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Rapid mixing for high-temperature Gibbs states with arbitrary external fields
Ainesh Bakshi, Xinyu Tan
Gibbs states are a natural model of quantum matter at thermal equilibrium. We investigate the role of external fields in shaping the entanglement structure and computational comple…
Entanglement in quantum spin chains is strictly finite at any temperature
Ainesh Bakshi, Soonwon Choi, Saúl Pilatowsky-Cameo
Entanglement is the hallmark of quantum physics, yet its characterization in interacting many-body systems at thermal equilibrium remains one of the most important challenges in qu…
A Dobrushin condition for quantum Markov chains: Rapid mixing and conditional mutual information at high temperature
Ainesh Bakshi, Allen Liu, Ankur Moitra +1
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…
Learning the closest product state
Ainesh Bakshi, John Bostanci, William Kretschmer +5
We study the problem of finding a (pure) product state with optimal fidelity to an unknown -qubit quantum state , given copies of . This is a basic instance of a fundament…