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PreprintarXiv licencearXiv

Discretisation of quantum feedback networks for implementation on a quantum computer

  • Luc Bouten
  • John Gough
Open at sourcePDFDOICite

Abstract

Quantum Feedback Network Theory (also known colloquially as the SLH-framework) is a powerful tool for modeling systems in quantum optics. This paper describes a method for discretising SLH-networks such that they can be implemented on a quantum computer. Building on a discretisation theorem for quantum stochastic differential equations, we establish strong convergence, uniformly on compact time intervals, of the discretised system to the continuous SLH-network as the discretisation mesh goes to zero.

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Cite

BibTeXRIS
BibTeX
@misc{bouten2026discretisation,
  title = {{Discretisation of quantum feedback networks for implementation on a quantum computer}},
  author = {Luc Bouten and John Gough},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.16608},
  eprint = {2608.16608},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.16608},
}
RIS
TY  - UNPB
TI  - Discretisation of quantum feedback networks for implementation on a quantum computer
AU  - Luc Bouten
AU  - John Gough
PY  - 2026
DA  - 2026/08/30
PB  - arXiv
DO  - 10.48550/arxiv.2608.16608
UR  - https://arxiv.org/abs/2608.16608
AB  - Quantum Feedback Network Theory (also known colloquially as the SLH-framework) is a powerful tool for modeling systems in quantum optics. This paper describes a method for discretising SLH-networks such that they can be implemented on a quantum computer. Building on a discretisation theorem for quantum stochastic differential equations, we establish strong convergence, uniformly on compact time intervals, of the discretised system to the continuous SLH-network as the discretisation mesh goes to zero.
ER  -