Fetching the paper…
Reading the bibliography…
We discuss the procedure for gauging on-site $\mathbb{Z}_2$ global symmetries of three-dimensional lattice Hamiltonians that permute quasi-particles and provide general arguments demonstrating the non-Abelian character of the resultant gauged theories.
Parallelized quantum error correction with fracton topological codes ,
B. J. Brown and D. J. Williamson, · 1901
Earlier work this paper cites.
Non-Abelian defects in Fracton phase of matter ,
Y. You, · 1901
Earlier work this paper cites.
Rank-2 $U(1)$ spin liquid on the breathing pyrochlore lattice ,
H. Yan, O. Benton, L. D. C. Jaubert and N. Shannon, · 1902
Earlier work this paper cites.
Fracton fusion and statistics ,
S. Pai and M. Hermele, · 1903
Earlier work this paper cites.
Compactifying fracton stabilizer models ,
A. Dua, D. J. Williamson, J. Haah and M. Cheng, · 1903
Earlier work this paper cites.
D. Bulmash and M. Barkeshli, · 1905
Earlier work this paper cites.
Communications in Mathematical Physics 123
Classical and quantum conformal field theory , · 1989
Earlier work this paper cites.
Quantum orders in an exact soluble model ,
X.-G. Wen, · 2003
Earlier work this paper cites.
Fault-tolerant quantum computation by anyons ,
A. Kitaev, · 2003
Earlier work this paper cites.
Quantum glassiness in strongly correlated clean systems: An example of topological overprotection ,
C. Chamon, · 2005
Earlier work this paper cites.
Anyons in an exactly solved model and beyond ,
A. Kitaev, · 2005
Earlier work this paper cites.
String and membrane condensation on three-dimensional lattices ,
A. Hamma, P. Zanardi and X.-G. Wen, · 2005
Earlier work this paper cites.
String-net condensation: A physical mechanism for topological phases ,
M. A. Levin and X.-G. Wen, · 2005
Earlier work this paper cites.
Topological quantum distillation ,
H. Bombin and M. A. Martin-Delgado, · 2006
Earlier work this paper cites.
Exact topological quantum order in d = 3 d=3 and beyond: Branyons and brane-net condensates ,
H. Bombin and M. A. Martin-Delgado, · 2007
Earlier work this paper cites.
Non-abelian anyons and topological quantum computation ,
C. Nayak, S. H. Simon, A. Stern, M. Freedman and S. Das Sarma, · 2008
Earlier work this paper cites.
Topological order in an exactly solvable 3d spin model ,
S. Bravyi, B. Leemhuis and B. M. Terhal, · 2010
Earlier work this paper cites.
Topological order with a twist: Ising anyons from an abelian model ,
H. Bombin, · 2010
Earlier work this paper cites.
Local stabilizer codes in three dimensions without string logical operators ,
J. Haah, · 2011
Earlier work this paper cites.
Topological quantum glassiness ,
C. Castelnovo and C. Chamon, · 2011
Earlier work this paper cites.
Energy landscape of 3d spin hamiltonians with topological order ,
S. Bravyi and J. Haah, · 2011
Earlier work this paper cites.
3D local qupit quantum code without string logical operator ,
I. H. Kim, · 2012
Earlier work this paper cites.
(3+1)-TQFTs and topological insulators ,
K. Walker and Z. Wang, · 2012
Earlier work this paper cites.
Topological phases and quasiparticle braiding ,
N. Read, · 2012
Earlier work this paper cites.
Universal topological phase of two-dimensional stabilizer codes ,
H. Bombin, G. Duclos-Cianci and D. Poulin, · 2012
Earlier work this paper cites.
Exotic topological order in fractal spin liquids ,
B. Yoshida, · 2013
Earlier work this paper cites.
Quantum self-correction in the 3d cubic code model ,
S. Bravyi and J. Haah, · 2013
Earlier work this paper cites.
