Cover Image

Non-Abelian Self-Correcting Quantum Memory and Transversal Non-Clifford Gate beyond the $n^{1/3}$ Distance Barrier

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Hsin, Po-Shen, Kobayashi, Ryohei, Zhu, Guanyu
Format:	Preprint
Published:	2024
Subjects:	Quantum Physics Strongly Correlated Electrons High Energy Physics - Theory Quantum Algebra
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Clifford Hierarchy Stabilizer Codes: Transversal Non-Clifford Gates and Magic
by: Kobayashi, Ryohei, et al.
Published: (2025)

Classifying Logical Gates in Quantum Codes via Cohomology Operations and Symmetry
by: Hsin, Po-Shen, et al.
Published: (2024)

Automorphism in Gauge Theories: Higher Symmetries and Transversal Non-Clifford Logical Gates
by: Hsin, Po-Shen, et al.
Published: (2025)

Anomalies of Coset Non-Invertible Symmetries
by: Hsin, Po-Shen, et al.
Published: (2025)

Higher-group symmetry of (3+1)D fermionic $\mathbb{Z}_2$ gauge theory: logical CCZ, CS, and T gates from higher symmetry
by: Barkeshli, Maissam, et al.
Published: (2023)

Non-Abelian qLDPC: TQFT Formalism, Addressable Gauging Measurement and Application to Magic State Fountain on 2D Product Codes
by: Zhu, Guanyu, et al.
Published: (2026)

Higher-group symmetry in finite gauge theory and stabilizer codes
by: Barkeshli, Maissam, et al.
Published: (2022)

Generalized Statistics on Lattices
by: Kobayashi, Ryohei, et al.
Published: (2024)

Pauli stabilizer formalism for topological quantum field theories and generalized statistics
by: Feng, Yitao, et al.
Published: (2025)

Non-invertible symmetries in finite-group gauge theory
by: Cordova, Clay, et al.
Published: (2024)

Non-Invertible Symmetries as Condensation Defects in Finite-Group Gauge Theories
by: Cordova, Clay, et al.
Published: (2024)

Transversal Clifford-Hierarchy Gates via Non-Abelian Surface Codes
by: Warman, Alison, et al.
Published: (2025)

Anyonic membranes and Pontryagin statistics
by: Feng, Yitao, et al.
Published: (2025)

Exploring Entropic Orders: High Temperature Continuous Symmetry Breaking, Chiral Topological States and Local Commuting Projector Models
by: Hsin, Po-Shen, et al.
Published: (2026)

Generalized Hall Conductivities in Local Commuting Projector Models: Generalized Symmetries and Protected Surface Modes
by: Hsin, Po-Shen, et al.
Published: (2025)

Non-Abelian Quantum Low-Density Parity Check Codes and Non-Clifford Operations from Gauging Logical Gates via Measurements
by: Christos, Maine, et al.
Published: (2026)

Soft symmetries of topological orders
by: Kobayashi, Ryohei, et al.
Published: (2025)

Self-dual bivariate bicycle codes with transversal Clifford gates
by: Liang, Zijian, et al.
Published: (2025)

Higher-Form Anomalies Imply Intrinsic Long-Range Entanglement
by: Hsin, Po-Shen, et al.
Published: (2025)

Cross-cap defects and fault-tolerant logical gates in the surface code and the honeycomb Floquet code
by: Kobayashi, Ryohei, et al.
Published: (2023)

Hybrid Lattice Surgery: Non-Clifford Gates via Non-Abelian Surface Codes
by: Huang, Sheng-Jie, et al.
Published: (2025)

(3+1)D path integral state sums on curved U(1) bundles and U(1) anomalies of (2+1)D topological phases
by: Kobayashi, Ryohei, et al.
Published: (2021)

Non-Clifford gates between stabilizer codes via non-Abelian topological order
by: Sajith, Rohith, et al.
Published: (2025)

Exact $\mathbb{Z}_2$ electromagnetic duality of $\mathbb{Z}_2$ toric code is non-Clifford
by: Kobayashi, Ryohei
Published: (2026)

Onsiteability of Higher-Form Symmetries
by: Feng, Yitao, et al.
Published: (2025)

Non-local Order Parameters and Quantum Entanglement for Fermionic Topological Field Theories
by: Inamura, Kansei, et al.
Published: (2019)

The Many Faces of Non-invertible Symmetries
by: Ahmad, Shadi Ali, et al.
Published: (2025)

Topological Quantum Teleportation and Superdense Coding -- Without Braiding
by: Valera, Sachin J.
Published: (2023)

Resolving spurious topological entanglement entropy in stabilizer codes
by: Han, Peilun, et al.
Published: (2026)

Non-invertible symmetry enriched string net topological orders
by: Eck, Luisa, et al.
Published: (2026)

Non-Abelian Statistics for Bosonic Symmetry-Protected Topological Phases
by: Wang, Hong-Yu, et al.
Published: (2025)

Dismagicker: Unitary Gate for Non-Stabilizerness Reduction
by: Huang, Jiale, et al.
Published: (2026)

Non-Abelian Topological Order and Anyons on a Trapped-Ion Processor
by: Iqbal, Mohsin, et al.
Published: (2023)

Fractionalization of Coset Non-Invertible Symmetry and Exotic Hall Conductance
by: Hsin, Po-Shen, et al.
Published: (2024)

Clifford quantum cellular automata from topological quantum field theories and invertible subalgebras
by: Sun, Meng, et al.
Published: (2025)

Non-Abelian operator size distribution in charge-conserving many-body systems
by: Tarakemeh, Mina, et al.
Published: (2025)

Non-degenerate Ground State of the Spin-Boson Model under Abelian Diagonalization
by: Liu, Tao, et al.
Published: (2025)

Generalized $\mathbb{Z}_p$ toric codes as qudit low-density parity-check codes
by: Liang, Zijian, et al.
Published: (2026)

Generalized toric codes on twisted tori for quantum error correction
by: Liang, Zijian, et al.
Published: (2025)

Operator algebra and algorithmic construction of boundaries and defects in (2+1)D topological Pauli stabilizer codes
by: Liang, Zijian, et al.
Published: (2024)