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quant-ph2022
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…
quant-ph2021★ 4 cited
A Partially Random Trotter Algorithm for Quantum Hamiltonian Simulations
Shi Jin, Xiantao Li
Given the Hamiltonian, the evaluation of unitary operators has been at the heart of many quantum algorithms. Motivated by existing deterministic and random methods, we present a hy…