2023/06/07 by Sarvagya Jain, Jain, Sarvagya
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Mechanics and Applications #Advanced Mathematical Theories and Applications
paper · pdf · doi:10.48550/arxiv.2306.05435
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.