10 citations · 12 across the 7 of their papers we have counts for
9 papers
The stationarity test: a framework for learning quantum many-body systems from their thermal states
Thiago Bergamaschi
The task of learning the Hamiltonian interactions governing a quantum system, given samples of its thermal (or 'Gibbs') states, is a foundational question at the intersection of qu…
Spectral Gap of the Davies Generator for the Mean-Field Heisenberg Model
Joao Basso, Thiago Bergamaschi, Lin Lin +2
The mean-field Heisenberg ferromagnet is a quantum spin model on the complete graph with isotropic spin-1/2 interactions. This non-commuting Hamiltonian is permutation and $\mathsf…
Fast mixing of all-to-all quantum systems at high temperatures
Thiago Bergamaschi
It is shown that arbitrary quantum -local Hamiltonians with bounded strength interactions admit a quantum Gibbs sampler [CKG23] with a system-size independent spectral gap, at s…
Robust Structure Learning of -local Lindbladians
Tim Möbus, Thiago Bergamaschi, Daniel Stilck França +1
We present an efficient protocol for learning an unknown -local Lindblad generator on qubits using only product-state preparations, short-time evolution, and single-qubit Pa…
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…
Quantum computational advantage with constant-temperature Gibbs sampling
Thiago Bergamaschi, Chi-Fang Chen, Yunchao Liu
A quantum system coupled to a bath at some fixed, finite temperature converges to its Gibbs state. This thermalization process defines a natural, physically-motivated model of quan…