Solving Differential Equations via Continuous-Variable Quantum Computers
Quantum Physics
2020-12-23 v1
Abstract
We explore how a continuous-variable (CV) quantum computer could solve a classic differential equation, making use of its innate capability to represent real numbers in qumodes. Specifically, we construct variational CV quantum circuits [Killoran et al., Phys.~Rev.~Research 1, 033063 (2019)] to approximate the solution of one-dimensional ordinary differential equations (ODEs), with input encoding based on displacement gates and output via measurement averages. Our simulations and parameter optimization using the PennyLane / Strawberry Fields framework demonstrate good convergence for both linear and non-linear ODEs.
Cite
@article{arxiv.2012.12220,
title = {Solving Differential Equations via Continuous-Variable Quantum Computers},
author = {Martin Knudsen and Christian B. Mendl},
journal= {arXiv preprint arXiv:2012.12220},
year = {2020}
}
Comments
6 pages, 8 figures