Improved estimate of local Markovianity for quantum Gibbs states
quant-ph, math-ph, math.MP
Submitted: 2026-09-29
Updated: 2026-10-05
Terminology
Sources
- Quantum Gibbs states are locally Markovian
- Quantum Markov Networks and Commuting Hamiltonians
- Quantum Approximate Markov Chains are Thermal
- Clustering of conditional mutual information and quantum Markov structure at arbitrary temperatures
- Clustering of Conditional Mutual Information via Quantum Belief-Propagation Channels
- Classical Estimation of the Free Energy and Quantum Gibbs Sampling from the Markov Entropy Decomposition
- A Dobrushin condition for quantum Markov chains: Rapid mixing and conditional mutual information at high temperature
- Static features from mixing in short- and long-range Lindbladians: Markov property and correlations
- Quantum Thermal State Preparation
- An efficient and exact noncommutative quantum Gibbs sampler
- Efficient quantum Gibbs samplers with Kubo--Martin--Schwinger detailed balance condition
- Quasi-Locality Bounds for Quantum Lattice Systems. Part I. Lieb-Robinson Bounds, Quasi-Local Maps, and Spectral Flow Automorphisms
- Speed limits and locality in many-body quantum dynamics
- Topological Mixed States: Phases of Matter from Axiomatic Approaches
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