## Video URL

http://pirsa.org/22110109# Phase diagram of the honeycomb Floquet code

### APA

Vu, D.T. (2022). Phase diagram of the honeycomb Floquet code. Perimeter Institute for Theoretical Physics. http://pirsa.org/22110109

### MLA

Vu, DinhDuy Tran. Phase diagram of the honeycomb Floquet code. Perimeter Institute for Theoretical Physics, Nov. 23, 2022, http://pirsa.org/22110109

### BibTex

@misc{ scitalks_22110109, doi = {}, url = {http://pirsa.org/22110109}, author = {Vu, DinhDuy Tran}, keywords = {Quantum Matter}, language = {en}, title = {Phase diagram of the honeycomb Floquet code}, publisher = {Perimeter Institute for Theoretical Physics}, year = {2022}, month = {nov}, note = {Talk #22110109 see, \url{https://scitalks.ca}} }

DinhDuy Tran Vu University System of Maryland

## Abstract

The Floquet code implements a periodic sequence of two-qubit measurements to realize the topological order. After each measurement round, the instantaneous stabilizer group can be mapped to a honeycomb toric code, thus explaining the topological feature. However, the code also possesses a time-crystal order distinct from a stationary toric code – an e-m exchange after every cycle. In this work, we construct a continuous path interpolating between the Floquet and toric codes, focusing on the transition between the time-crystal and non-time crystal phases. We show that this transition is characterized by a diverging length scale. We also add single qubit noise to the model and obtain a two-dimensional parametric phase diagram of the Floquet code.

Zoom link: https://pitp.zoom.us/j/95933569447?pwd=UkcrVHdkWERTNVIrcXdCREQ3Y1JUZz09