21 papers
Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations
Carolyn Zhang, Po-Shen Hsin
Recent work has constructed higher-dimensional analogs of non-invertible symmetries similar to 1+1d Kramers-Wannier duality. Although their continuum descriptions often treat purel…
Bockstein braiding statistics
Po-Shen Hsin, Yu-An Chen
The paper introduces a universal construction of mutual braiding statistics for Z_N-fused excitations in one lower spatial dimension, defines a Berry‑phase invariant linked to the…
Pauli stabilizer formalism for topological quantum field theories and generalized statistics
Yitao Feng, Hanyu Xue, Ryohei Kobayashi +2
Topological quantum field theory (TQFT) provides a unifying framework for describing topological phases of matter and for constructing quantum error-correcting codes, playing a cen…
Clifford Hierarchy Stabilizer Codes: Transversal Non-Clifford Gates and Magic
Ryohei Kobayashi, Guanyu Zhu, Po-Shen Hsin
A fundamental problem in fault-tolerant quantum computation is the tradeoff between universality and dimensionality, exemplified by the the Bravyi-König bound for -dimensional…
Automorphism in Gauge Theories: Higher Symmetries and Transversal Non-Clifford Logical Gates
Po-Shen Hsin, Ryohei Kobayashi
Gauge theories are important descriptions for many physical phenomena and systems in quantum computation. Automorphism of gauge group naturally gives global symmetries of gauge the…
Exploring Entropic Orders: High Temperature Continuous Symmetry Breaking, Chiral Topological States and Local Commuting Projector Models
Po-Shen Hsin, Ryohei Kobayashi
High temperature is usually expected to destroy order: as the Gibbs state approaches the infinite-temperature limit, it becomes an equal-weight ensemble over all states and the sys…