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The quantum Toffoli gate allows universal reversible classical computation. It is also an important primitive in many quantum circuits and quantum error correction schemes. Here we demonstrate the realization of a Toffoli gate with three…

Quantum Physics · Physics 2013-02-15 Arkady Fedorov , Lars Steffen , Matthias Baur , M. P. da Silva , Andreas Wallraff

Magnetic tunnel junctions (MTJs) interconnected via a continuous ferromagnetic free layer were fabricated for Spin Torque Majority Gate (STMG) logic. The MTJs are biased independently and show magnetoelectric response under spin transfer…

The Toffoli gate is the essential ingredient for reversible computing, an energy efficient classical computational paradigm that evades the energy dissipation resulting from Landauer's principle. In this paper we analyze different setups to…

The Toffoli gate is a fundamental building block for quantum arithmetic and reversible logic, yet its efficient realization remains a major challenge in both near-term and fault-tolerant quantum architectures. Recent advances in dynamic…

Quantum Physics · Physics 2026-05-21 Abhoy Kole , Till Schnittka , Rolf Drechsler

This paper presents a physics-based modeling framework for the analysis and transient simulation of circuits containing Spin-Transfer Torque (STT) Magnetic Tunnel Junction (MTJ) devices. The framework provides the tools to analyze the…

Emerging Technologies · Computer Science 2021-06-10 Fernando García-Redondo , Pranay Prabhat , Mudit Bhargava , Cyrille Dray

Magnetic tunnel junctions (MTJs) are key elements in practical spintronics, enabling not only conventional tasks such as data storage, transmission, and processing but also the implementation of compute-in-memory processing elements,…

Other Condensed Matter · Physics 2025-12-09 Maksim Stebliy , Alex Jenkins , Luana Benetti , Ricardo Ferreira

Controlled quantum gates play a crucial role in enabling quantum universal operations by facilitating interactions between qubits. Direct implementation of three-qubit gates simplifies the design of quantum circuits, thereby being conducive…

Quantum Physics · Physics 2024-11-27 Qianke Wang , Dawei Lyu , Jun Liu , Jian Wang

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

Reversible logic has attracted much research interest over the last few decades, especially due to its application in quantum computing. In the construction of reversible gates from basic gates, ancilla bits are commonly used to remove…

Emerging Technologies · Computer Science 2015-06-12 Siyao Xu

This paper describes a robust, modular, and physics- based circuit framework to model conventional and emerging Magnetic Tunnel Junction (MTJ) devices. Magnetization dynamics are described by the stochastic Landau-Lifshitz-Gilbert (sLLG)…

Mesoscale and Nanoscale Physics · Physics 2018-08-23 Mustafa Mert Torunbalci , Pramey Upadhyaya , Sunil A. Bhave , Kerem Y. Camsari

We present two new constructions for the Toffoli gate which substantially reduce resource costs in fault-tolerant quantum computing. The first contribution is a Toffoli gate requiring Clifford operations plus only four $T =…

Quantum Physics · Physics 2013-03-18 Cody Jones

A single-shot Toffoli, or controlled-controlled-NOT, gate is desirable for classical and quantum information processing. The Toffoli gate alone is universal for reversible computing and, accompanied by the Hadamard gate, forms a universal…

Quantum Physics · Physics 2015-05-21 Ehsan Zahedinejad , Joydip Ghosh , Barry C. Sanders

Naturally random devices that exploit ambient thermal noise have recently attracted attention as hardware primitives for accelerating probabilistic computing applications. One such approach is to use a low barrier nanomagnet as the free…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Kerem Y. Camsari , Mustafa Mert Torunbalci , William A. Borders , Hideo Ohno , Shunsuke Fukami

A Toffoli gate ($C^{n}$-NOT gate) is regarded as an important unitary gate in quantum computation, and is simulated by a quantum circuit composed of $C^{2}$-NOT gates. This paper presents a quantum circuit with a new configuration of…

Quantum Physics · Physics 2007-05-23 Masanari Asano , Chikara Ishii

We present numerical results which show how two-bit logic gates can be used in the design of a quantum computer. We show that the Toffoli gate, which is a universal gate for all classical reversible computation, can be implemented using a…

Condensed Matter · Physics 2007-05-23 David P. DiVincenzo , John Smolin

Stochastic magnetic tunnel junctions (sMTJ) using low-barrier nanomagnets have shown promise as fast, energy-efficient, and scalable building blocks for probabilistic computing. Despite recent experimental and theoretical progress, sMTJs…

Mesoscale and Nanoscale Physics · Physics 2024-05-03 Kemal Selcuk , Shun Kanai , Rikuto Ota , Hideo Ohno , Shunsuke Fukami , Kerem Y. Camsari

Digital computing currently uses irreversible logic gates whose energy dissipation is fundamentally limited. Reversible logic gates can provide an energy-efficient alternative since they can operate with reversible processes that have no…

Superconductivity · Physics 2020-02-05 Waltraut Wustmann , Kevin D. Osborn

Physical implementation of scalable quantum architectures faces an immense challenge in form of fragile quantum states. To overcome it, quantum architectures with fault tolerance is desirable. This is achieved currently by using surface…

Emerging Technologies · Computer Science 2019-12-25 Laxmidhar Biswal , Debjyoti Bhattacharjee , Anupam Chattopadhyay , Hafizur Rahaman

Graphical probabilistic circuit models of stochastic computing are more powerful than the predominant deep learning models, but also have more demanding requirements. For example, they require "programmable stochasticity", e.g. generating…

Mesoscale and Nanoscale Physics · Physics 2023-01-24 M. T. McCray , Md Ahsanul Abeed , Supriyo Bandyopadhyay

This work investigates nanosecond superparamagnetic switching in 50 nm diameter in-plane magnetized magnetic tunnel junctions (MTJs). Due to the small in-plane uniaxial anisotropy, dwell times below 10 ns and auto-correlation times down to…

Mesoscale and Nanoscale Physics · Physics 2023-01-16 Leo Schnitzspan , Mathias Kläui , Gerhard Jakob
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