4 papers
Higher-winding phases in one-dimensional non-Hermitian topological superconductors
Yung-Yeh Chang, Xiang-Yu Li, Ken Shiozaki +1
Non-Hermitian topological superconductors provide a setting in which point-gap topology, non-Hermitian skin effects, and Majorana zero modes are strongly intertwined. In this work,…
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…
Quantum Algorithm for Subcellular Multiscale Reaction-Diffusion Systems
Margot Lockwood, Nathan Wiebe, Connah Johnson +5
Computational modeling of cellular systems, where reactants are governed by biochemical equations and physical representations, requires extensive classical computing resources. Th…
Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections
Philipp Schleich, Tyler Kharazi, Xiangyu Li +3
Complicated boundary conditions are essential to accurately describe phenomena arising in nature and engineering. Recently, the investigation of a potential speedup through quantum…