Matthew B. Hastings

Q: What Schools Are Affiliated With Matthew B. Hastings

Matthew B. Hastings is affiliated with the following schools: University of California, Santa Barbara, Duke University

Matthew B. Hastings's AcademicInfluence.com Rankings

Matthew B. Hastings

Physics

#5951

World Rank

#7847

Historical Rank

physics Degrees

Download Badge

Physics

Matthew B. Hastings's Degrees

Bachelors Physics California Institute of Technology

Why Is Matthew B. Hastings Influential?

(Suggest an Edit or Addition)

(See a Problem?)

Matthew B. Hastings's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

An area law for one-dimensional quantum systems (2007) (764)
Area laws in quantum systems: mutual information and correlations. (2007) (504)
Spectral Gap and Exponential Decay of Correlations (2005) (501)
Superadditivity of communication capacity using entangled inputs (2009) (440)
Progress towards practical quantum variational algorithms (2015) (436)
Lieb-Schultz-Mattis in higher dimensions (2003) (434)
Lieb-Robinson bounds and the generation of correlations and topological quantum order. (2006) (429)
Scalable designs for quasiparticle-poisoning-protected topological quantum computation with Majorana zero modes (2016) (412)
Towards the fast scrambling conjecture (2011) (347)
Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance (2005) (278)
Topological quantum order: Stability under local perturbations (2010) (275)
Measuring Renyi entanglement entropy in quantum Monte Carlo simulations. (2010) (236)
Gate count estimates for performing quantum chemistry on small quantum computers (2013) (228)
Strong and weak thermalization of infinite nonintegrable quantum systems. (2010) (215)
Community detection as an inference problem. (2006) (204)
Solving strongly correlated electron models on a quantum computer (2015) (186)
Hybrid quantum-classical approach to correlated materials (2015) (184)
Solving gapped Hamiltonians locally (2005) (175)
Topological entanglement entropy of a Bose-Hubbard spin liquid (2011) (163)
Improving quantum algorithms for quantum chemistry (2014) (160)
A Short Proof of Stability of Topological Order under Local Perturbations (2010) (155)
Disordered topological insulators via C*-algebras (2010) (152)
The Trotter step size required for accurate quantum simulation of quantum chemistry (2014) (149)
Entropy and entanglement in quantum ground states (2007) (149)
A counterexample to additivity of minimum output entropy (2008) (144)
Laplacian growth as one-dimensional turbulence (1996) (142)
Locality in quantum and Markov dynamics on lattices and networks. (2004) (121)
Locality in Quantum Systems (2010) (120)
Quantum Algorithm for Simulating Real Time Evolution of Lattice Hamiltonians (2018) (111)
Matrix product states for dynamical simulation of infinite chains. (2009) (99)
Faster phase estimation (2013) (98)
Quantization of Hall Conductance for Interacting Electrons on a Torus (2013) (96)
Dirac structure, RVB, and Goldstone modes in thekagoméantiferromagnet (2000) (81)
Topological Insulators and C^*-Algebras: Theory and Numerical Practice (2010) (79)
Intermittent polaron dynamics: Born-Oppenheimer approximation out of equilibrium (2006) (78)
Classical and quantum bounded depth approximation algorithms (2019) (77)
Homological product codes (2013) (77)
Training A Quantum Optimizer (2016) (75)
Topological order at nonzero temperature. (2011) (72)
Multiscaling at Point J: jamming is a critical phenomenon. (2003) (72)
Anomalies in the entanglement properties of the square-lattice Heisenberg model (2011) (69)
Quantum systems on non-k-hyperfinite complexes: a generalization of classical statistical mechanics on expander graphs (2013) (68)
