Locality Induced Non-Universality for Abelian Symmetries

• URL: http://arxiv.org/abs/2306.05435v1
• Date: Wed, 7 Jun 2023 06:43:42 GMT
• Title: Locality Induced Non-Universality for Abelian Symmetries
• Authors: Sarvagya Jain
• Abstract summary: We study the analogues of the non-universality results for all Abelian symmetries. In this paper, we study the analogues of the non-universality results for all Abelian symmetries.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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