152 citations · 506 across the 51 of their papers we have counts for
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Simulating Markovian open quantum systems using higher-order series expansion
Xiantao Li, Chunhao Wang
We present an efficient quantum algorithm for simulating the dynamics of Markovian open quantum systems. The performance of our algorithm is similar to the previous state-of-the-ar…
Enabling Quantum Speedup of Markov Chains using a Multi-level Approach
Xiantao Li
Quantum speedup for mixing a Markov chain can be achieved based on the construction of slowly-varying Markov chains where the initial chain can be easily prepared and the spect…
The Mori-Zwanzig formulation of deep learning
Daniele Venturi, Xiantao Li
We develop a new formulation of deep learning based on the Mori-Zwanzig (MZ) formalism of irreversible statistical mechanics. The new formulation is built upon the well-known duali…
A Local Convergence Theory for the Stochastic Gradient Descent Method in Non-Convex Optimization With Non-isolated Local Minima
Taehee Ko, Xiantao Li
Loss functions with non-isolated minima have emerged in several machine learning problems, creating a gap between theory and practice. In this paper, we formulate a new type of loc…