58 citations · 177 across the 18 of their papers we have counts for
7 papers · 1 filter
Size-independent Logarithmic Sobolev Inequalities for Quantum Gibbs Samplers
Hongrui Chen, Zhiyan Ding, Jianfeng Lu
We propose a new method for proving and modified logarithmic Sobolev inequalities with constants independent of system size for quantum Gibbs samplers whose Lindblad generato…
Physical limits to stochastic classifiers
Timur Aslyamov, Massimiliano Esposito
Stochastic physical computers use random transitions between states to process inputs. We quantify their ability to solve distinct tasks as the control parameters of a device vary.…
Spectral Analysis Beyond the Spectral Gap: Rapid Mixing of Quantum Gibbs Samplers in One Dimension
Hongrui Chen, Zhiyan Ding
We prove rapid mixing of a quantum Gibbs sampler for general one-dimensional non-commuting local spin systems at every fixed positive temperature. In particular, for a system of $n…
Quantum Algorithms for Nonlinear Differential Equations via Pivot-Shifted Carleman Linearization
Ke Wang, Zikang Jia, Shravan Veerapaneni +1
We develop a pivot-shifted Carleman linearization framework for quantum algorithms solving quadratic nonlinear ordinary differential equations. By shifting the dynamics by a pivot…
Overcoming the Lamb Shift in System-Bath Interaction Models via KMS Detailed Balance: High-Accuracy Thermalization with Time-Bounded Interactions
Hongrui Chen, Zhiyan Ding, Ruizhe Zhang
We investigate quantum thermal state preparation algorithms based on system-bath interactions and uncover a surprising phenomenon in the weak-coupling regime. We rigorously prove t…
Provably Efficient Long-Time Exponential Decompositions of Non-Markovian Gaussian Baths
Zhen Huang, Zhiyan Ding, Ke Wang +3
Gaussian baths are widely used to model non-Markovian environments, yet the cost of accurate simulation at long times remains poorly understood, especially when spectral densities…
Uniform-in-time propagation of chaos for consensus-based minimax algorithm
Erhan Bayraktar, Zhiyan Ding, Ibrahim Ekren +1
We study the large-population convergence of a consensus-based algorithm for the saddle point problem proposed by ArXiv: 2212.12334, establishing the uniform-in-time propagation of…