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We study the thermodynamic cost associated with the erasure of one bit of information over a finite amount of time. We present a general framework for minimizing the average work required when full control of a system's microstates is…

Statistical Mechanics · Physics 2020-09-09 Karel Proesmans , Jannik Ehrich , John Bechhoefer

Smartphones, laptops, and data centers are CMOS-based technologies that ushered our world into the information age of the 21st century. Despite their advantages for scalable computing, their implementations come with surprisingly large…

Statistical Mechanics · Physics 2026-02-13 Christian Z. Pratt , Kyle J. Ray , James P. Crutchfield

Probabilistic computing with binary stochastic neurons (BSN) implemented with low- or zero-energy barrier nanoscale ferromagnets (LBMs) possessing in-plane magnetic anisotropy has emerged as an efficient paradigm for solving computationally…

Mesoscale and Nanoscale Physics · Physics 2023-07-11 Rahnuma Rahman , Supriyo Bandyopadhyay

The reversible computation paradigm aims to provide a new foundation for general classical digital computing that is capable of circumventing the thermodynamic limits to the energy efficiency of the conventional, non-reversible digital…

Quantum Physics · Physics 2021-06-02 Michael P. Frank , Karpur Shukla

We study a quantum computing system using microwave photons in transmission line resonators on a superconducting chip as qubits. We show that all control necessary for quantum computing can be implemented by coupling to Josephson devices on…

Quantum Physics · Physics 2015-05-14 Lianghui Du , Yong Hu , Zheng-Wei Zhou , Guang-Can Guo , Xingxiang Zhou

Landauer's erasure principle states that the irreversible erasure of a one-bit memory, embedded in a thermal environment, is accompanied with a work input of at least $k_{\text{B}}T\ln2$. Fundamental to that principle is the assumption that…

Statistical Mechanics · Physics 2019-01-31 Jan Klaers

The hybrid approach to quantum computation simultaneously utilizes both discrete and continuous variables which offers the advantage of higher density encoding and processing powers for the same physical resources. Trapped ions, with…

Quantum Physics · Physics 2020-05-06 H. C. J. Gan , Gleb Maslennikov , Ko-Wei Tseng , Chihuan Nguyen , Dzmitry Matsukevich

Landauer's limit on heat dissipation during information erasure is critical as devices shrink, requiring optimal pure-state preparation to minimise errors. However, Nernst's third law states this demands infinite resources in energy, time,…

The escalating energy demands of artificial intelligence pose a critical challenge to conventional computing. Leveraging the efficiency of event-driven, in-memory neuromorphic architectures into the superconducting circuits with ultra-high…

Emerging Technologies · Computer Science 2026-04-07 Muen Wang , Shucheng Yang , Yuxiang Lin , Yuntian Gao , Xue Zhang , Xiaoping Gao , Minghui Niu , Huanli Liu , Yikang Wan , Wei Peng , Jie Ren

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

We review and investigate the general theory of thermodynamics of computation, and derive the fundamental inequalities that set the lower bounds of the work requirement and the heat emission during a computation. These inequalities…

Statistical Mechanics · Physics 2015-06-17 Takahiro Sagawa

It is argued using a Gedankenexperiment that a scalable quantum memory could be used as a perpetuum mobile of the second kind and hence cannot be realized in Nature. The reasoning is based on the assumption that the Landauer's principle for…

Quantum Physics · Physics 2012-08-14 Robert Alicki

Interactive high-performance computing is doubtlessly beneficial for many computational science and engineering applications whenever simulation results should be visually processed in real time, i.e. during the computation process.…

Computational Engineering, Finance, and Science · Computer Science 2018-07-03 Ralf-Peter Mundani , Jérôme Frisch , Vasco Varduhn , Ernst Rank

The new approach to the microscopic description of the phase transitions starting from the only first principles was developed on an example of the transition normal metal-superconductor. This means mathematically, that the free energy is…

Statistical Mechanics · Physics 2011-09-19 K. V. Grigorishin , B. I. Lev

Computations implemented on a physical system are fundamentally limited by the laws of physics. A prominent example for a physical law that bounds computations is the Landauer principle. According to this principle, erasing a bit of…

Statistical Mechanics · Physics 2021-03-17 Roi Holtzman , Geva Arwas , Oren Raz

Nanomechanical computers promise robust, low energy information processing. However, to date, electronics have generally been required to interconnect gates, while no scalable, purely nanomechanical approach to computing has been achieved.…

The present von Neumann computing paradigm involves a significant amount of information transfer between a central processing unit (CPU) and memory, with concomitant limitations in the actual execution speed. However, it has been recently…

Emerging Technologies · Computer Science 2014-07-03 Fabio Lorenzo Traversa , Fabrizio Bonani , Yuriy V. Pershin , Massimiliano Di Ventra

The Transformer architecture is widely used for machine translation tasks. However, its resource-intensive nature makes it challenging to implement on constrained embedded devices, particularly where available hardware resources can vary at…

Computation and Language · Computer Science 2021-08-03 Hishan Parry , Lei Xun , Amin Sabet , Jia Bi , Jonathon Hare , Geoff V. Merrett

The NOT operation is a reversible transformation acting on a 1-bit logical state, and should be achievable in a physically reversible manner at no energetic cost. We experimentally demonstrate a bit-flip protocol based on the momentum of an…

Statistical Mechanics · Physics 2023-11-01 Salambô Dago , Ludovic Bellon

Probabilistic computing using probabilistic bits (p-bits) presents an efficient alternative to traditional CMOS logic for complex problem-solving, including simulated annealing and machine learning. Realizing p-bits with emerging devices…

Machine Learning · Computer Science 2026-01-22 Naoya Onizawa , Takahiro Hanyu