3 papers
quant-ph2026
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…
quant-ph2025
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…
quant-ph2025
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…