Quantum algorithms for cooling: A simple case study

Preparation of low-energy quantum many-body states has a wide range of applications in quantum information processing and condensed-matter physics. Quantum cooling algorithms offer a promising alternative to other methods based, for instance, on variational and adiabatic principles, or on dissipativ...

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Main Authors: Daniel Molpeceres, Sirui Lu, J. Ignacio Cirac, Barbara Kraus
Format: Article
Language:English
Published: American Physical Society 2025-08-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/4hx7-xnhw
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author Daniel Molpeceres
Sirui Lu
J. Ignacio Cirac
Barbara Kraus
author_facet Daniel Molpeceres
Sirui Lu
J. Ignacio Cirac
Barbara Kraus
author_sort Daniel Molpeceres
collection DOAJ
description Preparation of low-energy quantum many-body states has a wide range of applications in quantum information processing and condensed-matter physics. Quantum cooling algorithms offer a promising alternative to other methods based, for instance, on variational and adiabatic principles, or on dissipative state preparation. In this work, we investigate a set of cooling algorithms in a simple, solvable fermionic model that allows us to identify the mechanisms that underlie the cooling process and, also, those that prevent it. We derive analytical expressions for the cooling dynamics, steady states, and cooling rates in the weak-coupling limit. We find that multifrequency and randomized cycle strategies can significantly enhance the performance of the quantum algorithm and circumvent some of the obstacles. We also analyze the effects of noise and evaluate the conditions under which cooling remains feasible. Furthermore, we present optimized cooling protocols that can significantly enhance cooling performance in the presence of noise. Additionally, we compare cooling and dissipative state preparation and show that, in the model analyzed here, cooling generally achieves lower energies and is more resilient to noise.
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spelling doaj-art-6f226ea42dec4e00b34df731c62ebc6e2025-08-20T03:03:25ZengAmerican Physical SocietyPhysical Review Research2643-15642025-08-017303316210.1103/4hx7-xnhwQuantum algorithms for cooling: A simple case studyDaniel MolpeceresSirui LuJ. Ignacio CiracBarbara KrausPreparation of low-energy quantum many-body states has a wide range of applications in quantum information processing and condensed-matter physics. Quantum cooling algorithms offer a promising alternative to other methods based, for instance, on variational and adiabatic principles, or on dissipative state preparation. In this work, we investigate a set of cooling algorithms in a simple, solvable fermionic model that allows us to identify the mechanisms that underlie the cooling process and, also, those that prevent it. We derive analytical expressions for the cooling dynamics, steady states, and cooling rates in the weak-coupling limit. We find that multifrequency and randomized cycle strategies can significantly enhance the performance of the quantum algorithm and circumvent some of the obstacles. We also analyze the effects of noise and evaluate the conditions under which cooling remains feasible. Furthermore, we present optimized cooling protocols that can significantly enhance cooling performance in the presence of noise. Additionally, we compare cooling and dissipative state preparation and show that, in the model analyzed here, cooling generally achieves lower energies and is more resilient to noise.http://doi.org/10.1103/4hx7-xnhw
spellingShingle Daniel Molpeceres
Sirui Lu
J. Ignacio Cirac
Barbara Kraus
Quantum algorithms for cooling: A simple case study
Physical Review Research
title Quantum algorithms for cooling: A simple case study
title_full Quantum algorithms for cooling: A simple case study
title_fullStr Quantum algorithms for cooling: A simple case study
title_full_unstemmed Quantum algorithms for cooling: A simple case study
title_short Quantum algorithms for cooling: A simple case study
title_sort quantum algorithms for cooling a simple case study
url http://doi.org/10.1103/4hx7-xnhw
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AT jignaciocirac quantumalgorithmsforcoolingasimplecasestudy
AT barbarakraus quantumalgorithmsforcoolingasimplecasestudy