Random unitaries give quantum expanders (2007) (67)
Classical and quantum tensor product expanders (2008) (65)
Quantum Algorithm for Spectral Measurement with a Lower Gate Count. (2017) (64)
Quantum belief propagation: An algorithm for thermal quantum systems (2007) (62)
Magic state distillation with low space overhead and optimal asymptotic input count (2017) (59)
On Complexity of the Quantum Ising Model (2014) (59)
Conformal invariance and stochastic Loewner evolution processes in two-dimensional Ising spin glasses. (2006) (59)
Obstructions to classically simulating the quantum adiabatic algorithm (2013) (59)
Quantum-limited sensitivity of single-electron-transistor-based displacement detectors. (2003) (58)
Codes and Protocols for Distilling T, controlled-S, and Toffoli Gates (2017) (57)
Sufficient conditions for topological order in insulators (2004) (57)
Almost commuting matrices, localized Wannier functions, and the quantum Hall effect (2009) (55)
Fiber bundle codes: breaking the n1/2 polylog(n) barrier for Quantum LDPC codes (2021) (55)
Making Almost Commuting Matrices Commute (2008) (53)
Finite-size scaling of mutual information in Monte Carlo simulations: Application to the spin-1/2 XXZ model (2010) (50)
Entanglement versus gap for one-dimensional spin systems (2009) (49)
How Dynamical Quantum Memories Forget (2020) (49)
The stability of free fermi Hamiltonians (2017) (49)
Slowest local operators in quantum spin chains. (2014) (47)
Universal Signatures of Fractionalized Quantum Critical Points (2011) (47)
Diffusion processes on power-law small-world networks. (2005) (47)
Ratchet cellular automata. (2002) (46)
Projective ribbon permutation statistics: A remnant of non-Abelian braiding in higher dimensions (2010) (46)
Quasi-adiabatic Continuation for Disordered Systems: Applications to Correlations, Lieb-Schultz-Mattis, and Hall Conductance (2010) (44)
Nonzero-temperature entanglement negativity of quantum spin models: Area law, linked cluster expansions, and sudden death. (2015) (43)
Markov entropy decomposition: a variational dual for quantum belief propagation. (2010) (42)
Mean-field and anomalous behavior on a small-world network. (2003) (42)
Dynamically Generated Logical Qubits (2021) (41)
Trivial low energy states for commuting Hamiltonians, and the quantum PCP conjecture (2012) (41)
Distillation with Sublogarithmic Overhead. (2017) (41)
Finite-temperature critical behavior of mutual information. (2011) (40)
Exact multifractal spectra for arbitrary laplacian random walks. (2001) (39)
Scaling in small-world resistor networks (2005) (37)
Light Cone Matrix Product (2009) (36)
Roughness scaling for Edwards-Wilkinson relaxation in small-world networks. (2004) (35)
Depinning by fracture in a glassy background. (2002) (35)
Metaplectic Anyons, Majorana Zero Modes, and their Computational Power (2012) (34)
From local to global ground states in Ising spin glasses (2014) (33)
Entanglement scaling in two-dimensional gapless systems (2011) (33)
Weight reduction for quantum codes (2016) (32)
Decay of correlations in Fermi systems at nonzero temperature. (2004) (32)
Valence bond and von Neumann entanglement entropy in Heisenberg ladders. (2009) (31)
Fractal to nonfractal phase transition in the dielectric breakdown model. (2001) (30)
Nontrivial Quantum Cellular Automata in Higher Dimensions (2018) (29)
On Metaplectic Modular Categories and Their Applications (2013) (29)
How quantum are non-negative wavefunctions? (2015) (29)
Quantum Codes from High-Dimensional Manifolds (2016) (29)
Rectification and phase locking for particles on symmetric two-dimensional periodic substrates. (2001) (29)
The Power of Adiabatic Quantum Computation with No Sign Problem (2020) (28)
