33 citations · 41 across the 13 of their papers we have counts for
6 papers · 1 filter
Root-sparsity scaling for Hamiltonian simulation, differential equations and linear-system solvers
Dominic W. Berry, Abhishek Rawat, Sophia Simon +1
We give quantum algorithms for Hamiltonian simulation, linear differential equations, and linear systems with square-root dependence on sparsity. For an -sparse Hermitian matrix…
Multivariate Quantum Signal Processing
Guang Hao Low
We develop Multivariate Quantum Signal Processing for designing matrix-valued transformations of multiple noncommuting nonnormal block-encoded matrices. Our framework equips quantu…
Spectral amplification for ground-state energy estimation of electronic structure in first quantization
Alicja Dutkiewicz, Alec F. White, Guang Hao Low +6
We demonstrate an asymptotic gate complexity improvement in first-quantized ground-state energy estimation of electronic structure Hamiltonians in a plane wave basis by employing t…
A Denser Planar Surface Code
Guang Hao Low, William J. Huggins, Dominic W. Berry +4
We present a quantum code implementable on a regular D hex grid with an estimated encoding rate up to of that of a rotated surface code patch using circuit-level noi…
End-to-End Simulation of Chemical Dynamics on a Quantum Computer
Elliot C. Eklund, Arkin Tikku, Patrick Sinnott +4
Simulations of chemical dynamics are a powerful means for understanding chemistry. However, classical computers struggle to simulate many chemical processes, especially non-adiabat…
Near-frustration-free electronic structure Hamiltonian representations and lower bound certificates
Nicholas C. Rubin, Guang Hao Low, A. Eugene DePrince
Hamiltonian representations based on the sum-of-squares (SOS) hierarchy provide rigorous lower bounds on ground-state energies and facilitate the design of efficient classical and…