch.7.013077
spellingShingle Mar Ferri-Cortés
José A. Almanza-Marrero
Rosa López
Roberta Zambrini
Gonzalo Manzano
Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection
Physical Review Research
title Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection
title_full Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection
title_fullStr Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection
title_full_unstemmed Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection
title_short Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection
title_sort conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection
url http://doi.org/10.1103/PhysRevResearch.7.013077
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AT joseaalmanzamarrero conditionalfluctuationtheoremsandentropyproductionformonitoredquantumsystemsunderimperfectdetection
AT rosalopez conditionalfluctuationtheoremsandentropyproductionformonitoredquantumsystemsunderimperfectdetection
AT robertazambrini conditionalfluctuationtheoremsandentropyproductionformonitoredquantumsystemsunderimperfectdetection
AT gonzalomanzano conditionalfluctuationtheoremsandentropyproductionformonitoredquantumsystemsunderimperfectdetection