Fusion-assisted decoding of non-Abelian topological order
quant-ph
Submitted: 2026-10-05
Updated: 2026-10-05
Terminology
Sources
- Quantum codes on a lattice with boundary
- Realizing topologically ordered states on a quantum processor
- Experimental demonstration of the advantage of adaptive quantum circuits
- Generating logical magic states with the aid of non-Abelian topological order
- Universal fault tolerant quantum computation in 2D without getting tied in knots
- Planar fault-tolerant circuits for non-Clifford gates on the 2D color code
- Hybrid Lattice Surgery: Non-Clifford Gates via Non-Abelian Surface Codes
- Automorphism in Gauge Theories: Higher Symmetries and Transversal Non-Clifford Logical Gates
- Universal quantum computation with group surface codes
- Anyon Permutations in Quantum Double Models through Constant-depth Circuits
- Adaptive constant-depth circuits for manipulating non-abelian anyons
- General tensor network decoding of 2D Pauli codes
- Matching and maximum likelihood decoding of a multi-round subsystem quantum error correction experiment
- Anomalous matrix product operator symmetries and 1D mixed-state phases
- SymTFT Approach for Mixed States with Non-Invertible Symmetries
- Strong-to-weak spontaneous symmetry breaking of higher-form non-invertible symmetries in Kitaev's quantum double model
- Exact Recovery for Non-Abelian Surface Codes
- Torus algebra and logical operators at low energy
- Statistical Mechanics and Symmetries of Non-Abelian Anyon Proliferation: From Deformation to Decoherence
Related papers
- Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
- Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
- Polynomial-time classical and quantum simulation of quantum impurity models
- A quasiparticle-protected superconducting qubit
- Theory of quantum-enhanced interferometry with general Markovian light sources
- A convergent hierarchy of spectral gap certificates for qubit Hamiltonians