preprintPhysical Review LettersJan 14, 2026GREEN OA

Optimal Quantum Algorithm for Gibbs State Preparation

CRCambyse RouzéDSDaniel Stilck FrançaÁMÁlvaro M. Alhambra

École Polytechnique · Centre Inria de Saclay · +7 more institutions

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Abstract

It is of great interest to understand the thermalization of open quantum many-body systems, and how quantum computers are able to efficiently simulate that process. A recently introduced dissipative evolution, inspired by existing models of open system thermalization, has been shown to be efficiently implementable on a quantum computer. Here, we prove that, at high enough temperatures, this evolution reaches the Gibbs state in time scaling logarithmically with system size. The result holds for Hamiltonians that satisfy the Lieb-Robinson bound, such as local Hamiltonians on a lattice, and includes long-range systems. To the best of our knowledge, these are the first results rigorously establishing the rapid…

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5
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Topics & keywords

Topics
Keywords
  • Thermalisation
  • Quantum
  • Statistical physics
  • Gibbs state
  • Scaling
  • Quantum system
  • Partition (number theory)
  • Lattice (music)
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