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Under certain conditions, applying a sequence of voltage pulses of alternating polarities across a resistive switching memory device induces a finite number of fixed-point attractors in its time-averaged dynamics, known as dynamical…

Mesoscale and Nanoscale Physics · Physics 2026-01-14 Valeriy A. Slipko , Alon Ascoli , Fernando Corinto , Yuriy V. Pershin

Non-Markovian quantum processes exhibit different memory effects when measured in different ways; an unambiguous characterization of memory length requires accounting for the sequence of instruments applied to probe the system dynamics.…

Quantum Physics · Physics 2019-04-11 Philip Taranto , Simon Milz , Felix A. Pollock , Kavan Modi

To optimize the design of STT-MRAM (spin-transfer torque magnetic random access memory), it is necessary to be able to predict switching (error) rates. For small elements, this can be done using a single-macrospin theory since the element…

Materials Science · Physics 2016-04-15 P. B. Visscher , Kamaram Munira , Robert J. Rosati

Neuromorphic computing aims to develop energy-efficient devices that mimic biological synapses. One promising approach involves memristive devices that can dynamically adjust their electrical resistance in response to stimuli, similar to…

Mesoscale and Nanoscale Physics · Physics 2025-06-16 Walter Quiñonez , Anouk Goossens , Diego Rubi , Tamalika Banerjee , María José Sánchez

The Prisoner's Dilemma is used as a model in processes involving reciprocity; however, its classical setup can be insufficient in settings where the symmetry of the simultaneous decision making is broken -- for example, in donor and…

Dynamical Systems · Mathematics 2026-01-27 Nataliya A. Balabanova , Hong Duong , Christian Hilbe

Implication logic gates that are based on volatile memristors are demonstrated experimentally with the use of relay-based volatile memristor emulators of an original design. The fabricated logic circuit involves two volatile memristors and…

Emerging Technologies · Computer Science 2019-09-18 Y. V. Pershin

State space models (SSMs) have gained attention by showing potential to outperform Transformers. However, previous studies have not sufficiently addressed the mechanisms underlying their high performance owing to a lack of theoretical…

Machine Learning · Computer Science 2025-10-02 JingChuan Guan , Tomoyuki Kubota , Yasuo Kuniyoshi , Kohei Nakajima

Competitive neural networks are often used to model the dynamics of perceptual bistability. Switching between percepts can occur through fluctuations and/or a slow adaptive process. Here, we analyze switching statistics in competitive…

Neurons and Cognition · Quantitative Biology 2012-12-05 Zachary P Kilpatrick

Memristors offer significant advantages as in-memory computing devices due to their non-volatility, low power consumption, and history-dependent conductivity. These attributes are particularly valuable in the realm of neuromorphic circuits…

Neural and Evolutionary Computing · Computer Science 2024-07-19 Julio Souto , Guillermo Botella , Daniel García , Raúl Murillo , Alberto del Barrio

Brain-inspired computing architectures attempt to emulate the computations performed in the neurons and the synapses in human brain. Memristors with continuously tunable resistances are ideal building blocks for artificial synapses. Through…

Motivated by advantages of current-mode design, this brief contribution explores the implementation of weight matrices in neuromemristive systems via current-mode memristor crossbar circuits. After deriving theoretical results for the range…

Machine Learning · Statistics 2017-07-19 Cory Merkel

Memory circuit elements, namely memristive, memcapacitive and meminductive systems, are gaining considerable attention due to their ubiquity and use in diverse areas of science and technology. Their modeling within the most widely used…

Computational Physics · Physics 2016-06-24 D. Biolek , M. Di Ventra , Y. V. Pershin

The possibility of in-memory computing with volatile memristive devices, namely, memristors requiring a power source to sustain their memory, is demonstrated. We have adopted a hysteretic graphene-based field emission structure as a…

Mesoscale and Nanoscale Physics · Physics 2017-01-17 Y. V. Pershin , S. N. Shevchenko

We present a systematic study of memristor based neural networks trained with the hardware-friendly Manhattan update rule, focusing on the trade offs between learning performance and energy consumption. Using realistic models of…

Mesoscale and Nanoscale Physics · Physics 2025-11-07 Walter Quiñonez , María José Sánchez , Diego Rubi

It is now widely accepted that memristive devices are perfect candidates for the emulation of biological synapses in neuromorphic systems. This is mainly because of the fact that like the strength of synapse, memristance of the memristive…

Neural and Evolutionary Computing · Computer Science 2012-11-26 Farnood Merrikh-Bayat , Saeed Bagheri Shouraki , Iman Esmaili Paeen Afrakoti

Structured state-space models (SSMs) have been developed to offer more persistent memory retention than traditional recurrent neural networks, while maintaining real-time inference capabilities and addressing the time-complexity limitations…

Machine Learning · Computer Science 2025-09-09 Takashi Morita

We have measured the transition process from the high to low resistivity states, i.e., the reset process of resistive switching based memristors based on Ni/HfO2/Si-n+ structures, and have also developed an analytical model for their…

We investigate the nature of memory effects in the non-Markovian dynamics of spin boson models. Local quantum memory criteria can be used to indicate that the reduced dynamics of an open system necessarily requires a quantum memory in its…

Quantum Physics · Physics 2026-05-06 Charlotte Bäcker , Valentin Link , Walter T. Strunz

An analog computer makes use of continuously changeable quantities of a system, such as its electrical, mechanical, or hydraulic properties, to solve a given problem. While these devices are usually computationally more powerful than their…

Emerging Technologies · Computer Science 2019-10-09 G. Alvarado Barrios , J. C. Retamal , E. Solano , M. Sanz

Quantum memory is a key element for quantum repeaters and linear optical quantum computers. In addition to memory, repeaters and computers also require manipulating quantum states by means of unitary transformations, which is generally…

Quantum Physics · Physics 2009-10-15 A. Delfan Abazari , E. Saglamyurek , R. Ricken , W. Sohler , C. La Mela , W. Tittel
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