PIRSA:23010067

Generating Kitaev spin liquid from a stochastic measurement-only circuit

Luo, Z. (2023). Generating Kitaev spin liquid from a stochastic measurement-only circuit. Perimeter Institute. https://pirsa.org/23010067

Luo, Zhu-Xi. Generating Kitaev spin liquid from a stochastic measurement-only circuit. Perimeter Institute, Jan. 11, 2023, https://pirsa.org/23010067 

          @misc{ pirsa_PIRSA:23010067,
            doi = {10.48660/23010067},
            url = {https://pirsa.org/23010067},
            author = {Luo, Zhu-Xi},
            keywords = {Quantum Information},
            language = {en},
            title = {Generating Kitaev spin liquid from a stochastic measurement-only circuit},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {jan},
            note = {PIRSA:23010067 see, \url{https://pirsa.org}}
          }

Zhu-Xi Luo Harvard University

DOI 10.48660/23010067
Collection
Talk Type Scientific Series
Subject

Abstract

Experimental realizations of long-range entangled states such as quantum spin liquids are challenging due to numerous complications in solid state materials. Digital quantum simulators, on the other hand, have recently emerged as a promising platform to controllably simulate exotic phases. I will talk about a constructive design of long-range entangled states in this setting, and exploit competing measurements as a new source of frustration to generate spin liquid. Specifically, we consider random projective measurements of the anisotropic interactions in the Kitaev honeycomb model. The monitored trajectories can produce analogues of the two phases in the original Kitaev model: (i) a topologically-ordered phase with area-law entanglement and two protected logical qubits, and (ii) a “critical” phase with a logarithmic violation of area-law entanglement and long-range tripartite entanglement. A Majorana parton description permits an analytic understanding of these two phases through a classical loop model. Extensive numerical simulations of the  monitored dynamics confirm our analytic predictions. This talk is based on https://arxiv.org/abs/2207.02877.

Zoom link:  https://pitp.zoom.us/j/99600719755?pwd=a0pOWlliU0swVDdGYnhxaGFGNkJSdz09