PIRSA:23120025

Entanglement Renormalization Circuits for Chiral Topological Order

Chu, S. (2023). Entanglement Renormalization Circuits for Chiral Topological Order. Perimeter Institute. https://pirsa.org/23120025

Chu, Su-Kuan. Entanglement Renormalization Circuits for Chiral Topological Order. Perimeter Institute, Dec. 06, 2023, https://pirsa.org/23120025 

          @misc{ pirsa_PIRSA:23120025,
            doi = {10.48660/23120025},
            url = {https://pirsa.org/23120025},
            author = {Chu, Su-Kuan},
            keywords = {Quantum Information},
            language = {en},
            title = {Entanglement Renormalization Circuits for Chiral Topological Order},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {dec},
            note = {PIRSA:23120025 see, \url{https://pirsa.org}}
          }

Su-Kuan Chu

University of Maryland, College Park

Talk number
PIRSA:23120025
Collection
Talk Type
Subject
Abstract

Entanglement renormalization circuits are quantum circuits that can be used to prepare large-scale entangled states. For years, it has remained a mystery whether there exist scale-invariant entanglement renormalization circuits for chiral topological order. In this paper, we solve this problem by demonstrating entanglement renormalization circuits for a wide class of chiral topologically ordered states, including a state sharing the same topological properties as Laughlin's bosonic fractional quantum Hall state at filling fraction 1/4 and eight states with Ising-like non-Abelian fusion rules. The key idea is to build entanglement renormalization circuits by interleaving the conventional multi-scale entanglement renormalization ansatz (MERA) circuit (made of spatially local gates) with quasi-local evolution. Given the miraculous power of this circuit to prepare a wide range of chiral topologically ordered states, we refer to these circuits as MERA with quasi-local evolution (MERAQLE).\

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Zoom link https://pitp.zoom.us/j/98523529456?pwd=dUlNbUQyemZGNFlCUGFJNStPU0xxdz09