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Quantum criticality as a resource for quantum estimation

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Zanardi, Paolo, Paris, Matteo G. A., Campos Venuti, Lorenzo·2008·Physical Review A

Abstract

We address quantum critical systems as a resource in quantum estimation and derive the ultimate quantum limits to the precision of any estimator of the coupling parameters. In particular, if $L$ denotes the size of a system and $\ensuremath{\lambda}$ is the relevant coupling parameters driving a quantum phase transition, we show that a precision improvement of order $1∕L$ may be achieved in the estimation of $\ensuremath{\lambda}$ at the critical point compared to the noncritical case. We show that analog results hold for temperature estimation in classical phase transitions. Results are illustrated by means of a specific example involving a fermion tight-binding model with pair creation (BCS model).

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Metadata

Authors
Zanardi, P., Paris, M. G. A., & Campos Venuti, L.
Venue
Physical Review A
Published
2008-10-09
Volume
78
Issue
4
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
OpenAlex
W2082725659
Cited by
314
References
5
FWCI
2.90
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Quantum criticality as a resource for quantum estimation. https://app.cochat.ai/papers/10.1103/physreva.78.042105
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Zanardi, P., Paris, M. G. A., & Campos Venuti, L. (2008). Quantum criticality as a resource for quantum estimation. Physical Review A. https://doi.org/10.1103/physreva.78.042105

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