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This paper discusses how to implement certain classes of quantum computer algorithms using classical discrete switching networks that are amenable to implementation in main stream CMOS transistor IC technology. The methods differ from other…

Computational Complexity · Computer Science 2009-05-14 John S. Hamel

Using a thermodynamically consistent, mesoscopic model for modern complementary metal-oxide-semiconductor transistors, we study an array of logical circuits and explore how their function is constrained by recent thermodynamic uncertainty…

Statistical Mechanics · Physics 2025-03-28 Phillip Helms , Songela W. Chen , David T. Limmer

The realization and study of arrays of interacting magnetic nanoislands, such as artificial spin ices, have reached mature levels of control that allow design and demonstration of exotic, collective behaviors not seen in natural materials.…

Disordered Systems and Neural Networks · Physics 2021-11-18 Francesco Caravelli , Cristiano Nisoli

An important step to incorporate information in the second law of thermodynamics was done by Landauer, showing that the erasure of information implies an increase in heat. Most attempts to justify Landauer's erasure principle are based on…

Statistical Mechanics · Physics 2023-04-04 Xavier Oriols , Hrvoje Nikolić

In recent years, reversible logic has emerged as a promising computing paradigm having its applications in low power computing, quantum computing, nanotechnology, optical computing and DNA computing. The classical set of gates such as AND,…

Hardware Architecture · Computer Science 2007-05-23 Himanshu Thapliyal , M. B Srinivas

In recent years, Reversible Logic is becoming more and more prominent technology having its applications in Low Power CMOS, Quantum Computing, Nanotechnology, and Optical Computing. Reversibility plays an important role when energy…

Performance · Computer Science 2010-10-01 H G Rangaraju , U. Venugopal , K N Muralidhara , K B Raja

We investigate algorithmic control of a large swarm of mobile particles (such as robots, sensors, or building material) that move in a 2D workspace using a global input signal (such as gravity or a magnetic field). We show that a maze of…

Emerging Technologies · Computer Science 2017-12-05 Aaron T. Becker , Erik D. Demaine , Sándor P. Fekete , Jarrett Lonsforda , Rose Morris-Wright

We propose one of the very few constructive consequences of the second law of thermodynamics. More specifically, we present protocols for secret-key establishment and multiparty computation the security of which is based fundamentally on…

Quantum Physics · Physics 2022-06-06 Xavier Coiteux-Roy , Stefan Wolf

The emphasis is made on the juxtaposition of (quantum~theorem) proving versus quantum (theorem~proving). The logical contents of verification of the statements concerning quantum systems is outlined. The Zittereingang (trembling input)…

Quantum Physics · Physics 2009-10-28 R. R. Zapatrin

We introduce a new scheme for quantum circuit design called controlled gate networks. Rather than trying to reduce the complexity of individual unitary operations, the new strategy is to toggle between all of the unitary operations needed…

Reversible logic has applications in various research areas including signal processing, cryptography and quantum computation. In this paper, direct NCT-based synthesis of a given $k$-cycle in a cycle-based synthesis scenario is examined.…

Quantum Physics · Physics 2012-09-04 Mehdi Saeedi , Morteza Saheb Zamani , Mehdi Sedighi , Zahra Sasanian

Thermodynamic trade-off relations dictate fundamental limits on the performance of thermodynamic tasks through costs such as heat dissipation. Here, we propose a framework called thermodynamic recycling to circumvent these limits in quantum…

Quantum Physics · Physics 2026-04-28 Nobumasa Ishida , Yoshihiko Hasegawa

Computational complexity is a particularly important objective. The idea of Landauer principle was extended through mapping three classic problems (sorting,ordered searching and max of N unordered numbers) into Maxwell demon thought…

Computational Complexity · Computer Science 2014-12-04 Feng Pan , Heng-liang Zhang , Qi Jie

We present new algorithms to synthesize exact universal reversible gate library for various types of gates and costs. We use the powerful algebraic software GAP for implementation and examination of our algorithms and the reversible logic…

Emerging Technologies · Computer Science 2016-01-01 Rasha Montaser , Ahmed Younes , Mahmoud Abdel-Aty

A clear protocol for synthesis of sequential reversible circuits from any particular gate library has been provided. Using that protocol, reversible circuits for SR latch, D latch, JK latch and T latch are designed from NCT gate library.…

Quantum Physics · Physics 2009-08-13 Anindita Banerjee , Anirban Pathak

Reversible logic is emerging as an important research area having its application in diverse fields such as low power CMOS design, digital signal processing, cryptography, quantum computing and optical information processing. This paper…

Hardware Architecture · Computer Science 2010-08-20 Md. Saiful Islam , Zerina Begum

Two-level system fluctuators in superconducting devices have demonstrated coherent coupling with superconducting qubits. Here, we show that universal quantum logic gates can be realized in these two-level systems solely by tuning a…

Quantum Physics · Physics 2009-11-13 L. Tian , K. Jacobs

This thesis proposes novel ternary circuits aiming to reduce energy to preserve battery consumption. The proposed designs include eight ternary logic gates, three ternary combinational circuits, and six Ternary Arithmetic Logic Units. This…

Emerging Technologies · Computer Science 2022-11-17 Ramzi A. Jaber , Lina Nimri , Ali M. Haidar

We construct reversible Boolean circuits efficiently simulating reversible Turing machines. Both the circuits and the simulation proof are rather simple. Then we give a fairly straightforward generalization of the circuits and the…

Quantum Physics · Physics 2022-10-12 Yuri Gurevich , Andreas Blass

We present a synthesis framework to map logic networks into quantum circuits for quantum computing. The synthesis framework is based on LUT networks (lookup-table networks), which play a key role in conventional logic synthesis.…

Quantum Physics · Physics 2017-06-12 Mathias Soeken , Martin Roetteler , Nathan Wiebe , Giovanni De Micheli