Functional matrix product state simulation of continuous variable quantum circuits
Quantum Physics
2026-03-26 v2
Abstract
We introduce a functional matrix product state (FMPS) based method for simulating the real-space representation of continuous-variable (CV) quantum computation. This approach efficiently simulates non-Gaussian CV systems by leveraging their functional form. By addressing scaling bottlenecks, FMPS enables more efficient simulation of shallow, multi-mode CV quantum circuits with non-Gaussian input states. The method is validated by simulating random shallow and cascaded circuits with highly non-Gaussian input states, showing superior performance compared to existing techniques, also in the presence of loss.
Cite
@article{arxiv.2504.05860,
title = {Functional matrix product state simulation of continuous variable quantum circuits},
author = {Andreas Bock Michelsen and Frederik K. Marqversen and Michael Kastoryano},
journal= {arXiv preprint arXiv:2504.05860},
year = {2026}
}