Galois Conjugates of Topological Phases (2011) (27)
Classification of Quantum Cellular Automata (2019) (27)
Weakly-Coupled non-Abelian Anyons in Three Dimensions (2011) (26)
Quantization of Hall Conductance For Interacting Electrons Without Averaging Assumptions (2009) (24)
RENORMALIZATION THEORY OF STOCHASTIC GROWTH (1996) (24)
Do vortices entangle? (2003) (24)
Growth exponents with 3.99 walkers. (2001) (22)
Entanglement vs. gap for one-dimensional spin systems (2008) (22)
Connecting entanglement in time and space: Improving the folding algorithm (2014) (22)
Reduced space-time and time costs Ising dislocation codes and arbitrary ancillas (2014) (21)
Random Tensor Theory: Extending Random Matrix Theory to Mixtures of Random Product States (2009) (20)
Quantum adiabatic computation with a constant gap is not useful in one dimension. (2009) (20)
Observations outside the light cone: Algorithms for nonequilibrium and thermal states (2008) (20)
Turning gate synthesis errors into incoherent errors (2016) (19)
Can quantum chemistry be performed on a small quantum computer (2013) (19)
Boundaries for the Honeycomb Code (2021) (19)
The Group Structure of Quantum Cellular Automata (2019) (18)
Classifying quantum phases with the Kirby torus trick (2013) (18)
Entropic tightening of vibrated chains. (2001) (18)
Adiabatic paths of Hamiltonians, symmetries of topological order, and automorphism codes (2022) (18)
Decoding in Hyperbolic Spaces: LDPC Codes With Linear Rate and Efficient Error Correction (2013) (18)
Systematic series expansions for processes on networks. (2005) (17)
Decoding in hyperbolic spaces: quantum LDPC codes with linear rate and efficient error correction (2014) (17)
Towards Practical Quantum Variational Algorithms (2015) (16)
Self-correcting quantum memories beyond the percolation threshold. (2013) (16)
Quasi-adiabatic continuation in gapped spin and fermion systems: Goldstone’s theorem and flux periodicity (2006) (16)
Eigenvalue Distribution in the Self-Dual Non-Hermitian Ensemble (1999) (15)
Conformal Invariance and SLE in Two-Dimensional Ising Spin Glasses (2006) (15)
Magic state distillation at intermediate size (2017) (15)
Double Semions in Arbitrary Dimension (2015) (14)
Random vibrational networks and the renormalization group. (2002) (14)
Topology and phases in fermionic systems (2007) (14)
Nonlinear dynamics, rectification, and phase locking for particles on symmetrical two-dimensional periodic substrates with dc and circular ac drives. (2003) (13)
Exactly solvable model for a 4+1D beyond-cohomology symmetry-protected topological phase (2019) (13)
The Asymptotics of Quantum Max-Flow Min-Cut (2016) (11)
Classical and Quantum Algorithms for Tensor Principal Component Analysis (2019) (11)
Performance of Planar Floquet Codes with Majorana-Based Qubits (2022) (11)
60 26 v 2 [ qu an tph ] 1 5 Se p 20 11 Topological Order at Non-zero Temperature (2011) (11)
Matrix product operators and central elements: Classical description of a quantum state (2012) (11)
Statistical mechanics of interfering links. (2004) (10)
Small Majorana fermion codes (2017) (10)
Disentangling the Generalized Double Semion Model (2019) (10)
An $\mathsf{\epsilon}$-expansion for small-world networks (2004) (10)
Random MERA states and the tightness of the Brandao-Horodecki entropy bound (2015) (10)
Fast Quantum Algorithm for Spectral Properties (2017) (9)
Optimal Circuit-Level Decoding for Surface Codes (2016) (9)
Duality in Quantum Quenches and Classical Approximation Algorithms: Pretty Good or Very Bad (2019) (9)
Gravitational anomaly of 3+1 dimensional Z_2 toric code with fermionic charges and fermionic loop self-statistics (2021) (9)
