Title: Prediction of Toric Code Topological Order from Rydberg Blockade

Journal Article · · Physical Review. X

Not Available

Research Organization:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Organization:
National Science Foundation (NSF); Simons Foundation; US Army Research Office (ARO); USDOE; USDOE Office of Science (SC)
Grant/Contract Number:
SC0021013
OSTI ID:
1806373
Journal Information:
Physical Review. X, Journal Name: Physical Review. X Journal Issue: 3 Vol. 11; ISSN PRXHAE; ISSN 2160-3308
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (133)

Charged states in ?2 gauge theories journal March 1983
Quantum field theory and the Jones polynomial journal September 1989
Digital quantum simulation with Rydberg atoms journal September 2011
Resonating valence bonds: A new kind of insulator? journal February 1973
The resonating valence bond state and high-Tc superconductivity — A mean field theory journal September 1987
Dual interpretation of order parameters for lattice gauge theories with matter fields journal April 1988
Fault-tolerant quantum computation by anyons journal January 2003
Anyons in an exactly solved model and beyond journal January 2006
Measuring entanglement entropy in a quantum many-body system journal December 2015
Probing many-body dynamics on a 51-atom quantum simulator journal November 2017
Simulation of non-Abelian gauge theories with optical lattices journal October 2013
Destroying a topological quantum bit by condensing Ising vortices journal December 2014
Observation of Rydberg blockade between two atoms journal January 2009
Observation of collective excitation of two individual atoms in the Rydberg blockade regime journal January 2009
A Rydberg quantum simulator journal March 2010
Identifying topological order by entanglement entropy journal November 2012
Many-body interferometry of a Rydberg-dressed spin lattice journal August 2016
Weak ergodicity breaking from quantum many-body scars journal May 2018
Many-body physics with individually controlled Rydberg atoms journal January 2020
Superconductivity and strong correlations in moiré flat bands journal May 2020
Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator journal April 2019
Duality in Generalized Ising Models and Phase Transitions without Local Order Parameters journal October 1971
Quantum phases of Rydberg atoms on a kagome lattice journal January 2021
Quantum spin liquids: a review journal November 2016
Perspectives of quantum annealing: methods and implementations journal May 2020
Diagnosing deconfinement and topological order journal February 2011
Connection between quantum-many-body scars and the Affleck–Kennedy–Lieb–Tasaki model from the viewpoint of embedded Hamiltonians journal August 2019
Bipartite entanglement and entropic boundary law in lattice spin systems journal February 2005
Surface codes: Towards practical large-scale quantum computation journal September 2012
Effects of molecular resonances on Rydberg blockade journal December 2015
Measuring the Rényi entropy of a two-site Fermi-Hubbard model on a trapped ion quantum computer journal November 2018
Quantum many-body scar states with emergent kinetic constraints and finite-entanglement revivals journal January 2020
Exact eigenstates in the Lesanovsky model, proximity to integrability and the PXP model, and approximate scar states journal March 2020
Quantum many-body scar states in two-dimensional Rydberg atom arrays journal June 2020
Large classes of quantum scarred Hamiltonians from matrix product states journal August 2020
Topology of the resonating valence-bond state: Solitons and high- T c superconductivity journal June 1987
Large- n limit of the Heisenberg-Hubbard model: Implications for high- T c superconductors journal March 1988
Gauge theory of high-temperature superconductors and strongly correlated Fermi systems journal January 1988
Statistics of holons in the quantum hard-core dimer gas journal January 1989
Statistics of the excitations of the resonating-valence-bond state journal October 1989
Vacuum degeneracy of chiral spin states in compactified space journal October 1989
Mean-field theory of spin-liquid states with finite energy gap and topological orders journal August 1991
Spontaneous alignment of frustrated bonds in an anisotropic, three-dimensional Ising model journal July 1991
Kagome´- and triangular-lattice Heisenberg antiferromagnets: Ordering from quantum fluctuations and quantum-disordered ground states with unconfined bosonic spinons journal June 1992
Density-matrix algorithms for quantum renormalization groups journal October 1993
Z 2 gauge theory of electron fractionalization in strongly correlated systems journal September 2000
Short-ranged resonating valence bond physics, quantum dimer models, and Ising gauge theories journal December 2001
Fractionalization in an easy-axis Kagome antiferromagnet journal May 2002
Microscopic models for fractionalized phases in strongly correlated systems journal November 2002
Physics of low-energy singlet states of the Kagome lattice quantum Heisenberg antiferromagnet journal December 2003
Competing density-wave orders in a one-dimensional hard-boson model journal February 2004
Continuous-time diffusion Monte Carlo method applied to the quantum dimer model journal January 2005
Doping quantum dimer models on the square lattice journal July 2006
Spin-liquid states on the triangular and Kagomé lattices: A projective-symmetry-group analysis of Schwinger boson states journal November 2006
Ground state of the spin-1/2 kagome-lattice Heisenberg antiferromagnet journal November 2007
Interacting anyonic fermions in a two-body color code model journal August 2009
Generalized hard-core dimer model approach to low-energy Heisenberg frustrated antiferromagnets: General properties and application to the kagome antiferromagnet journal June 2010
Experimental investigation of an eight-qubit unit cell in a superconducting optimization processor journal July 2010
Impurity-doped kagome antiferromagnet: A quantum dimer model approach journal November 2010
Z 2 spin liquids in the S = 1 2 Heisenberg model on the kagome lattice: A projective symmetry-group study of Schwinger fermion mean-field states journal June 2011
