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Symmetry fractionalization, defects, and gauging of topological phases
We examine the interplay of symmetry and topological order in $2+1$ dimensional topological phases of matter. We present a definition of the topological symmetry group, which characterizes the
Topological Quantum Computation with Gapped Boundaries
This paper studies fault-tolerant quantum computation with gapped boundaries. We first introduce gapped boundaries of Kitaev's quantum double models for Dijkgraaf-Witten theories using their
Series of (2+1)-dimensional stable self-dual interacting conformal field theories
Using the duality between seemingly different (2+1)d conformal field theories (CFT) proposed recently, we study a series of (2+1)d stable self-dual interacting CFTs. These CFTs can be realized (for
Translational symmetry and microscopic constraints on symmetry-enriched topological phases: a view from the surface
The Lieb-Schultz-Mattis theorem and its higher dimensional generalizations by Oshikawa and Hastings require that translationally invariant 2D spin systems with a half-integer spin per unit cell must
Majorana edge states in interacting two-chain ladders of fermions
symmetry associated with the fermion parity on each chain. We nd that when the system is drivento the strong-coupling phase by the pair tunneling, Majorana excitations appear on the boundary.Such
Universal Quantum Computation with Gapped Boundaries.
Systematic methods are presented to encode quantum information topologically using gapped boundaries, and to perform topologically protected operations on this encoding, including a new and general computational primitive of topological charge measurement and a symmetry-protected implementation of this primitive.
Sorting topological stabilizer models in three dimensions
The S-matrix invariant is known to be complete for translation invariant topological stabilizer models in two spatial dimensions, as such models are phase equivalent to some number of copies of toric
Higher-form symmetry breaking at Ising transitions
In recent years, new phases of matter that are beyond the Landau paradigm of symmetry breaking are mountaining, and to catch up with this fast development, new notions of global symmetry are
Quantum phase transitions in a charge-coupled Bose-Fermi Anderson model
We study the competition between Kondo physics and dissipation within an Anderson model of a magnetic impurity level that hybridizes with a metallic host and is also coupled, via the impurity charge,
Scaling of Entanglement Entropy at Deconfined Quantum Criticality
Jiarui Zhao,1 Yan-Cheng Wang,2 Zheng Yan,1, 3 Meng Cheng,4, ∗ and Zi Yang Meng1, † Department of Physics and HKU-UCAS Joint Institute of Theoretical and Computational Physics, The University of Hong