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Polynomial-Time Approximation Algorithms for the Ising Model

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Algorithms for Random Generation and Counting: A Markov Chain Approach
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Two-dimensional monomer-dimer systems are computationally intractable
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Eigenvalues and expanders
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Some observations on the probabilistic algorithms and NP-hard problems
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Isoperimetric numbers of graphs
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Some simplified NP-complete graph problems
inferredcites →https://doi.org/10.1016/0304-3975(86)90174-xopenalex-snapshot
Random generation of combinatorial structures from a uniform distribution
inferredcites →https://doi.org/10.1016/0890-5401(89)90067-9openalex-snapshot
Approximate counting, uniform generation and rapidly mixing Markov chains
inferredcites →https://doi.org/10.1017/s0963548300000390openalex-snapshot
Improved Bounds for Mixing Rates of Markov Chains and Multicommodity Flow
inferredcites →https://doi.org/10.1063/1.1703953openalex-snapshot
Dimer Statistics and Phase Transitions
inferredcites →https://doi.org/10.1063/1.1704825openalex-snapshot
On the Dimer Solution of Planar Ising Models
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An Introduction to Probability Theory and Its Applications, Vol. 2
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On the computational complexity of Ising spin glass models
inferredcites →https://doi.org/10.1090/s0002-9947-1984-0743744-xopenalex-snapshot
Difference Equations, Isoperimetric Inequality and Transience of Certain Random Walks
inferredcites →https://doi.org/10.1103/revmodphys.25.353openalex-snapshot
On the Theory of the Ising Model of Ferromagnetism
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Optimization by Simulated Annealing
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Approximating the Permanent
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A random polynomial-time algorithm for approximating the volume of convex bodies
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Geometric Bounds for Eigenvalues of Markov Chains
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The Art of Computer Programming
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An Introduction to the Ising Model

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Polynomial-time approximation algorithms for the antiferromagnetic Ising model on line graphs
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Generalised versions of separable decompositions applicable to bipartite entangled quantum states
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inferred← citeshttps://doi.org/10.1088/1742-5468/ab3218openalex-snapshot
Bucket renormalization for approximate inference*
inferred← citeshttps://doi.org/10.1088/1742-5468/abcaf1openalex-snapshot
Tractable minor-free generalization of planar zero-field Ising models
inferred← citeshttps://doi.org/10.1088/1751-8121/aa565fopenalex-snapshot
Quantum circuits and low-degree polynomials over F 2
inferred← citeshttps://doi.org/10.1088/2058-9565/ae57d6openalex-snapshot
Counting with the quantum alternating operator ansatz
inferred← citeshttps://doi.org/10.1089/cmb.2007.0144openalex-snapshot
Analysis of Basic Clustering Algorithms for Numerical Estimation of Statistical Averages in Biomolecules
inferred← citeshttps://doi.org/10.1090/memo/1092openalex-snapshot
A power law of order 1/4 for critical mean field Swendsen-Wang dynamics
inferred← citeshttps://doi.org/10.1090/pspum/110/02007openalex-snapshot
What is a combinatorial interpretation?
