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Title: Entanglement entropy from tensor network states for stabilizer codes

Journal Article · · Physical Review B

Sponsoring Organization:
USDOE
Grant/Contract Number:
de-sc0016239
OSTI ID:
1423389
Journal Information:
Physical Review B, Journal Name: Physical Review B Vol. 97 Journal Issue: 12; ISSN 2469-9950
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 10 works
Citation information provided by
Web of Science

References (81)

A new kind of topological quantum order: A dimensional hierarchy of quasiparticles built from stationary excitations journal December 2015
Systematic construction of spin liquids on the square lattice from tensor networks with SU(2) symmetry journal November 2016
Three-dimensional topological lattice models with surface anyons journal January 2013
Entanglement entropy in free quantum field theory journal December 2009
Commuting Pauli Hamiltonians as Maps between Free Modules journal October 2013
Fractons from partons journal October 2017
From coupled Rashba electron- and hole-gas layers to three-dimensional topological insulators journal May 2016
Class of Quantum Many-Body States That Can Be Efficiently Simulated journal September 2008
Quantum Glassiness in Strongly Correlated Clean Systems: An Example of Topological Overprotection journal January 2005
Phase transitions in three-dimensional topological lattice models with surface anyons journal December 2013
Glassy quantum dynamics in translation invariant fracton models journal April 2017
Class of quantum error-correcting codes saturating the quantum Hamming bound journal September 1996
Matrix product states for trial quantum Hall states journal April 2013
Constructing a Gapless Spin-Liquid State for the Spin- 1 / 2 J 1 − J 2 Heisenberg Model on a Square Lattice journal July 2013
Anyon condensation and tensor categories journal September 2014
Bifurcation in entanglement renormalization group flow of a gapped spin model journal February 2014
Topological Characterization of Fractional Quantum Hall Ground States from Microscopic Hamiltonians journal June 2013
Topological Order in the Projected Entangled-Pair States Formalism: Transfer Operator and Boundary Hamiltonians journal August 2013
Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States journal July 2008
Modular matrices as topological order parameter by a gauge-symmetry-preserved tensor renormalization approach journal November 2014
Emergent phases of fractonic matter journal February 2018
A practical introduction to tensor networks: Matrix product states and projected entangled pair states journal October 2014
Field theories for gauged symmetry-protected topological phases: Non-Abelian anyons with Abelian gauge group Z 2 ⊗ 3 journal January 2017
Detecting Topological Order in a Ground State Wave Function journal March 2006
Local stabilizer codes in three dimensions without string logical operators journal April 2011
Topological Entanglement Entropy journal March 2006
Walker-Wang models and axion electrodynamics journal January 2015
Density matrix formulation for quantum renormalization groups journal November 1992
Edge-entanglement spectrum correspondence in a nonchiral topological phase and Kramers-Wannier duality journal March 2015
(3+1)-TQFTs and topological insulators journal July 2011
PEPS as ground states: Degeneracy and topology journal October 2010
Explicit tensor network representation for the ground states of string-net models journal February 2009
Generalized electromagnetism of subdimensional particles: A spin liquid story journal July 2017
Tensor-product representations for string-net condensed states journal February 2009
Symmetry reduction induced by anyon condensation: A tensor network approach journal October 2017
Resonating-valence-bond superconductors with fermionic projected entangled pair states journal June 2014
Quantum Self-Correction in the 3D Cubic Code Model journal November 2013
Fermionic topological quantum states as tensor networks journal June 2017
Simple anisotropic three-dimensional quantum spin liquid with fractonlike topological order journal December 2017
Topological order in an exactly solvable 3D spin model journal April 2011
Emergent particle-hole symmetry in spinful bosonic quantum Hall systems journal August 2017
Fracton topological order via coupled layers journal June 2017
Condensation-driven phase transitions in perturbed string nets journal October 2017
Shadows of anyons and the entanglement structure of topological phases journal October 2015
Fractal symmetries: Ungauging the cubic code journal October 2016
Finite-temperature screening of U (1) fractons journal September 2017
Emergent gravity of fractons: Mach’s principle revisited journal July 2017
The density-matrix renormalization group in the age of matrix product states journal January 2011
Quantum field theory of X-cube fracton topological order and robust degeneracy from geometry journal November 2017
Twisted gauge theory model of topological phases in three dimensions journal July 2015
Entanglement phases as holographic duals of anyon condensates journal June 2017
Algebraic Methods for Quantum Codes on Lattices journal January 2017
Fracton topological order, generalized lattice gauge theory, and duality journal December 2016
No-go theorem for boson condensation in topologically ordered quantum liquids journal December 2016
Diagrammatics for Bose condensation in anyon theories journal November 2014
Topological entanglement entropy of fracton stabilizer codes journal March 2018
Plaquette Ising models, degeneracy and scaling journal April 2017
Entanglement spectrum and boundary theories with projected entangled-pair states journal June 2011
Characterization and stability of a fermionic ν = 1 / 3 fractional Chern insulator journal January 2015
Higher-spin Witten effect and two-dimensional fracton phases journal September 2017
Competing Abelian and non-Abelian topological orders in ν = 1 / 3 + 1 / 3 quantum Hall bilayers journal May 2015
Subdimensional particle structure of higher rank U ( 1 ) spin liquids journal March 2017
Correlation Lengths and Topological Entanglement Entropies of Unitary and Nonunitary Fractional Quantum Hall Wave Functions journal May 2015
Fracton Topological Phases from Strongly Coupled Spin Chains journal December 2017
Matrix product state representation of non-Abelian quasiholes journal July 2015
Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence journal May 2006
Classical simulation of quantum many-body systems with a tree tensor network journal August 2006
Infinite density matrix renormalization group for multicomponent quantum Hall systems journal January 2015
String-net condensation: A physical mechanism for topological phases journal January 2005
Gapped spin liquid with Z 2 topological order for the kagome Heisenberg model journal June 2017
Fault-tolerant quantum computation by anyons journal January 2003
Twisted quantum double model of topological phases in two dimensions journal March 2013
Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence journal June 2015
Twisted injectivity in projected entangled pair states and the classification of quantum phases journal December 2014
Exact matrix product states for quantum Hall wave functions journal December 2012
Correlation function diagnostics for type-I fracton phases journal January 2018
Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems journal March 2008
Colloquium : Zoo of quantum-topological phases of matter journal December 2017
Symmetry protection of topological phases in one-dimensional quantum spin systems journal February 2012
Resonating valence bond states in the PEPS formalism journal September 2012
Boson condensation in topologically ordered quantum liquids journal March 2016