English

Boolean Functions, Quantum Gates, Hamilton Operators, Spin Systems and Computer Algebra

Mathematical Software 2015-01-05 v4 Quantum Physics

Abstract

We describe the construction of quantum gates (unitary operators) from boolean functions and give a number of applications. Both non-reversible and reversible boolean functions are considered. The construction of the Hamilton operator for a quantum gate is also described with the Hamilton operator expressed as spin system. Computer algebra implementations are provided.

Keywords

Cite

@article{arxiv.1401.2248,
  title  = {Boolean Functions, Quantum Gates, Hamilton Operators, Spin Systems and Computer Algebra},
  author = {Yorick Hardy and Willi-Hans Steeb},
  journal= {arXiv preprint arXiv:1401.2248},
  year   = {2015}
}

Comments

title extended, construction of spin system added

R2 v1 2026-06-22T02:42:40.450Z