321 citations · 2.9k across the 56 of their papers we have counts for
59 papers
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…
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…
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…
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…
Generalized Global Symmetries of Theories: Part II
Sergei Gukov, Po-Shen Hsin, Du Pei
We continue the investigation of symmetries and anomalies of theories obtained by compactifying 6d SCFTs on an internal manifold . We extend the notion of "polarizations…
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…
Onsiteability of Higher-Form Symmetries
Yitao Feng, Yu-An Chen, Po-Shen Hsin +1
An internal symmetry in a lattice model is said to be onsiteable if it can be disentangled into an onsite action by introducing ancillas and conjugating with a finite-depth circuit…
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 Symmetries Phase Transitions with Local Quantum Fields
Po-Shen Hsin
Symmetries are important guiding principle for phase transitions. We systematically construct field theory models with local quantum fields that exhibit the following phase transit…
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…
Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories
Clay Cordova, Davi B. Costa, Po-Shen Hsin
In recent work, we developed a method to construct invertible and non-invertible symmetries of finite-group gauge theories as topological domain walls on the lattice. In the presen…
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…
Detecting Standard Model Gauge Group from Generalized Fractional Quantum Hall Effect
Po-Shen Hsin, Jaume Gomis
The Standard Model of particle physics stands as one of the most profound and successful frameworks for describing the fundamental workings of nature. The global form of the Standa…
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-invertible symmetries in finite-group gauge theory
Clay Cordova, Davi B. Costa, Po-Shen Hsin
We investigate the invertible and non-invertible symmetries of topological finite-group gauge theories in general spacetime dimensions, where the gauge group can be abelian or non-…
Time-Reversal Anomalies of QCD and QED
Po-Shen Hsin
Anomalies of global symmetry provide powerful tool to constrain the dynamics of quantum systems, such as anomaly matching in the renormalization group flow and obstruction to symme…
Fractionalization of Coset Non-Invertible Symmetry and Exotic Hall Conductance
Po-Shen Hsin, Ryohei Kobayashi, Carolyn Zhang
We investigate fractionalization of non-invertible symmetry in (2+1)D topological orders. We focus on coset non-invertible symmetries obtained by gauging non-normal subgroups of in…
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…
Subsystem Symmetry Fractionalization and Foliated Field Theory
Po-Shen Hsin, David T. Stephen, Arpit Dua +1
Topological quantum matter exhibits a range of exotic phenomena when enriched by subdimensional symmetries. This includes new features beyond those that appear in the conventional…