696 citations · 979 across the 9 of their papers we have counts for
4 papers · 1 filter
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…
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-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…
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…