7 papers
Non-Abelian qLDPC: TQFT Formalism, Addressable Gauging Measurement and Application to Magic State Fountain on 2D Product Codes
Guanyu Zhu, Ryohei Kobayashi, Po-Shen Hsin
A fundamental problem of fault-tolerant quantum computation with quantum low-density parity-check (qLDPC) codes is the tradeoff between connectivity and universality. It is widely…
Anyonic membranes and Pontryagin statistics
Yitao Feng, Hanyu Xue, Yuyang Li +4
Anyons, unique to two spatial dimensions, underlie extraordinary phenomena such as the fractional quantum Hall effect, but their generalization to higher dimensions has remained el…
Generalized Hall Conductivities in Local Commuting Projector Models: Generalized Symmetries and Protected Surface Modes
Po-Shen Hsin, Ryohei Kobayashi
Hall conductivities are important characterizations of phases of matter. It is known that nonzero Hall conductivities are difficult to realize in local commuting projector lattice…
Higher-Form Anomalies Imply Intrinsic Long-Range Entanglement
Po-Shen Hsin, Ryohei Kobayashi, Abhinav Prem
We show that generic gapped quantum many-body states which respect an anomalous finite higher-form symmetry have an exponentially small overlap with any short-range entangled (SRE)…
Anomalies of Coset Non-Invertible Symmetries
Po-Shen Hsin, Ryohei Kobayashi, Carolyn Zhang
Anomalies of global symmetries provide important information on the quantum dynamics. We show the dynamical constraints can be organized into three classes: genuine anomalies, frac…
Generalized Statistics on Lattices
Ryohei Kobayashi, Yuyang Li, Hanyu Xue +2
The statistics of particles and extended excitations, such as loops and membranes, are fundamental to modern condensed matter physics, high-energy physics, and quantum information…