Twist defects and projective non-abelian braiding statistics ,
M. Barkeshli, C.-M. Jian and X.-L. Qi, · 2013
Earlier work this paper cites.
Commuting pauli hamiltonians as maps between free modules ,
J. Haah, · 2013
Earlier work this paper cites.
Changing topology by topological defects in three-dimensional topologically ordered phases ,
A. Mesaros, Y. B. Kim and Y. Ran, · 2013
Earlier work this paper cites.
Lattice quantum codes and exotic topological phases of matter (2013),
J. Haah, · 2013
Earlier work this paper cites.
Bifurcation in entanglement renormalization group flow of a gapped spin model ,
J. Haah, · 2014
Earlier work this paper cites.
Symmetry, defects, and gauging of topological phases ,
M. Barkeshli, P. Bonderson, M. Cheng and Z. Wang, · 2014
Earlier work this paper cites.
A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations ,
S. Vijay, J. Haah and L. Fu, · 2015
Earlier work this paper cites.
Gauging quantum states: From global to local symmetries in many-body systems ,
J. Haegeman, K. Van Acoleyen, N. Schuch, J. I. Cirac and F. Verstraete, · 2015
Cited alongside, same era.
Unfolding the color code ,
A. Kubica, B. Yoshida and F. Pastawski, · 2015
Cited alongside, same era.
Fracton topological order, generalized lattice gauge theory, and duality ,
S. Vijay, J. Haah and L. Fu, · 2016
Cited alongside, same era.
Fractal symmetries: Ungauging the cubic code ,
D. J. Williamson, · 2016
Cited alongside, same era.
Localization from superselection rules in translationally invariant systems ,
I. H. Kim and J. Haah, · 2016
Cited alongside, same era.
Globally symmetric topological phase: from anyonic symmetry to twist defect ,
J. C. Y. Teo, · 2016
Cited alongside, same era.
Emergent phases of fractonic matter ,
A. Prem, M. Pretko and R. M. Nandkishore, · 2018
Later among the works it cites.
Pinch point singularities of tensor spin liquids ,
A. Prem, S. Vijay, Y.-Z. Chou, M. Pretko and R. M. Nandkishore, · 2018
Later among the works it cites.
Fracton topological order from the Higgs and partial-confinement mechanisms of rank-two gauge theory ,
H. Ma, M. Hermele and X. Chen, · 2018
Later among the works it cites.
Higgs mechanism in higher-rank symmetric U ( 1 ) {U}(1) gauge theories ,
D. Bulmash and M. Barkeshli, · 2018
Later among the works it cites.
Generalized U ( 1 ) {U}(1) gauge field theories and fractal dynamics ,
D. Bulmash and M. Barkeshli, · 2018
Later among the works it cites.
Gauge structures: From stabilizer codes to continuum models ,
A. T. Schmitz, · 2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Symmetry fractionalization and twist defects ,
N. Tarantino, N. H. Lindner and L. Fidkowski, · 2016
Cited alongside, same era.
Matrix product operators for symmetry-protected topological phases: Gauging and edge theories ,
D. J. Williamson, N. Bultinck, M. Mariën, M. B. Şahinoğlu, J. Haegeman and F. Verstraete, · 2016
Cited alongside, same era.
Constructing topological models by symmetrization: A projected entangled pair states study ,
C. Fernández-González, R. S. K. Mong, O. Landon-Cardinal, D. Pérez-García and N. Schuch, · 2016
Cited alongside, same era.
Fracton topological order via coupled layers ,
H. Ma, E. Lake, X. Chen and M. Hermele, · 2017
Cited alongside, same era.
Isotropic layer construction and phase diagram for fracton topological phases ,
S. Vijay, · 2017
Cited alongside, same era.
Fracton topological order from nearest-neighbor two-spin interactions and dualities ,
K. Slagle and Y. B. Kim, · 2017
Cited alongside, same era.
