250 citations · 895 across the 20 of their papers we have counts for
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Even shorter quantum circuit for phase estimation on early fault-tolerant quantum computers with applications to ground-state energy estimation
Zhiyan Ding, Lin Lin
We develop a phase estimation method with a distinct feature: its maximal runtime (which determines the circuit depth) is , where is the target precision, and the preconst…
Infinite quantum signal processing
Yulong Dong, Lin Lin, Hongkang Ni +1
Quantum signal processing (QSP) represents a real scalar polynomial of degree using a product of unitary matrices of size , parameterized by real numbers cal…
Time-marching based quantum solvers for time-dependent linear differential equations
Di Fang, Lin Lin, Yu Tong
The time-marching strategy, which propagates the solution from one time step to the next, is a natural strategy for solving time-dependent differential equations on classical compu…
Is there evidence for exponential quantum advantage in quantum chemistry?
Seunghoon Lee, Joonho Lee, Huanchen Zhai +15
The idea to use quantum mechanical devices to simulate other quantum systems is commonly ascribed to Feynman. Since the original suggestion, concrete proposals have appeared for si…
Efficient anti-symmetrization of a neural network layer by taming the sign problem
Nilin Abrahamsen, Lin Lin
Explicit antisymmetrization of a neural network is a potential candidate for a universal function approximator for generic antisymmetric functions, which are ubiquitous in quantum…
Ground state preparation and energy estimation on early fault-tolerant quantum computers via quantum eigenvalue transformation of unitary matrices
Yulong Dong, Lin Lin, Yu Tong
Under suitable assumptions, the algorithms in [Lin, Tong, Quantum 2020] can estimate the ground state energy and prepare the ground state of a quantum Hamiltonian with near-optimal…
Monte Carlo Tree Search based Hybrid Optimization of Variational Quantum Circuits
Jiahao Yao, Haoya Li, Marin Bukov +2
Variational quantum algorithms stand at the forefront of simulations on near-term and future fault-tolerant quantum devices. While most variational quantum algorithms involve only…
Lecture Notes on Quantum Algorithms for Scientific Computation
Lin Lin
This is a set of lecture notes used in a graduate topic class in applied mathematics called ``Quantum Algorithms for Scientific Computation'' at the Department of Mathematics, UC B…