English

A universal completion of the ZX-calculus

Quantum Physics 2017-06-30 v1 Logic in Computer Science Category Theory

Abstract

In this paper, we give a universal completion of the ZX-calculus for the whole of pure qubit quantum mechanics. This proof is based on the completeness of another graphical language: the ZW-calculus, with direct translations between these two graphical systems.

Keywords

Cite

@article{arxiv.1706.09877,
  title  = {A universal completion of the ZX-calculus},
  author = {Kang Feng Ng and Quanlong Wang},
  journal= {arXiv preprint arXiv:1706.09877},
  year   = {2017}
}

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29 pages