4 papers · 1 filter
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…
Quantum Replica Exchange
Zherui Chen, Joao Basso, Zhiyan Ding +1
The presence of energy barriers in the state space of a physical system can lead to exponentially slow convergence for sampling algorithms like Markov chain Monte Carlo (MCMC). In…
On quantum to classical comparison for Davies generators
Joao Basso, Shirshendu Ganguly, Alistair Sinclair +3
Despite extensive study, our understanding of quantum Markov chains remains far less complete than that of their classical counterparts. [Temme'13] observed that the Davies Lindbla…
Optimizing random local Hamiltonians by dissipation
Joao Basso, Chi-Fang Chen, Alexander M. Dalzell
A central challenge in quantum simulation is to prepare low-energy states of strongly interacting many-body systems. In this work, we study the problem of preparing a quantum state…