English

Locality Induced Non-Universality for Abelian Symmetries

Quantum Physics 2023-06-12 v1 Mathematical Physics math.MP

Abstract

According to a well-known result in quantum computing, any unitary transformation on a composite system can be generated using 22-local unitaries. Interestingly, this universality need not hold in the presence of symmetries. In this paper, we study the analogues of the non-universality results for all Abelian symmetries.

Keywords

Cite

@article{arxiv.2306.05435,
  title  = {Locality Induced Non-Universality for Abelian Symmetries},
  author = {Sarvagya Jain},
  journal= {arXiv preprint arXiv:2306.05435},
  year   = {2023}
}

Comments

11 pages, 1 table, 0 figures