English

Systems Theory of Classical and Quantum Fields and Applications to Quantum Computing and Control

Quantum Physics 2021-12-28 v3

Abstract

We explore a field theoretical approach to quantum computing and control. This book consists of three parts. The basics of systems theory and field theory are reviewed in Part I. In Part II, a gauge theory is reinterpreted from a systems theoretical perspective and applied to the formulation of quantum gates. Then quantum systems are defined by introducing feedback to the gates. In Part III, quantum gates and systems are reformulated from a quantum field theoretical perspective using S-matrices. We also discuss how gauge fields are related to feedback.

Keywords

Cite

@article{arxiv.2104.01596,
  title  = {Systems Theory of Classical and Quantum Fields and Applications to Quantum Computing and Control},
  author = {M. Yanagisawa},
  journal= {arXiv preprint arXiv:2104.01596},
  year   = {2021}
}

Comments

Corrected typos

R2 v1 2026-06-24T00:50:16.170Z