4 papers
On the action of non-invertible symmetries on local operators in 3+1d
Pavel Putrov, Rajath Radhakrishnan
Most of the known non-invertible symmetries of quantum field theories in three and four spacetime dimensions act invertibly on local operators. An exception is coset symmetries, wh…
Unveiling dynamical quantum error correcting codes via non-invertible symmetries
Rajath Radhakrishnan, Adar Sharon, Nathanan Tantivasadakarn
Dynamical stabilizer codes (DSCs) have recently emerged as a powerful generalization of static stabilizer codes for quantum error correction, replacing a fixed stabilizer group wit…
Gauging Non-Invertible Symmetries in (2+1)d Topological Orders
Mahesh K. N. Balasubramanian, Matthew Buican, Clement Delcamp +1
We present practical and formal methods for gauging non-invertible symmetries in (2+1)d topological quantum field theories. Along the way, we generalize various aspects of invertib…
Braidings on topological operators, anomaly of higher-form symmetries and the SymTFT
Pavel Putrov, Rajath Radhakrishnan
The anomaly of non-invertible higher-form symmetries is determined by the braiding of topological operators implementing them. In this paper, we study a method to classify braiding…