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Trapped Ion Quantum Computing Quantum Simulation

Solving Differential Equations via Continuous-Variable Quantum Computers

arXiv
Authors: Martin Knudsen, Christian B. Mendl

Year

2020

Paper ID

18181

Status

Preprint

Abstract Read

~2 min

Abstract Words

81

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • 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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2012.12220 [2] arXiv https://arxiv.org/abs/2012.12220 [3] Publisher https://arxiv.org/abs/2012.12220

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