Building manifolds from quantum codes (2020) (8)
Ground State and Spin-Glass Phase of the Large-N Infinite-Range Spin Glass via Supersymmetry (1999) (8)
Quantum dynamics in nonequilibrium strongly correlated environments (2002) (8)
Optimizing strongly interacting fermionic Hamiltonians (2021) (7)
Diffusion processes on small-world networks with distance dependent random links (2007) (7)
A Short Path Quantum Algorithm for Exact Optimization (2018) (7)
On Quantum Weight Reduction (2021) (7)
Fermionic mapping for eigenvalue correlation functions of weakly non-Hermitian symplectic ensemble (1999) (6)
Dirac, Anderson, and Goldstone on the Kagome (2000) (6)
Inference from matrix products: a heuristic spin-glass algorithm. (2008) (6)
Fiber Bundle Codes: Breaking the $N^{1/2} \operatorname{polylog}(N)$ Barrier for Quantum LDPC Codes (2020) (5)
Breakdown of Conformal Invariance at Strongly Random Critical Points (2000) (5)
Union-Find Decoders For Homological Product Codes (2020) (5)
Non-Hermitian Fermion Mapping for One-Component Plasma (1997) (5)
2 8 M ay 2 01 3 Classifying Quantum Phases With The Torus Trick (2013) (5)
Effect of thermal fluctuations in topological p-wave superconductors (2012) (5)
Notes on Some Questions in Mathematical Physics and Quantum Information (2014) (5)
Synchronization and Dephasing of Many-Body States in Optical Lattices (2008) (4)
RENORMALIZATION GROUP FOR THE LARGE-N STRONGLY COMMENSURATE DIRTY BOSON MODEL (1998) (4)
Finite Size Scaling of Mutual Information: A Scalable Simulation (2010) (4)
Spin-orbit scattering and time-reversal symmetry: Detection of a spin by tunneling (2004) (4)
Bose glass in a large- N commensurate dirty boson model (1998) (4)
Scaling relations in the quasi-two-dimensional Heisenberg antiferromagnet (2006) (4)
Weaker Assumptions for the Short Path Optimization Algorithm (2018) (3)
Ratchet superconducting vortex cellular automata (2004) (3)
Self-correction in Wegner's three-dimensional Ising lattice gauge theory (2018) (3)
Valency Interactions in AHm0,.-+. (Hydrides of Main Group Elements, Radicals, Cations, Anions) and MO Energy Level Patterns Directly from the Pictorial "VIF" Method Compared with Computer Calculations (1994) (3)
Universal scaling relations in strongly anisotropic materials. (2005) (3)
Gapped Quantum Systems: From Higher Dimensional Lieb-Schultz-Mattis to the Quantum Hall Effect (2021) (3)
Symmetry Protected Quantum Computation (2021) (3)
On Lieb-Robinson Bounds for the Double Bracket Flow (2022) (2)
Processes on annealed and quenched power-law small-world networks (2005) (2)
Glassy ratchets for collectively interacting particles (2003) (2)
The Short Path Algorithm Applied to a Toy Model (2019) (2)
Renormalization of resonant tunneling in MOSFETs (2003) (2)
Testing the Collective Properties of Small-World Networks through Roughness Scaling (2003) (2)
An ǫ-expansion for Small-World Networks (2004) (2)
Effective Gauge Theories of Spin Systems (2000) (1)
Perturbation Theory and the Sum of Squares (2022) (1)
Critical Behavior of Mutual Information (2011) (1)
Scale-Invariant Branch Distribution from a Soluble Stochastic Model (2002) (1)
Local Maxima and Improved Exact Algorithm for MAX-2-SAT (2016) (1)
Universal large-scale entanglement in two-dimensional gapless systems (2011) (1)
Statistics of partial minima (2007) (1)
Scalable Designs for Topological Quantum Computation with Majorana Zero Modes: Part 2 Measurement (2017) (1)
High-dimensional diffusive growth (2000) (1)
Field Theory and The Sum-of-Squares for Quantum Systems (2023) (0)
Critical phenomena in a small world (2004) (0)
Towards the fast scrambling conjecture (2013) (0)
Dielectric breakdown model at small eta: pole dynamics. (1999) (0)
