Fetching the paper…
Reading the bibliography…
We present an exactly solvable lattice Hamiltonian to realize gapped boundaries of Kitaev's quantum double models for Dijkgraaf-Witten theories.
V. Drinfeld. Quasi-Hopf algebras
1989
Earlier work this paper cites.
X.-G. Wen. Vacuum degeneracy of chiral spin states in compactified space
1989
Earlier work this paper cites.
S. B. Bravyi, A. Y. Kitaev. Quantum codes on a lattice with boundary
1998
Earlier work this paper cites.
M.H. Freedman. P/NP, and the quantum field computer
1998
Earlier work this paper cites.
B. Bakalov, A. A. Kirillov. Lectures on tensor categories and modular functors
2001
Earlier work this paper cites.
V.B. Petkova, J. B. Zuber. The many faces of Ocneanu cells
2001
Earlier work this paper cites.
Y. Zhu. Hecke algebras and Representation Rings of Hopf algebras
2001
Earlier work this paper cites.
E. Dennis, A. Y. Kitaev, A. Landahl, J. Preskill, Topological quantum memory
2002
Earlier work this paper cites.
J. Fuchs, I. Runkel, C. Schweigert. TFT construction of RCFT correlators I: Partition functions
2002
Earlier work this paper cites.
A. Kirillov, V. Ostrik. On a q-analogue of the McKay correspondence and the ADE classification of sl 2 conformal field theories
2002
Earlier work this paper cites.
V. Ostrik. Module categories over the Drinfeld double of a finite group
2002
Earlier work this paper cites.
P. Schauenburg. Hopf Algebra Extensions and Monoidal Categories
2002
Earlier work this paper cites.
P. Schauenburg. Hopf modules and the double of a quasi-Hopf algebra
2002
Earlier work this paper cites.
M. Freedman, A. Kitaev, M. Larsen, Z. Wang. Topological quantum computation
2003
Earlier work this paper cites.
A. Y. Kitaev. Fault-tolerant quantum computation by anyons
2003
Earlier work this paper cites.
V. Ostrik. Module categories, weak Hopf algebras, and modular invariants
2003
Earlier work this paper cites.
R. Raussendorf, D. E. Browne, H. J. Briegel. Measurement-based quantum computation on cluster states
2003
Earlier work this paper cites.
M. Müger. Galois extensions of braided tensor categories and braided crossed G-categories
2004
Earlier work this paper cites.
P. Etingof, D. Nikshych, V. Ostrik. On fusion categories
2005
Earlier work this paper cites.
J. Fuchs, I. Runkel, C. Schweigert. TFT construction of RCFT correlators IV:: Structure constants and correlation functions
2005
Earlier work this paper cites.
M. A. Levin, X.-G. Wen. String-net condensation: A physical mechanism for topological phases
2005
Earlier work this paper cites.
J. Fröhlich, J. Fuchs, I. Runkel, C. Schweigert. Correspondences of ribbon categories
2006
Earlier work this paper cites.
C. Moore, D. Rockmore, A. Russell. Generic quantum Fourier transforms
2006
Earlier work this paper cites.
J. Varona. Rational values of the arccosine function
2006
Earlier work this paper cites.
S. Gelaki, D. Naidu. Some properties of group-theoretical categories
2007
Cited alongside, same era.
H. Bombin, M. A. Martin-Delgado. Family of non-Abelian Kitaev models on a lattice: Topological condensation and confinement
2008
Cited alongside, same era.
C. Nayak, et al. Non-Abelian anyons and topological quantum computation
2008
Cited alongside, same era.
F. A. Bais, J. K. Slingerland. Condensate induced transitions between topologically ordered phases
2009
Cited alongside, same era.
A. Kitaev. Bose-condensation and edges of topological quantum phases. Talk at modular categories and applications, Indiana University, March 19-22, 2009
2009
Cited alongside, same era.
S. Mac Lane. Categories for the working mathematician
2013
Later among the works it cites.
M. Müger. Modular Categories
2013
Later among the works it cites.
M. Barkeshli, P. Bonderson, M. Cheng, Z. Wang. Symmetry, defects, and gauging of topological phases
2014
Later among the works it cites.
L. Chang. Kitaev models based on unitary quantum groupoids
2014
Later among the works it cites.
2014
Later among the works it cites.
I.S. Eliëns, J.C. Romers, F.A. Bais. Diagrammatics for Bose condensation in anyon theories
2014
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Z. Wang. Topological quantum computation. No. 112. American Mathematical Soc., 2010
2010
Cited alongside, same era.
S. Beigi, P. W. Shor, D. Whalen. The quantum double model with boundary: condensations and symmetries
2011
Cited alongside, same era.
H. Bombin, M. A. Martin-Delgado. Nested Topological Order
2011
Cited alongside, same era.
A. Kapustin, N. Saulina. Topological boundary conditions in abelian Chern-Simons theory
2011
Cited alongside, same era.
2011
Cited alongside, same era.
D. Naidu, E. C. Rowell. A finiteness property for braided fusion categories
2011
Cited alongside, same era.
M. Barkeshli, X.-L. Qi. Topological Nematic States and Non-Abelian Lattice Dislocations
2012
Cited alongside, same era.
Later among the works it cites.
J. Fuchs, C. Schweigert, A. Valentino. A Geometric Approach to Boundaries and Surface Defects in Dijkgraaf-Witten Theories
2014
Later among the works it cites.
A. Kapustin. Ground-state degeneracy for Abelian anyons in the presence of gapped boundaries
2014
Later among the works it cites.
L. Kong. Some universal properties of Levin-Wen models
2014
Later among the works it cites.
L. Kong. Anyon condensation and tensor categories
2014
Later among the works it cites.
2015
Later among the works it cites.
L. Chang, et al. On enriching the Levin-Wen model with symmetry
2015
Later among the works it cites.
S. X. Cui, S.-M. Hong, Z. Wang. Universal quantum computation with weakly integral anyons
2015
Later among the works it cites.
L.Y. Hung, Y. Wan. Ground-state degeneracy of topological phases on open surfaces
2015
Later among the works it cites.
2015
Later among the works it cites.
T. Lan, J. C. Wang, X.-G. Wen. Gapped Domain Walls, Gapped Boundaries, and Topological Degeneracy
2015
Later among the works it cites.
P. Schauenburg. Computing higher Frobenius-Schur indicators in fusion categories constructed from inclusions of finite groups
2015
Later among the works it cites.
J.C. Wang, X.-G. Wen. Boundary degeneracy of topological order
2015
Later among the works it cites.
I. Cong, M. Cheng, Z. Wang. Topological quantum computation with gapped boundaries
2016
Later among the works it cites.
T. Neupert, H. He, C. von Keyserlingk, G. Sierra, B. A. Bernevig. Boson Condensation in Topologically Ordered Quantum Liquids
2016
Later among the works it cites.
2016
Later among the works it cites.
2017
Closest in time.