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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

Physics-inspired computing paradigms, such as Ising machines, are emerging as promising hardware alternatives to traditional von Neumann architectures for tackling computationally intensive combinatorial optimization problems (COPs). While…

Applied Physics · Physics 2026-03-17 Sai Li , Yihao Zhang , Albert Lee , Zheng Zhu , Lang Zeng , Peng Wang , Lei Gao , Di Wu , Weisheng Zhao

Probabilistic computers offer promising solutions for computationally hard problems in domains such as combinatorial optimization and machine learning. A key building block in these systems is the probabilistic bit (p-bit), which relies on…

Emerging Technologies · Computer Science 2026-04-17 Ju-Young Yoon , Nuno Cacoilo , Advait Madhavan , Jabez J. McClelland , Shun Kanai , Hideo Ohno , Shunsuke Fukami , William A. Borders

Probabilistic computing is a novel computing scheme that offers a more efficient approach than conventional CMOS-based logic in a variety of applications ranging from optimization to Bayesian inference, and invertible Boolean logic. The…

Mesoscale and Nanoscale Physics · Physics 2024-06-18 John Daniel , Zheng Sun , Xuejian Zhang , Yuanqiu Tan , Neil Dilley , Zhihong Chen , Joerg Appenzeller

The nearing end of Moore's Law has been driving the development of domain-specific hardware tailored to solve a special set of problems. Along these lines, probabilistic computing with inherently stochastic building blocks (p-bits) have…

Hardware Architecture · Computer Science 2022-11-23 Navid Anjum Aadit , Andrea Grimaldi , Giovanni Finocchio , Kerem Y. Camsari

Ongoing semiconductor scaling challenges and the rise of neuromorphic computing have sparked interest in exploring novel computing schemes to achieve higher power efficiency and computational capabilities. Probabilistic computing is one…

Emerging Technologies · Computer Science 2026-04-28 Xuejian Zhang , John Arnesh Divakaruni Daniel , Neil Dilley , Zhihong Chen , Joerg Appenzeller

The slowing down of Moore's Law has led to a crisis as the computing workloads of Artificial Intelligence (AI) algorithms continue skyrocketing. There is an urgent need for scalable and energy-efficient hardware catering to the unique…

Emerging Technologies · Computer Science 2023-10-11 Shuvro Chowdhury , Kerem Y. Camsari

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,…

Extending Moore's law by augmenting complementary-metal-oxide semiconductor (CMOS) transistors with emerging nanotechnologies (X) has become increasingly important. One important class of problems involve sampling-based Monte Carlo…

Superparamagnetic tunnel junctions (SMTJs) have emerged as a competitive, realistic nanotechnology to support novel forms of stochastic computation in CMOS-compatible platforms. One of their applications is to generate random bitstreams…

Emerging Technologies · Computer Science 2020-03-09 Matthew W. Daniels , Advait Madhavan , Philippe Talatchian , Alice Mizrahi , Mark D. Stiles

Hardware implementations of the Ising model offer promising solutions to large-scale optimization tasks. In the literature, various nanodevices have been shown to emulate the spin dynamics for such Ising machines with remarkable…

The growth of artificial intelligence and IoT has created a significant computational load for solving non-deterministic polynomial-time (NP)-hard problems, which are difficult to solve using conventional computers. The Ising computer,…

Emerging Technologies · Computer Science 2023-06-21 Jia Si , Shuhan Yang , Yunuo Cen , Jiaer Chen , Zhaoyang Yao , Dong-Jun Kim , Kaiming Cai , Jerald Yoo , Xuanyao Fong , Hyunsoo Yang

Oscillator Ising Machines (OIMs) and probabilistic bit (p-bit)-based computing platforms have emerged as promising paradigms for tackling complex combinatorial optimization problems. Although traditionally viewed as distinct approaches,…

Computational Physics · Physics 2026-01-26 E. M. Hasantha Ekanayake , Nikhat Khan , Nikhil Shukla

We demonstrate that thermally stable perpendicular magnetic tunnel junctions (pMTJs), widely used in spin-transfer torque magnetic random-access memory, can be actuated with nanosecond pulses to exhibit tunable stochastic behavior. This…

Mesoscale and Nanoscale Physics · Physics 2026-01-15 Ahmed Sidi El Valli , Michael Tsao , Dairong Chen , Andrew D. Kent

Recently there is considerable interest to realize efficient and low-cost true random number generators (RNGs) for practical applications. One important way is through the use of bistable magnetic tunnel junctions (MTJs). Here we study the…

Other Condensed Matter · Physics 2023-09-07 Chee Kwan Gan , Bingjin Chen , Minggang Zeng

Stochastic magnetic tunnel junctions (s-MTJ) is a promising component of probabilistic bit (p-bit), which plays a pivotal role in probabilistic computers. For a standard cell structure of the p-bit, s-MTJ is desired to be insensitive to…

Mesoscale and Nanoscale Physics · Physics 2024-07-12 Rikuto Ota , Keito Kobayashi , Keisuke Hayakawa , Shun Kanai , Kerem Y. Çamsarı , Hideo Ohno , Shunsuke Fukami

Superparamagnetic tunnel junctions (SMTJs) are promising sources of randomness for compact and energy efficient implementations of probabilistic computing techniques. Augmenting an SMTJ with electronic circuits, to convert the random…

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

Probabilistic computing using random number generators (RNGs) can leverage the inherent stochasticity of nanodevices for system-level benefits. The magnetic tunnel junction (MTJ) has been studied as an RNG due to its thermally-driven…

We review two magnetic tunnel junction (MTJ) approaches for compact, low-power, CMOS-integrated true random number generation (TRNG). The first employs passive-read, easy-plane superparamagnetic MTJs (sMTJs) that generate…

Mesoscale and Nanoscale Physics · Physics 2026-01-15 Jonathan Z. Sun , Christopher Safranski , Siyuranga Koswata , Pouya Hashemi , Andrew D. Kent
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