4 papers
Note on Strong Quantum Markov Properties
Chi-Fang Chen
Quantum many-body Gibbs states satisfy an approximate local Markov property~\cite{chen2025GibbsMarkov}: local noise can be approximately recovered by a quasi-local recovery map, an…
Efficient Shadow Tomography of Thermal States
Chi-Fang Chen, András Gilyén
We present a general protocol for estimating observables from only copies of a Gibbs state whose Hamiltonian is accessible. The protocol u…
Learning quantum Gibbs states locally and efficiently
Chi-Fang Chen, Anurag Anshu, Quynh T. Nguyen
Learning the Hamiltonian underlying a quantum many-body system in thermal equilibrium is a fundamental task in quantum learning theory and experimental sciences. To learn the Gibbs…
Quantum Gibbs states are locally Markovian
Chi-Fang Chen, Cambyse Rouzé
The Markov property entails the conditional independence structure inherent in Gibbs distributions for general classical Hamiltonians, a feature that plays a crucial role in infere…