Fractonic matter in symmetry-enriched u(1) gauge theory ,
D. J. Williamson, Z. Bi and M. Cheng, · 2018
Later among the works it cites.
Fracton-elasticity duality ,
M. Pretko and L. Radzihovsky, · 2018
Later among the works it cites.
Fractonic line excitations: An inroad from three-dimensional elasticity theory ,
S. Pai and M. Pretko, · 2018
Later among the works it cites.
Symmetry-enriched fracton phases from supersolid duality ,
M. Pretko and L. Radzihovsky, · 2018
Later among the works it cites.
Symmetry enforced fractonicity and 2 d 2d quantum crystal melting ,
A. Kumar and A. C. Potter, · 2018
Later among the works it cites.
Symmetric tensor gauge theories on curved spaces ,
K. Slagle, A. Prem and M. Pretko, · 2018
Later among the works it cites.
Entanglement entropy from tensor network states for stabilizer codes ,
H. He, Y. Zheng, B. A. Bernevig and N. Regnault, · 2018
Later among the works it cites.
Topological entanglement entropy of fracton stabilizer codes ,
H. Ma, A. T. Schmitz, S. A. Parameswaran, M. Hermele and R. M. Nandkishore, · 2018
Later among the works it cites.
Recoverable information and emergent conservation laws in fracton stabilizer codes ,
A. T. Schmitz, H. Ma, R. M. Nandkishore and S. A. Parameswaran, · 2018
Later among the works it cites.
Universal entanglement signatures of foliated fracton phases ,
W. Shirley, K. Slagle and X. Chen, · 2018
Later among the works it cites.
X-cube model on generic lattices: Fracton phases and geometric order ,
K. Slagle and Y. B. Kim, · 2018
Later among the works it cites.
Fracton models on general three-dimensional manifolds ,
W. Shirley, K. Slagle, Z. Wang and X. Chen, · 2018
Later among the works it cites.
Towards classification of Fracton phases: the multipole algebra ,
A. Gromov, · 2018
Later among the works it cites.
Haah codes on general three manifolds ,
K. T. Tian, E. Samperton and Z. Wang, · 2018
Later among the works it cites.
Classification of translation invariant topological pauli stabilizer codes for prime dimensional qudits on two-dimensional lattices ,
J. Haah, · 2018
Later among the works it cites.
Fractional excitations in foliated fracton phases ,
W. Shirley, K. Slagle and X. Chen, · 2018
Later among the works it cites.
Fractal Symmetric Phases of Matter ,
T. Devakul, Y. You, F. J. Burnell and S. L. Sondhi, · 2019
Closest in time.
Spurious topological entanglement entropy from subsystem symmetries ,
D. J. Williamson, A. Dua and M. Cheng, · 2019
Closest in time.
Localization in fractonic random circuits ,
S. Pai, M. Pretko and R. M. Nandkishore, · 2019
Closest in time.
Chiral topological elasticity and fracton order ,
A. Gromov, · 2019
Closest in time.
Hyperbolic fracton model, subsystem symmetry, and holography ,
H. Yan, · 2019
Closest in time.
Fractons ,
R. M. Nandkishore and M. Hermele, · 2019
Closest in time.
Entanglement spectra of stabilizer codes: A window into gapped quantum phases of matter ,
A. T. Schmitz, S.-J. Huang and A. Prem, · 2019
Closest in time.
Cage-net fracton models ,
A. Prem, S.-J. Huang, H. Song and M. Hermele, · 2019
Closest in time.
Foliated field theory and string-membrane-net condensation picture of fracton order ,
K. Slagle, D. Aasen and D. Williamson, · 2019
Closest in time.
Twisted fracton models in three dimensions ,
H. Song, A. Prem, S.-J. Huang and M. A. Martin-Delgado, · 2019
Closest in time.
Foliated fracton order in the checkerboard model ,
W. Shirley, K. Slagle and X. Chen, · 2019
Closest in time.