11 papers
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…
Unified Architecture for Quantum Lookup Tables
Shuchen Zhu, Aarthi Sundaram, Guang Hao Low
Quantum access to arbitrary classical data encoded in unitary black-box oracles underlies interesting data-intensive quantum algorithms, such as machine learning or electronic stru…
The Grand Challenge of Quantum Applications
Ryan Babbush, Robbie King, Sergio Boixo +6
This perspective outlines promising pathways and critical obstacles on the road to developing useful quantum computing applications, drawing on insights from the Google Quantum AI…