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We study the class of two qubit gates which can be achieved using only linear optical elements (beam splitters and phase shifters) and post-selection. We are able to exactly characterize this set, and find that it is impossible to implement…

Quantum Physics · Physics 2014-04-02 Josh Cadney

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 review the topological quantum computation scheme of Das Sarma et al. from the perspective of the conformal field theory for the two-dimensional critical Ising model. This scheme originally used the monodromy properties of the…

High Energy Physics - Theory · Physics 2008-11-26 Lachezar S. Georgiev

The light's image is the primary source of information carrier in nature. Indeed, a single photon's image possesses a vast information capacity that can be harnessed for quantum information processing. Our scheme for implementing quantum…

Quantum Physics · Physics 2023-03-08 Mohammad Rezai , Jawad A. Salehi

A fundamental question regarding biological transport networks is the interplay between the network development or reorganization and the flows it carries. We use Physarum polycephalum, a true slime mould with a transport network which…

Biological Physics · Physics 2022-12-27 Raphaël Saiseau , Valentin Busson , Laura Xénard , Marc Durand

Multifunctionality describes the capacity for a neural network to perform multiple mutually exclusive tasks without altering its network connections; and is an emerging area of interest in the reservoir computing machine learning paradigm.…

Machine Learning · Computer Science 2023-06-06 Jacob Morra , Andrew Flynn , Andreas Amann , Mark Daley

Quantum computation with photons requires efficient two photon gates. We put forward a two photon entangling gate which uses an intermediate atomic system. The system includes a single Rydberg atom which can switch on and off photon…

Quantum Physics · Physics 2015-03-19 Juan Carlos Garcia-Escartin , Pedro Chamorro-Posada

This study investigates the performance of a binarized neuromorphic network leveraging polariton dyads, optically excited pairs of interfering polariton condensates within a microcavity to function as binary logic gate neurons. Employing…

Disordered Systems and Neural Networks · Physics 2024-11-12 Evgeny Sedov , Alexey Kavokin

The living mycelium networks are capable of efficient sensorial fusion over very large areas and distributed decision making. The information processing in the mycelium networks is implemented via propagation of electrical and chemical…

Multiplier circuits play an important role in reversible computation, which is helpful in diverse areas such as low power CMOS design, optical computing, DNA computing and bioinformatics. Here we propose a new reversible multiplier circuit…

Quantum Physics · Physics 2009-07-21 Anindita Banerjee , Anirban Pathak

In living systems, we often see the emergence of the ingredients necessary for computation -- the capacity for information transmission, storage, and modification -- begging the question of how we may exploit or imitate such biological…

Neurons and Cognition · Quantitative Biology 2020-09-11 Kristine Heiney , Gunnar Tufte , Stefano Nichele

Spin qubits offer one of the most promising routes to the implementation of quantum computers. Very recent results in semiconductor quantum dots show that electrically-controlled gating schemes are particularly well-suited for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jörg Lehmann , Alejandro Gaita-Ariño , Eugenio Coronado , Daniel Loss

Matrix-matrix multiplication is a fundamental operation of great importance to scientific computing and, increasingly, machine learning. It is a simple enough concept to be introduced in a typical high school algebra course yet in practice…

Mathematical Software · Computer Science 2016-09-02 Jianyu Huang , Robert A. van de Geijn

The slime mould Physarum polycephalum has emerged as a model for self-organisation and coordination of contractile activity at large spatial scales. This self-organisation largely results from cytoplasmic flows generated by propagating…

Soft Condensed Matter · Physics 2025-09-23 Raphael Saiseau , Valentin Busson , Marc Durand

The memristor is promising to be the basic cell of next-generation computation systems. Compared to the traditional MOSFET device, the memristor is efficient over energy and area. But one of the biggest challenges faced with researchers is…

Emerging Technologies · Computer Science 2016-11-22 Junyi Li , Fulin Peng , Fan Yang , Xuan Zeng

Memristors have been suggested as a novel route to neuromorphic computing based on the similarity between neurons (synapses and ion pumps) and memristors. The D.C. action of the memristor is a current spike, which we think will be fruitful…

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

We consider a two-dimensional spin system that exhibits abelian anyonic excitations. Manipulations of these excitations enable the construction of a quantum computational model. While the one-qubit gates are performed dynamically the model…

Quantum Physics · Physics 2007-08-28 Jiannis K. Pachos

We show that the Hadamard and Unitary gates could be implemented by a unitary evolution together with a measurement for any unknown state chosen from a set $A = {{| {\Psi_i} > ,| {\bar {\Psi}_i} >}}({i = 1,2})$ if and only if $| {\Psi_1} >…

Quantum Physics · Physics 2009-11-10 Wei Song , Ming Yang , Zhuo-Liang Cao

We consider theoretical models of the nanolaser and logic gates on carbon nanotubes (CNTs). In our work, it is shown at pumping the nanoresonator of the nanolaser on CNT by optical radiation using a quantum dot as nano light emitted diode…

Optics · Physics 2025-11-18 I. V. Dzedolik , S. V. Tomilin

We observe structure in the sequences of quotients and remainders of the Euclidean algorithm with two families of inputs. Analyzing the remainders, we obtain new algorithms for computing modular inverses and representating prime numbers by…

Number Theory · Mathematics 2017-04-05 Christina Doran , Shen Lu , Barry R. Smith