A Dobrushin Condition for Quantum Markov Chains: Rapid Mixing and Conditional Mutual Information at High Temperature
A central challenge in quantum physics is to understand the structural properties of many-body systems, both in equilibrium and out of equilibrium. For classical systems, we have a unified perspective which connects structural properties of systems at thermal equilibrium to the Markov chain dynamics that mix to them. We lack such a perspective for quantum systems: there is no framework to translate the quantitative convergence of the Markovian evolution into strong structural consequences.
Authors
- Ewin Tang (ORCID: https://orcid.org/0000-0002-7451-9687)
- Ankur Moitra (ORCID: https://orcid.org/0000-0001-7047-0495)
- Allen P. Liu (ORCID: https://orcid.org/0000-0002-0309-7018)
- Ainesh Bakshi (ORCID: https://orcid.org/0009-0001-0225-8588)
Institutions
- New York University (US)
- Massachusetts Institute of Technology (US)
- University of California, Berkeley (US)
Publication Details
- Published
- 2026-06-09
- DOI
- https://doi.org/10.1145/3798129.3800859
- Primary Topic
- Advanced Thermodynamics and Statistical Mechanics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Adolph C. and Mary Sprague Miller Institute for Basic Research in Science, University of California Berkeley