Duality via Sequential Quantum Circuit in the Topological Holography Formalism

• DOI: 10.48550/arxiv.2409.06647
• Publication Date: 2024-09-10
• Authors: Robijn Vanhove; V. Ravindran; David T. Stephen; Xiao-Gang Wen; Xie Chen
• Keywords: Formalism (music); Duality (order theory)

Two quantum theories which look different but are secretly describing the same low-energy physics said to be dual each other. When realized in Topological Holography formalism, duality corresponds changing gapped boundary condition on top of a topological field theory, determines symmetry system, while not affecting bottom where all dynamics take place. In this paper, we show that formalism can with Sequential Quantum Circuit applied boundary. As consequence, Hamiltonians before and after mapping have exactly spectrum corresponding sectors, entanglement eigenstates differs by at most an area law term.