Flow Equation Approach to the Statistics of Nonlinear Dynamical Systems (2005) (0)
Ju l 2 01 5 Towards Practical Quantum Variational Algorithms (2015) (0)
Ju n 20 01 Growth Exponents with 3 . 99 (2022) (0)
Title : Making Almost Commuting Matrices Commute (2008) (0)
29pPSB-16 Spectral Gap and Exponential Decay of Correlations (2006) (0)
Measurement sequences for magic state distillation (2020) (0)
Comment on `Large-N theory of strongly commensurate dirty bosons: absence of a transition in two dimensions' (2002) (0)
A renormalization approach to diffusion-limited aggregation (1997) (0)
Partial Reinitialisation for Optimisers (2015) (0)
Quantum Monte Carlo Calculation of the Topological Entanglement Entropy in a Kagome Spin Liquid (2011) (0)
Conformal Invariance in Two-Dimensional Ising Spin Glasses (2006) (0)
On Metaplectic Modular Categories and Their Applications (2014) (0)
Infinitely many kinds of quantum channels (2008) (0)
A Personal History of the Hastings-Michalakis Proof of Hall Conductance Quantization (2020) (0)
Fermion Mappings for Logarithmic Coulomb Gas (1997) (0)
A different perspective on the history of the proof of Hall conductance quantization (2020) (0)
Entanglement Entropy in Heisenberg Ladders with Valence Bond QMC (2010) (0)
Double Semions in Arbitrary Dimension (2016) (0)
Disentangling beyond-cohomology symmetry protected topological phases (2019) (0)
Ju n 20 03 Quantum limited sensitivity of SET-based displacement detectors (2021) (0)
The Asymptotics of Quantum Max-Flow Min-Cut (2016) (0)
0 Ju l 2 01 8 An Area Law for One Dimensional Quantum Systems (2018) (0)
Competition of Branches (2001) (0)
Fermion Mapping for Orthogonal and Symplectic Ensembles (1996) (0)
F eb 2 00 8 Quantum Belief Propagation (2008) (0)
Entanglement scaling of the 2D RVB wavefunction (2012) (0)
Intermittent polaron dynamics: Born-Oppenheimer out of equilibrium (2004) (0)
Ratchet Effects for Vortices in Nanostructured Superconductors (2004) (0)
Ju n 20 00 Dirac , Anderson , and Goldstone on the (2022) (0)
Q A ] 3 M ar 2 01 4 ON METAPLECTIC MODULAR CATEGORIES AND THEIR APPLICATIONS (2018) (0)
A Classical Algorithm Which Also Beats $\frac{1}{2}+\frac{2}{\pi}\frac{1}{\sqrt{D}}$ For High Girth MAX-CUT (2021) (0)
On Complexity of the Quantum Ising Model (2016) (0)
B 99 , 094103 ( 2019 ) Self-correction in Wegner ’ s three-dimensional Ising lattice gauge theory (2019) (0)
Part I Decay of Correlation Functions in Matrix Product States (2014) (0)
Von Neumann and Renyi Entanglement Entropies in Spin Ladders (2010) (0)
Analytic models of Laplacian growth. (1996) (0)
Average case complexity of low-dimensional Ising spin glasses (2014) (0)
Optimisation by hierarchical search (2015) (0)
The integer quantum hall effect revisited (2009) (0)
A Classical Algorithm Which Also Beats 1/2 + 2/π 1/√D For High Girth MAX-CUT (2021) (0)
Classification of Quantum Cellular Automata (2020) (0)
Quantization of Hall Conductance for Interacting Electrons on a Torus (2014) (0)
Entanglement of Sections, Examples Looking for a Theory (2023) (0)
Scalable Designs for Topological Quantum Computation with Majorana Zero Modes: Part 1, Overview (2017) (0)
Multiscaling at the Jamming Transition (2003) (0)
Scaling of entanglement entropy in the 2D Heisenberg ground state (2012) (0)
Random Tensor Theory: Extending Random Matrix Theory to Mixtures of Random Product States (2012) (0)
Gravitational anomaly of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> -dimensional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi mathv (2022) (0)

This paper list is powered by the following services:

What Schools Are Affiliated With Matthew B. Hastings?

Matthew B. Hastings is affiliated with the following schools: