321 citations · 2.9k across the 56 of their papers we have counts for
11 papers · 1 filter
Sipser-Spielman meets Dijkgraaf-Witten: non-Abelian qLDPC codes via twisted sheaf gauge theory and almost-constant-overhead magic state fountain
Guanyu Zhu, Shi Jie Samuel Tan, Ryohei Kobayashi +1
Sipser-Spielman codes and Dijkgraaf-Witten twisted gauge theories are among the most profound ideas in the last few decades in the areas of computer science and mathematical physic…
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
Braiding phenomena, from the charge-flux Aharonov-Bohm effect to anyonic statistics in fractional quantum Hall systems, are paradigmatic manifestations of topology in quantum physi…
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…
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 t…
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…
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)…
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…
Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry
Po-Shen Hsin, Ryohei Kobayashi, Guanyu Zhu
We systematically construct and classify fault-tolerant logical gates implemented by constant-depth circuits for quantum codes using cohomology operations and symmetry. These logic…
Non-Abelian Self-Correcting Quantum Memory and Transversal Non-Clifford Gate beyond the Distance Barrier
Po-Shen Hsin, Ryohei Kobayashi, Guanyu Zhu
We construct a family of infinitely many new candidate non-Abelian self-correcting topological quantum memories in spacetime dimensions without particle excitations usi…