English

Universality of single quantum gates

Group Theory 2014-05-21 v3 Quantum Physics

Abstract

We supply a rigorous proof that an open dense set of all possible 2-qubit gates G has the property that if the quantum circuit model is restricted to only permit swap of qubits lines and the application of G to pairs of lines, then the model is still computationally universal.

Cite

@article{arxiv.1404.7822,
  title  = {Universality of single quantum gates},
  author = {Bela Bauer and Claire Levaillant and Michael Freedman},
  journal= {arXiv preprint arXiv:1404.7822},
  year   = {2014}
}

Comments

6 pages, 1 figure; added references to previous proofs

R2 v1 2026-06-22T04:03:23.976Z