4 papers · 1 filter
Efficient Quantum Simulation for Nonlinear Stochastic Differential Equations
Xiangyu Li, Ahmet Burak Catli, Ho Kiat Lim +4
Nonlinear stochastic differential equations (NSDEs) are a pillar of mathematical modeling for scientific and engineering applications. Accurate and efficient simulation of large-sc…
Efficient Simulation of Pre-Born-Oppenheimer Dynamics on a Quantum Computer
Matthew Pocrnic, Ignacio Loaiza, Juan Miguel Arrazola +2
In this work, we present a quantum algorithm for direct first-principles simulation of electron-nuclear dynamics on a first-quantized real-space grid. Our algorithm achieves best-i…
Discovery of energy landscapes towards optimized quantum transport: Environmental effects and long-range tunneling
Maggie Lawrence, Matthew Pocrnic, Erin Fung +3
Carrier transport in quantum networks is governed by a variety of factors, including network dimensionality and connectivity, on-site energies, couplings between sites and whether…
Constant-Factor Improvements in Quantum Algorithms for Linear Differential Equations
Matthew Pocrnic, Peter D. Johnson, Amara Katabarwa +1
Finding the solution to linear ordinary differential equations of the form has been a promising theoretical avenue for \textit{asymptotic} quantum spe…