696 citations · 979 across the 9 of their papers we have counts for
11 papers
Comb Tensor Network Finite-Difference Time-Domain Algorithms for 2D and 3D Electromagnetic Simulations
Jonathan Tabares, Erika Ye, Yang Liu
This paper presents efficient 2D and 3D finite-difference time-domain (FDTD) algorithms augmented by the comb tensor network (CTN) representation of the field and auxiliary quantit…
A practical investigation on time integration in the quantized tensor train format
Erika Ye
Quantized tensor trains (QTTs) are a multiscale computational framework that can potentially reduce the computational cost of solving partial differential equations and initial val…
Time integration of quantized tensor trains using the interpolative dynamical low-rank approximation
Erika Ye, Chao Yang
Quantized tensor trains (QTTs) are a low-rank and multiscale framework that allows for efficient approximation and manipulation of multi-dimensional, high resolution data. One area…
RELift: Learned Coarse-to-Fine Propagators for Time-Dependent PDEs with Applications to Electron Dynamics
Hardeep Bassi, Yuanran Zhu, Erika Ye +5
We present RELift (Restrict, Evolve, Lift), a two-phase learning framework that couples coarse-grid numerical solvers with neural operators to super-resolve and forecast fine-grid…
Inexact subspace projection methods for low-rank tensor eigenvalue problems
Alec Dektor, Peter DelMastro, Erika Ye +2
We propose inexact subspace iteration for solving high-dimensional eigenvalue problems with low-rank structure. Inexactness stems from low-rank compression, enabling efficient repr…
Quantized tensor networks for solving the Vlasov-Maxwell equations
Erika Ye, Nuno Loureiro
The Vlasov-Maxwell equations provide an \textit{ab-initio} description of collisionless plasmas, but solving them is often impractical because of the wide range of spatial and temp…
A quantum algorithm for the linear Vlasov equation with collisions
Abtin Ameri, Paola Cappellaro, Hari Krovi +2
The Vlasov equation is a nonlinear partial differential equation that provides a first-principles description of the dynamics of plasmas. Its linear limit is routinely used in plas…
A quantum-inspired method for solving the Vlasov-Poisson equations
Erika Ye, Nuno F. G. Loureiro
Kinetic simulations of collisionless (or weakly collisional) plasmas using the Vlasov equation are often infeasible due to high resolution requirements and the exponential scaling…
Constructing Tensor Network Influence Functionals for General Quantum Dynamics
Erika Ye, Garnet Kin-Lic Chan
We describe an iterative formalism to compute influence functionals that describe the general quantum dynamics of a subsystem beyond the assumption of linear coupling to a quadrati…
Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
Mario Motta, Chong Sun, Adrian Teck Keng Tan +5
The accurate computation of Hamiltonian ground, excited, and thermal states on quantum computers stands to impact many problems in the physical and computer sciences, from quantum…
Low rank representations for quantum simulation of electronic structure
Mario Motta, Erika Ye, Jarrod R. McClean +4
The quantum simulation of quantum chemistry is a promising application of quantum computers. However, for N molecular orbitals, the gate complexity of performing…