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Main Authors: Razmkhah, Sasan, Kamal, Mehdi, Yoshikawa, Nobuyuki, Pedram, Massoud
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2309.03407
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author Razmkhah, Sasan
Kamal, Mehdi
Yoshikawa, Nobuyuki
Pedram, Massoud
author_facet Razmkhah, Sasan
Kamal, Mehdi
Yoshikawa, Nobuyuki
Pedram, Massoud
contents Ising machines have emerged as a promising solution for rapidly solving NP-complete combinatorial optimization problems, surpassing the capabilities of traditional computing methods. By efficiently determining the ground state of the Hamiltonian during the annealing process, Ising machines can effectively complement CPUs in tackling optimization challenges. To realize these Ising machines, a bi-stable oscillator is essential to emulate the atomic spins and interactions of the Ising model. This study introduces a Josephson parametric oscillator (JPO)-based tile structure, serving as a fundamental unit for scalable superconductor-based Ising machines. Leveraging the bi-stable nature of JPOs, which are superconductor-based oscillators, the proposed machine can operate at frequencies of 7.5GHz while consuming significantly less power (by three orders of magnitude) than CMOS-based systems. Furthermore, the compatibility of the proposed tile structure with the Lechner-Hauke-Zoller (LHZ) architecture ensures its viability for large-scale integration. We conducted simulations of the tile in a noisy environment to validate its functionality. We verified its operational characteristics by comparing the results with the analytical solution of its Hamiltonian model. This verification demonstrates the feasibility and effectiveness of the JPO-based tile in implementing Ising machines, opening new avenues for efficient and scalable combinatorial optimization in quantum computing.
format Preprint
id arxiv_https___arxiv_org_abs_2309_03407
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A Josephson Parametric Oscillator-Based Ising Machine
Razmkhah, Sasan
Kamal, Mehdi
Yoshikawa, Nobuyuki
Pedram, Massoud
Quantum Physics
Superconductivity
Computational Complexity
Ising machines have emerged as a promising solution for rapidly solving NP-complete combinatorial optimization problems, surpassing the capabilities of traditional computing methods. By efficiently determining the ground state of the Hamiltonian during the annealing process, Ising machines can effectively complement CPUs in tackling optimization challenges. To realize these Ising machines, a bi-stable oscillator is essential to emulate the atomic spins and interactions of the Ising model. This study introduces a Josephson parametric oscillator (JPO)-based tile structure, serving as a fundamental unit for scalable superconductor-based Ising machines. Leveraging the bi-stable nature of JPOs, which are superconductor-based oscillators, the proposed machine can operate at frequencies of 7.5GHz while consuming significantly less power (by three orders of magnitude) than CMOS-based systems. Furthermore, the compatibility of the proposed tile structure with the Lechner-Hauke-Zoller (LHZ) architecture ensures its viability for large-scale integration. We conducted simulations of the tile in a noisy environment to validate its functionality. We verified its operational characteristics by comparing the results with the analytical solution of its Hamiltonian model. This verification demonstrates the feasibility and effectiveness of the JPO-based tile in implementing Ising machines, opening new avenues for efficient and scalable combinatorial optimization in quantum computing.
title A Josephson Parametric Oscillator-Based Ising Machine
topic Quantum Physics
Superconductivity
Computational Complexity
url https://arxiv.org/abs/2309.03407