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We demonstrate how a genetic ring oscillator network with quorum sensing feedback can operate as a robust logic gate. Specifically we show how a range of logic functions, namely AND/NAND, OR/NOR and XOR/XNOR, can be realized by the system,…

Biological Physics · Physics 2014-04-14 Vidit Agrawal , Shivpal Singh Kang , Sudeshna Sinha

Plasmodium of \emph{Physarum polycephalum} is a single cell visible by unaided eye. On a non-nutrient substrate the plasmodium propagates as a traveling localization, as a compact wave-fragment of protoplasm. The plasmodium-localization…

Pattern Formation and Solitons · Physics 2012-08-14 Andrew Adamatzky

We investigate the spectral properties of rooted trees with the intention of improving the currently existing results that deal with this matter. The concept of an assigned rational function is recursively defined for each vertex of a…

Combinatorics · Mathematics 2024-05-24 Ivan Damnjanović

Logical gates studied in quantum computation suggest a natural logical abstraction that gives rise to a new form of unsharp quantum logic. We study the logical connectives corresponding to the following gates: the Toffoli gate, the NOT and…

Quantum Physics · Physics 2007-05-23 G. Cattaneo , M. L. Dalla Chiara , R. Giuntini , R. Leporini

A scheme for logical computation using non-linear dynamical systems is presented. Examples of discrete-time maps configured as AND, OR, NAND and NOR gates are given. It is seen that the logical operations are flexible in the sense that an…

Chaotic Dynamics · Physics 2007-05-23 Madhekar Suneel

Quantum logic gates can perform calculations much more efficiently than their classical counterparts. However, the level of control needed to obtain a reliable quantum operation is correspondingly higher. In order to evaluate the…

Quantum Physics · Physics 2009-11-13 Holger F. Hofmann , Ryo Okamoto , Shigeki Takeuchi

In this paper, we present a general reconfigurable multiple-valued logic circuit. The proposed architecture is based on threshold logic gate and is compatible with binary logic, which allows a designer to easily integrate multiple valued…

Signal Processing · Electrical Eng. & Systems 2024-04-10 Ahmet Unutulmaz , Cem Ünsalan

An elementary cellular automaton with memory is a chain of finite state machines (cells) updating their state simultaneously and by the same rule. Each cell updates its current state depending on current states of its immediate neighbours…

Cellular Automata and Lattice Gases · Physics 2018-03-16 Genaro J. Martinez , Andrew Adamatzky , Kenichi Morita

We propose a new system for implementing quantum logic gates: neutral atoms trapped in a very far-off-resonance optical lattice. Pairs of atoms are made to occupy the same well by varying the polarization of the trapping lasers, and then a…

Quantum Physics · Physics 2009-10-31 Gavin K. Brennen , Carlton M. Caves , Poul S. Jessen , Ivan H. Deutsch

The concrete schemes to realize three types of basic quantum logical gates using linear quadripartite cluster states of optical continuous variables are proposed. The influences of noises and finite squeezing on the computation precision…

Quantum Physics · Physics 2015-05-13 Aihong Tan , Changde Xie , Kunchi Peng

The Game of Life cellular automaton is a classical example of a massively parallel collision-based computing device. The automaton exhibits mobile patterns, gliders, and generators of the mobile patterns, glider guns, in its evolution. We…

Computational Complexity · Computer Science 2007-05-23 J. -P. Rennard

We envision a machine capable of solving mathematical problems. Dividing the quantitative reasoning system into two parts: thought processes and cognitive processes, we provide probabilistic descriptions of the architecture.

Artificial Intelligence · Computer Science 2023-08-21 Minzheng Li , Xiangzhong Fang , Haixin Yang

We develop a multi-valued logic for quantum computing for use in multi-level quantum systems, and discuss the practical advantages of this approach for scaling up a quantum computer. Generalizing the methods of binary quantum logic, we…

Quantum Physics · Physics 2012-08-27 Ashok Muthukrishnan , C. R. Stroud,

This is a brief overview of quantum holonomies in the context of quantum computation. We choose an adequate set of quantum logic gates, namely, a phase gate, the Hadamard gate, and a conditional-phase gate and show how they can be…

Quantum Physics · Physics 2007-05-23 Marie Ericsson

Binary logic and devices have been in used since inception with advancement and technology and millennium gate design era. The development in binary logic has become tedious and cumbersome. Multivalued logic enables significant more…

Other Computer Science · Computer Science 2013-10-23 Hitesh Gupta , Dr. S. C. Jain

A decision tree looks like a simple directed acyclic computational graph, where only the leaf nodes specify the output values and the non-terminals specify their tests or split conditions. From the numerical perspective, we express decision…

Machine Learning · Computer Science 2024-11-07 Jinxiong Zhang

Probabilistic computers replace logic gates with networks of interacting random variables, creating bidirectional systems that can back-derive inputs from outputs. Such architectures enable efficient generation of random samples,…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Shreyes Nallan , Jian-Gang Zhu

We consider boolean circuits computing n-operators f:{0,1}^n --> {0,1}^n. As gates we allow arbitrary boolean functions; neither fanin nor fanout of gates is restricted. An operator is linear if it computes n linear forms, that is, computes…

Computational Complexity · Computer Science 2015-03-17 S. Jukna , G. Schnitger

For a rational function of several variables with nonnegative imaginary part on the upper poly-half-plane, the matrix representations are obtained.

Complex Variables · Mathematics 2021-11-30 M. F. Bessmertnyi

By using the memristor's memory to both store a bit and perform an operation with a second input bit, simple Boolean logic gates have been built with a single memristor. The operation makes use of the interaction of current spikes…

Emerging Technologies · Computer Science 2014-02-18 Ella Gale , Ben de Lacy Costello , Andrew Adamatzky