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07/26/2023
Dense outputs from quantum simulations
The quantum dense output problem is the process of evaluating time-accum...
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03/06/2023
Towards provably efficient quantum algorithms for large-scale machine-learning models
Large machine learning models are revolutionary technologies of artifici...
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03/02/2023
Linear combination of Hamiltonian simulation for non-unitary dynamics with optimal state preparation cost
We propose a simple method for simulating a general class of non-unitary...
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11/17/2022
Escaping From Saddle Points Using Asynchronous Coordinate Gradient Descent
Large-scale non-convex optimization problems are expensive to solve due ...
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11/09/2022
A theory of quantum differential equation solvers: limitations and fast-forwarding
We study the limitations and fast-forwarding of quantum algorithms for s...
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10/12/2022
Quantum Algorithms for Sampling Log-Concave Distributions and Estimating Normalizing Constants
Given a convex function fℝ^d→ℝ, the problem of sampling from a distribut...
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05/02/2022
Efficient quantum algorithm for nonlinear reaction-diffusion equations and energy estimation
Nonlinear differential equations exhibit rich phenomena in many fields b...
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03/31/2022
Quantum simulation of real-space dynamics
Quantum simulation is a prominent application of quantum computers. Whil...
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12/11/2020
Quantum-accelerated multilevel Monte Carlo methods for stochastic differential equations in mathematical finance
Inspired by recent progress in quantum algorithms for ordinary and parti...
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11/06/2020
Efficient quantum algorithm for dissipative nonlinear differential equations
While there has been extensive previous work on efficient quantum algori...
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10/28/2020
Quantum algorithms for the polynomial eigenvalue problems
Polynomial eigenvalue problems (PEPs) arise in a variety of science and ...
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02/18/2020
High-precision quantum algorithms for partial differential equations
Quantum computers can produce a quantum encoding of the solution of a sy...
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01/04/2019