Ising machines as hardware solvers of combinatorial optimization problems

N Mohseni, PL McMahon, T Byrnes - Nature Reviews Physics, 2022 - nature.com
Ising machines are hardware solvers that aim to find the absolute or approximate ground
states of the Ising model. The Ising model is of fundamental computational interest because …

Coherent SAT solvers: a tutorial

S Reifenstein, T Leleu, T McKenna… - Advances in Optics …, 2023 - opg.optica.org
The coherent Ising machine (CIM) is designed to solve the NP-hard Ising problem quickly
and energy efficiently. Boolean satisfiability (SAT) and maximum satisfiability (Max-SAT) are …

Experimental investigation of performance differences between coherent Ising machines and a quantum annealer

R Hamerly, T Inagaki, PL McMahon, D Venturelli… - Science …, 2019 - science.org
Physical annealing systems provide heuristic approaches to solving combinatorial
optimization problems. Here, we benchmark two types of annealing machines—a quantum …

Formulating and solving routing problems on quantum computers

S Harwood, C Gambella, D Trenev… - IEEE Transactions …, 2021 - ieeexplore.ieee.org
The determination of vehicle routes fulfilling connectivity, time, and operational constraints is
a well-studied combinatorial optimization problem. The NP-hard complexity of vehicle …

OIM: Oscillator-based Ising machines for solving combinatorial optimisation problems

T Wang, J Roychowdhury - … Conference, UCNC 2019, Tokyo, Japan, June …, 2019 - Springer
We present a new way to make Ising machines, ie, using networks of coupled self-sustaining
nonlinear oscillators. Our scheme is theoretically rooted in a novel result that establishes …

Solving combinatorial optimisation problems using oscillator based Ising machines

T Wang, L Wu, P Nobel, J Roychowdhury - Natural Computing, 2021 - Springer
Abstract We present OIM (Oscillator Ising Machines), a new way to make Ising machines
using networks of coupled self-sustaining nonlinear oscillators. OIM is theoretically rooted in …

Efficient optimization with higher-order Ising machines

C Bybee, D Kleyko, DE Nikonov… - Nature …, 2023 - nature.com
A prominent approach to solving combinatorial optimization problems on parallel hardware
is Ising machines, ie, hardware implementations of networks of interacting binary spin …

FPGA-based simulated bifurcation machine

K Tatsumura, AR Dixon, H Goto - 2019 29th International …, 2019 - ieeexplore.ieee.org
Since many combinatorial optimization problems can be mapped onto ground-state search
problems of Ising models, special-purpose machines for Ising problems have attracted …

A continuous-time MaxSAT solver with high analog performance

B Molnár, F Molnár, M Varga, Z Toroczkai… - Nature …, 2018 - nature.com
Many real-life optimization problems can be formulated in Boolean logic as MaxSAT, a class
of problems where the task is finding Boolean assignments to variables satisfying the …

A survey on analog models of computation

O Bournez, A Pouly - Handbook of Computability and Complexity in …, 2021 - Springer
A Survey on Analog Models of Computation Page 1 Chapter 6 A Survey on Analog Models of
Computation Olivier Bournez and Amaury Pouly Abstract We present a survey on analog …