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A Structural Theory of Quantum Metastability: Markov Properties and Area Laws
Thiago Bergamaschi, Chi-Fang Chen, Umesh Vazirani
Statistical mechanics assumes that a quantum many-body system at low temperature can be effectively described by its Gibbs state. However, many complex quantum systems exist only a…
Fast Mixing of Quantum Spin Chains at All Temperatures
Thiago Bergamaschi, Chi-Fang Chen
It is shown that every one-dimensional Hamiltonian with short-range interaction admits a quantum Gibbs sampler [CKG23] with a system-size independent spectral gap at all finite tem…
Rapid mixing for Gibbs states within a logical sector: a dynamical view of self-correcting quantum memories
Thiago Bergamaschi, Reza Gheissari, Yunchao Liu
Self-correcting quantum memories store logical quantum information for exponential time in thermal equilibrium at low temperatures. By definition, these systems are slow mixing. Th…
On fault tolerant single-shot logical state preparation and robust long-range entanglement
Thiago Bergamaschi, Yunchao Liu
Preparing encoded logical states is the first step in a fault-tolerant quantum computation. Standard approaches based on concatenation or repeated measurement incur a significant t…