Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions

Fuente: arXiv
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Autores principales: Mihailescu, George, Alushi, Uesli, Di Candia, Roberto, Felicetti, Simone, Gietka, Karol
Formato: Preprint
Publicado: 2025
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author Mihailescu, George
Alushi, Uesli
Di Candia, Roberto
Felicetti, Simone
Gietka, Karol
author_facet Mihailescu, George
Alushi, Uesli
Di Candia, Roberto
Felicetti, Simone
Gietka, Karol
contents Quantum phenomena offer the possibility of measuring physical quantities with precision beyond classical limits. However, current progress is constrained by scalability, environmental noise, and challenges in practical integration. This highlights the necessity for novel approaches. An emerging paradigm in this direction is critical quantum metrology -- which harnesses the enhanced susceptibility and nonclassical correlations naturally occurring near quantum phase transitions as resources for quantum-enhanced precision. This tutorial provides a pedagogical introduction to key concepts and a detailed overview of prominent quantum sensing strategies that exploit critical phenomena in metrology. Through examples of increasing complexity, the reader is guided through various critical quantum sensing protocols applied to different critical systems. Special emphasis is placed on the optimal scaling of estimation precision with respect to fundamental resources. Finally, we discuss how critical quantum metrology extends from idealized models to realistic open-system, dissipative regimes, and strongly correlated fermionic systems, outlining both the challenges and opportunities for future quantum technologies.
format Preprint
id arxiv_https___arxiv_org_abs_2510_02035
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
Mihailescu, George
Alushi, Uesli
Di Candia, Roberto
Felicetti, Simone
Gietka, Karol
Quantum Physics
Statistical Mechanics
Quantum phenomena offer the possibility of measuring physical quantities with precision beyond classical limits. However, current progress is constrained by scalability, environmental noise, and challenges in practical integration. This highlights the necessity for novel approaches. An emerging paradigm in this direction is critical quantum metrology -- which harnesses the enhanced susceptibility and nonclassical correlations naturally occurring near quantum phase transitions as resources for quantum-enhanced precision. This tutorial provides a pedagogical introduction to key concepts and a detailed overview of prominent quantum sensing strategies that exploit critical phenomena in metrology. Through examples of increasing complexity, the reader is guided through various critical quantum sensing protocols applied to different critical systems. Special emphasis is placed on the optimal scaling of estimation precision with respect to fundamental resources. Finally, we discuss how critical quantum metrology extends from idealized models to realistic open-system, dissipative regimes, and strongly correlated fermionic systems, outlining both the challenges and opportunities for future quantum technologies.
title Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
topic Quantum Physics
Statistical Mechanics
url https://arxiv.org/abs/2510.02035