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.001.0001openalex-snapshot
The Nature of Computation
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.002.0003openalex-snapshot
Copyright Page
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.002.0004openalex-snapshot
Dedication
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.002.0006openalex-snapshot
Figure Credits
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.002.0007openalex-snapshot
Preface
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0001openalex-snapshot
Prologue
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0002openalex-snapshot
The Basics
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0003openalex-snapshot
Insights and Algorithms
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0004openalex-snapshot
Needles in a Haystack: the Class NP
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0005openalex-snapshot
Who is the Hardest One of All? NP-Completeness
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0006openalex-snapshot
The Deep Question: P vs. NP
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0007openalex-snapshot
The Grand Unified Theory of Computation
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0008openalex-snapshot
Memory, Paths, and Games
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0009openalex-snapshot
Optimization and Approximation
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0010openalex-snapshot
Randomized Algorithms
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0011openalex-snapshot
Interaction and Pseudorandomness
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0012openalex-snapshot
Random Walks and Rapid Mixing
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0013openalex-snapshot
Counting, Sampling, and Statistical Physics
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0014openalex-snapshot
When Formulas Freeze: Phase Transitions in Computation
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.003.0015openalex-snapshot
Quantum Computation
inferred← citeshttps://doi.org/10.1093/acprof:oso/9780199233212.005.0001openalex-snapshot
Mathematical Tools
inferred← citeshttps://doi.org/10.1093/biomet/84.1.1openalex-snapshot
Computational complexity of Markov chain Monte Carlo methods for finite Markov random fields
inferred← citeshttps://doi.org/10.1093/biomet/87.4.749openalex-snapshot
Bounding the convergence time of the Gibbs sampler in Bayesian image restoration
inferred← citeshttps://doi.org/10.1093/biomet/91.3.751openalex-snapshot
Efficient recursions for general factorisable models
inferred← citeshttps://doi.org/10.1098/rspa.2015.0301openalex-snapshot
Quantum speedup of Monte Carlo methods
inferred← citeshttps://doi.org/10.1101/2021.02.24.21252390openalex-snapshot
Graphical Models of Pandemic
inferred← citeshttps://doi.org/10.1101/2023.09.16.558052openalex-snapshot
Efficient Enumeration and Visualization of Helix-coil Ensembles
inferred← citeshttps://doi.org/10.1103/physreva.103.032422openalex-snapshot
Computing partition functions in the one-clean-qubit model
inferred← citeshttps://doi.org/10.1103/physreva.61.022301openalex-snapshot
Problem of equilibration and the computation of correlation functions on a quantum computer
inferred← citeshttps://doi.org/10.1103/physreva.76.042306openalex-snapshot
Quantum speedup of classical mixing processes
inferred← citeshttps://doi.org/10.1103/physreva.78.042336openalex-snapshot
Speedup via quantum sampling
inferred← citeshttps://doi.org/10.1103/physreva.80.022340openalex-snapshot
Quantum algorithm for approximating partition functions
inferred← citeshttps://doi.org/10.1103/physreva.90.022304openalex-snapshot
Quantum algorithm for an additive approximation of Ising partition functions
inferred← citeshttps://doi.org/10.1103/physrevapplied.17.044046openalex-snapshot
High-Quality Thermal Gibbs Sampling with Quantum Annealing Hardware
inferred← citeshttps://doi.org/10.1103/physrevb.96.041119openalex-snapshot
Self-learning quantum Monte Carlo method in interacting fermion systems
inferred← citeshttps://doi.org/10.1103/physrevd.102.094504openalex-snapshot
Perturbative removal of a sign problem
inferred← citeshttps://doi.org/10.1103/physreve.109.055301openalex-snapshot
Ising model partition-function computation as a weighted counting problem
inferred← citeshttps://doi.org/10.1103/physrevlett.101.130504openalex-snapshot
Quantum Simulations of Classical Annealing Processes
inferred← citeshttps://doi.org/10.1103/physrevlett.117.080501openalex-snapshot
Average-Case Complexity Versus Approximate Simulation of Commuting Quantum Computations
inferred← citeshttps://doi.org/10.1103/physrevlett.119.100503openalex-snapshot
Polynomial-Time Classical Simulation of Quantum Ferromagnets
inferred← citeshttps://doi.org/10.1103/physrevlett.128.220503openalex-snapshot
How to Simulate Quantum Measurement without Computing Marginals
inferred← citeshttps://doi.org/10.1103/physrevlett.99.110601openalex-snapshot
Dynamic Critical Behavior of the Worm Algorithm for the Ising Model
inferred← citeshttps://doi.org/10.1103/physrevresearch.7.013001openalex-snapshot
Complexity phase transitions in instantaneous quantum polynomial-time circuits
inferred← citeshttps://doi.org/10.1103/physrevx.11.011047openalex-snapshot
Improved Thermal Area Law and Quasilinear Time Algorithm for Quantum Gibbs States
inferred← citeshttps://doi.org/10.1103/physrevx.15.021085openalex-snapshot
Phase Diagram of Extensive-Rank Symmetric Matrix Denoising beyond Rotational Invariance
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