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There are many factors that influence the design of quantum annealing processing units. Here we address the issue of improving quantum annealing processing unit designs from the point of view of the critical behavior of spin glasses. It has…

Quantum Physics · Physics 2018-11-05 Helmut G. Katzgraber , M. A. Novotny

Quantum simulation has the potential to be an indispensable technique for the investigation of non-perturbative phenomena in strongly-interacting quantum field theories (QFTs). In the modern quantum era, with Noisy Intermediate Scale…

Quantum Physics · Physics 2024-07-17 Christopher Lamb , Yicheng Tang , Robert Davis , Ananda Roy

The versatility and wide-ranging applicability of the Ising model, originally introduced to study phase transitions in magnetic materials, have made it a cornerstone in statistical physics and a valuable tool for evaluating the performance…

Hardware Architecture · Computer Science 2024-05-03 Dirk Van Essendelft , Hayl Almolyki , Wei Shi , Terry Jordan , Mei-Yu Wang , Wissam A. Saidi

Solving mathematical equations faster and more efficiently has been a Holy Grail for centuries for scientists and engineers across all disciplines. While electronic digital circuits have revolutionized equation solving in recent decades, it…

Various combinatorial optimization NP-hard problems can be reduced to finding the minimizer of an Ising model, which is a discrete mathematical model. It is an intellectual challenge to develop some mathematical tools or algorithms for…

Optimization and Control · Mathematics 2023-12-01 Bowen Liu , Kaizhi Wang , Dongmei Xiao , Zhan Yu

Airfoil shape optimization presents a challenge where classical solvers frequently struggle with computational efficiency and local minima. In the promising paradigm of quantum computing, the coherent Ising machine (CIM), a specialized…

Quantum Physics · Physics 2026-03-12 Hao Ni , Qi Gao , Zhen Lu , Yue Yang

We proposed the method that translates the 2-D CSP for minimizing the number of cuts to the Ising model. After that, we conducted computer experiments of the proposed model using the benchmark problem. From the above, the following results…

Data Structures and Algorithms · Computer Science 2021-04-01 Hiroshi Arai , Harumi Haraguchi

New physical implementations of quantum computing elementary operations by pulse manipulations with electron spins of paramagnetic ions having two electrons and spin S=1 in a zero magnetic field are proposed. New type of microwave pulses…

Quantum Physics · Physics 2019-10-09 Arifullin M. R. , Berdinskiy V. L

Spin-based quantum computation (QC) in the solid state is considered to be one of the most promising approaches to scalable quantum computers. However, it faces problems such as initializing the spins, selectively addressing and…

Instrumentation and Detectors · Physics 2015-06-15 Aharon Blank , Ekaterina Dikarov , Roman Shklyar , Ygal Twig

Dynamical Ising machines are actively investigated from the perspective of finding efficient heuristics for NP-hard optimization problems. However, the existing data demonstrate super-polynomial scaling of the running time with the system…

Statistical Mechanics · Physics 2022-05-24 Mikhail Erementchouk , Aditya Shukla , Pinaki Mazumder

In combinatorial optimization, probabilistic Ising machines (PIMs) have gained significant attention for their acceleration of Monte Carlo sampling with the potential to reduce time-to-solution in finding approximate ground states. However,…

Materials Science · Physics 2025-06-18 Shuhan Yang , Andrea Grimaldi , Youwei Bao , Eleonora Raimondo , Jia Si , Giovanni Finocchio , Hyunsoo Yang

We show that Oscillator Ising Machines (OIMs) are prime candidates for use as neuromorphic machine learning processors with Equilibrium Propagation (EP) based on-chip learning. The inherent energy gradient descent dynamics of OIMs, combined…

Disordered Systems and Neural Networks · Physics 2025-08-19 Alex Gower

Simple algorithm of dynamics of Ising magnetic is described. The algorithm can be implemented on conventional digital computer and can be used for construction of specialized processor for simulation of ferromagnetic systems. The algorithm…

Statistical Mechanics · Physics 2008-04-07 G. G. Kozlov

We propose a scheme that can generate tunable magnomechanically induced amplification in a double-cavity parity-time-(PT -) symmetric-like magnomechanical system under a strong control and weak probe field. The system consists of a…

Quantum Physics · Physics 2022-05-11 Hua Jin , Zhi-Bo Yang , Jing-Wen Jin , Jian-Yu Liu , Hong-Yu Liu , Rong-Can Yang

Spin systems with frustration and disorder are notoriously difficult to study both analytically and numerically. While the simulation of ferromagnetic statistical mechanical models benefits greatly from cluster algorithms, these accelerated…

Disordered Systems and Neural Networks · Physics 2015-08-18 Zheng Zhu , Andrew J. Ochoa , Helmut G. Katzgraber

Phonons traveling in solid-state devices are emerging as a universal excitation that can couple to different physical systems through mechanical interaction. At microwave frequencies and in solid-state materials, phonons have a similar…

Probabilistic computing with pbits is emerging as a computational paradigm for machine learning and for facing combinatorial optimization problems (COPs) with the so-called probabilistic Ising machines (PIMs). From a hardware point of view,…

Ising computer is a powerful computation scheme to deal with NP-hard optimization problems that cannot be efficiently addressed by conventional computers. A robust probabilistic bit (P-Bit) which is realized by a hardware entity fluctuating…

Mesoscale and Nanoscale Physics · Physics 2022-02-23 Bolin Zhang , Yu Liu , Tianqi Gao , Deming Zhang , Weisheng Zhao , Lang Zeng

A promising approach to achieve computational supremacy over the classical von Neumann architecture explores classical and quantum hardware as Ising machines. The minimisation of the Ising Hamiltonian is known to be NP-hard problem for…

Quantum Physics · Physics 2020-08-04 Kirill P. Kalinin , Natalia G. Berloff

A quantum memory at microwave frequencies, able to store the state of multiple superconducting qubits for long times, is a key element for quantum information processing. Electronic and nuclear spins are natural candidates for the storage…

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