Work

Fast mixing of all-to-all quantum systems at high temperatures

Year: 2026
Type: preprint
Abstract: It is shown that arbitrary quantum $k$-local Hamiltonians with bounded strength interactions admit a quantum Gibbs sampler [CKG23] with a system-size independent spectral gap, at sufficiently high temperatures. As a consequence, such systems admit fully-polynomial time quantum approximation algorithms for partition functions and global expectation values.
Language: English
Open Access status: green
OpenAlex ID: W7165961039
Cites: 85
Cited by: 19
Related to: 10