5 papers
Fast mixing of the SYK model at high temperatures
Yiyi Cai, Yongtao Zhan, Alexander Zlokapa
The Sachdev-Ye-Kitaev (SYK) model is a strongly interacting fermionic system. Its dynamics are difficult to analyze with Lieb-Robinson bounds and cluster expansions due to its all-…
Preparing thermal states of frustrated quantum spin systems using 139 qubits
Roland C. Farrell, Yongtao Zhan, Lucas Katschke +3
Finite-temperature properties of strongly correlated quantum matter are central to condensed matter, chemistry, and high-energy physics, yet are often inaccessible to classical met…
Convergence of the Cumulant Expansion and Polynomial-Time Algorithm for Weakly Interacting Fermions
Hongrui Chen, Cambyse Rouzé, Jielun Chen +6
We propose a randomized algorithm to compute the log-partition function of weakly interacting fermions with polynomial runtime in both the system size and precision. Although weakl…
Fast mixing of weakly interacting fermionic systems at any temperature
Yu Tong, Yongtao Zhan
We study the mixing time of a recently proposed efficiently implementable Lindbladian designed to prepare the Gibbs states in the setting of weakly interacting fermionic systems. W…
Learning conservation laws in unknown quantum dynamics
Yongtao Zhan, Andreas Elben, Hsin-Yuan Huang +1
We present a learning algorithm for discovering conservation laws given as sums of geometrically local observables in quantum dynamics. This includes conserved quantities that aris…