Fluctuations of the Magnetization for Ising Models on Dense Erdős–Rényi Random Graphs
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-019-02358-5
Abstract: We analyze Ising/Curie-Weiss models on the (directed) Erdős-Renyi random graph on $N$ vertices in which every edge is present with probability $p$. These models were introduced by Bovier and Gayrard [J. Stat. Phys., 1993]. We… read more here.
Keywords: models dense; ising models; fluctuations magnetization; random ... See more keywords
Understanding dynamics of coherent Ising machines through simulation of large-scale 2D Ising models
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DOI: 10.1038/s41467-018-07328-1
Abstract: Many problems in mathematics, statistical mechanics, and computer science are computationally hard but can often be mapped onto a ground-state-search problem of the Ising model and approximately solved by artificial spin-networks of coupled degenerate optical… read more here.
Keywords: ising models; understanding dynamics; ising machines; dynamics coherent ... See more keywords
Measuring complex-partition-function zeros of Ising models in quantum simulators
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review A"
DOI: 10.1103/physreva.100.022125
Abstract: Studying the zeros of partition functions in the space of complex control parameters allows one to understand formally how critical behavior of a many-body system can arise in the thermodynamic limit despite various no-go theorems… read more here.
Keywords: quantum simulators; function zeros; partition function; ising models ... See more keywords
Quantum algorithms for hedging and the learning of Ising models
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review A"
DOI: 10.1103/physreva.103.012418
Abstract: A paradigmatic algorithm for online learning is the Hedge algorithm by Freund and Schapire. An allocation into different strategies is chosen for multiple rounds and each round incurs corresponding losses for each strategy. The algorithm… read more here.
Keywords: learning ising; algorithm; ising models; hedging learning ... See more keywords
Kinetic Ising models with self-interaction: Sequential and parallel updating.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review. E"
DOI: 10.1103/physreve.101.012122
Abstract: Kinetic Ising models on the square lattice with both nearest-neighbor interactions and self-interaction are studied for the cases of random sequential updating and parallel updating. The equilibrium phase diagrams and critical dynamics are studied using… read more here.
Keywords: parallel updating; self interaction; kinetic ising; ising models ... See more keywords
Can Nonlinear Parametric Oscillators Solve Random Ising Models?
Sign Up to like & getrecommendations! Published in 2021 at "Physical review letters"
DOI: 10.1103/physrevlett.126.143901
Abstract: We study large networks of parametric oscillators as heuristic solvers of random Ising models. In these networks, known as coherent Ising machines, the model to be solved is encoded in the coupling between the oscillators,… read more here.
Keywords: random ising; model; parametric oscillators; state ... See more keywords
Fast-Converging Simulated Annealing for Ising Models Based on Integral Stochastic Computing.
Sign Up to like & getrecommendations! Published in 2022 at "IEEE transactions on neural networks and learning systems"
DOI: 10.1109/tnnls.2022.3159713
Abstract: Probabilistic bits (p-bits) have recently been presented as a spin (basic computing element) for the simulated annealing (SA) of Ising models. In this brief, we introduce fast-converging SA based on p-bits designed using integral stochastic… read more here.
Keywords: annealing ising; ising models; integral stochastic; simulated annealing ... See more keywords