Locality Induced Non-Universality for Abelian Symmetries
Sarvagya Jain · arXiv (Cornell University) · 2023
According to a well-known result in quantum computing, any unitary transformation on a composite system can be generated using $2$-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.