Topological insulators and fractional quantum Hall effect on the ruby lattice journal October 2011
Competing valence bond crystals in the kagome quantum dimer model journal December 2011
Quasiparticle statistics and braiding from ground-state entanglement journal June 2012
Real-space parallel density matrix renormalization group journal April 2013
Phase diagram of the spin- 1 2 J 1 - J 2 Heisenberg model on a honeycomb lattice journal October 2013
Double semion phase in an exactly solvable quantum dimer model on the kagome lattice journal November 2014
Boundary degeneracy of topological order journal March 2015
Z 2 topological liquid of hard-core bosons on a kagome lattice at 1 / 3 filling journal August 2015
Spurious long-range entanglement and replica correlation length journal August 2016
Topological spin liquids in the ruby lattice with anisotropic Kitaev interactions journal September 2016
Unification of bosonic and fermionic theories of spin liquids on the kagome lattice journal November 2017
Quantum scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown of thermalization, and stability to perturbations journal October 2018
Confinement of quarks journal October 1974
Anomalies and bounds on charged operators journal July 2019
Phase diagrams of lattice gauge theories with Higgs fields journal June 1979
Topological Order with a Twist: Ising Anyons from an Abelian Model journal July 2010
Characterizing Topological Order by Studying the Ground States on an Infinite Cylinder journal February 2013
Accuracy of Topological Entanglement Entropy on Finite Cylinders journal September 2013
Plaquette Ordered Phase and Quantum Phase Diagram in the Spin- 1 2 J 1 − J 2 Square Heisenberg Model journal July 2014
Ground-State Degeneracy of Topological Phases on Open Surfaces journal February 2015
Fractionalized Z 2 Classical Heisenberg Spin Liquids journal January 2017
Universal Quantum Computation with Gapped Boundaries journal October 2017
Spurious Topological Entanglement Entropy from Subsystem Symmetries journal April 2019
Emergent SU(2) Dynamics and Perfect Quantum Many-Body Scars journal June 2019
Parallel Implementation of High-Fidelity Multiqubit Gates with Neutral Atoms journal October 2019
Transverse-Field Ising Dynamics in a Rydberg-Dressed Atomic Gas journal February 2020
Complex Density Wave Orders and Quantum Phase Transitions in a Model of Square-Lattice Rydberg Atom Arrays journal March 2020
Protecting Spin Coherence in a Tunable Heisenberg Model journal August 2020
Constructing Quantum Spin Liquids Using Combinatorial Gauge Symmetry journal August 2020
Two-Dimensional Magnetotransport in the Extreme Quantum Limit journal May 1982
Quantum Mechanics of Fractional-Spin Particles journal October 1982
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations journal May 1983
Confinement criterion for QCD with dynamical quarks journal January 1986
Superconductivity and the Quantum Hard-Core Dimer Gas journal November 1988
Large- N expansion for frustrated quantum antiferromagnets journal April 1991
Density matrix formulation for quantum renormalization groups journal November 1992
Fast Quantum Gates for Neutral Atoms journal September 2000
Resonating Valence Bond Phase in the Triangular Lattice Quantum Dimer Model journal February 2001
Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles journal June 2001
Direct Estimations of Linear and Nonlinear Functionals of a Quantum State journal May 2002
Quantum Dimer Model on the Kagome Lattice: Solvable Dimer-Liquid and Ising Gauge Theory journal September 2002
Exotic Order in Simple Models of Bosonic Systems journal December 2002
Numerical Evidences of Fractionalization in an Easy-Axis Two-Spin Heisenberg Antiferromagnet journal April 2005
Topological Entanglement Entropy journal March 2006
Detecting Topological Order in a Ground State Wave Function journal March 2006
Phase Separation and Flux Quantization in the Doped Quantum Dimer Model on Square and Triangular Lattices journal September 2007
Variational Quantum Monte Carlo Simulations with Tensor-Network States journal November 2007
Stabilizing two-dimensional quantum scars by deformation and synchronization journal June 2020
Lattice Gauge Theories and String Dynamics in Rydberg Atom Quantum Simulators journal May 2020
Emerging Two-Dimensional Gauge Theories in Rydberg Configurable Arrays journal June 2020
Quantum Spin-Ice and Dimer Models with Rydberg Atoms journal November 2014
Non-Abelian anyons and topological quantum computation journal September 2008
Quantum information with Rydberg atoms journal August 2010
Quantum error correction for quantum memories journal April 2015
Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E 8 Symmetry journal January 2010
Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet journal April 2011
Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators journal October 2011
The Resonating Valence Bond State in La2CuO4 and Superconductivity journal March 1987
Quantum thermalization through entanglement in an isolated many-body system journal August 2016
Revealing hidden antiferromagnetic correlations in doped Hubbard chains via string correlators journal August 2017
Probing Rényi entanglement entropy via randomized measurements journal April 2019
String patterns in the doped Hubbard model journal July 2019
Observation of a symmetry-protected topological phase of interacting bosons with Rydberg atoms journal August 2019
Quantum spin liquids journal January 2020
Simulating lattice gauge theories within quantum technologies journal August 2020
Topological Orders in Rigid States journal February 1990
Large n Expansion for Frustrated and Doped Quantum Antiferromagnets journal January 1991
Nodal Liquid Theory of the Pseudo-Gap Phase of High-T c Superconductors journal April 1998
Short Range Resonating Valence bond Theories and Superconductivity journal February 1990
Comment on “Spin Transport Properties of the Quantum One-Dimensional Non-Linear Sigma Model” journal August 2000
Studying Two-Dimensional Systems with the Density Matrix Renormalization Group journal March 2012
Superconducting Qubits: Current State of Play journal March 2020
DMRG investigation of constrained models: from quantum dimer and quantum loop ladders to hard-boson and Fibonacci anyon chains journal January 2019