**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**157

# Search results for: Quantum Prime Factorization

##### 157 A Post Processing Method for Quantum Prime Factorization Algorithm based on Randomized Approach

**Authors:**
Mir Shahriar Emami,
Mohammad Reza Meybodi

**Abstract:**

**Keywords:**
Quantum Prime Factorization,
RandomizedAlgorithms,
Quantum Computer Simulation,
Quantum Computation.

##### 156 (R, S)-Modules and (1, k)-Jointly Prime (R, S)-Submodules

**Authors:**
Thawatchai Khumprapussorn

**Abstract:**

We introduced the notions of (1, k)-prime ideal and (1, k)-jointly prime (R, S)-submodule as a generalization of prime ideal and jointly prime (R, S)-submodule, respectively. We provide a relationship between (1, k)-prime ideal and (1, k)-jointly prime (R, S)-submodule. Characterizations of (1, k)-jointly prime (R, S)- submodules are also given.

**Keywords:**
R,
S)-module,
(1,
k)-prime ideal,
(1,
k)-jointly prime (R,
S)-submodule.

##### 155 A Programmer’s Survey of the Quantum Computing Paradigm

**Authors:**
Philippe Jorrand

**Abstract:**

Research in quantum computation is looking for the consequences of having information encoding, processing and communication exploit the laws of quantum physics, i.e. the laws which govern the ultimate knowledge that we have, today, of the foreign world of elementary particles, as described by quantum mechanics. This paper starts with a short survey of the principles which underlie quantum computing, and of some of the major breakthroughs brought by the first ten to fifteen years of research in this domain; quantum algorithms and quantum teleportation are very biefly presented. The next sections are devoted to one among the many directions of current research in the quantum computation paradigm, namely quantum programming languages and their semantics. A few other hot topics and open problems in quantum information processing and communication are mentionned in few words in the concluding remarks, the most difficult of them being the physical implementation of a quantum computer. The interested reader will find a list of useful references at the end of the paper.

**Keywords:**
Quantum information processing,
quantum algorithms,
quantum programming languages.

##### 154 Numerical Calculation of the Ionization Energy of Donors in a Cubic Quantum well and Wire

**Authors:**
Sara Sedaghat,
Mahmood Barati,
Iraj Kazeminezhad

**Abstract:**

**Keywords:**
quantum well,
quantum wire,
quantum dot,
impuritystate

##### 153 An Authentication Protocol for Quantum Enabled Mobile Devices

**Authors:**
Natarajan Venkatachalam,
Subrahmanya V. R. K. Rao,
Vijay Karthikeyan Dhandapani,
Swaminathan Saravanavel

**Abstract:**

**Keywords:**
Quantum cryptography,
quantum key distribution,
wireless quantum communication,
authentication protocol,
quantum
enabled device,
trusted third party.

##### 152 Prime Cordial Labeling on Graphs

**Authors:**
S. Babitha,
J. Baskar Babujee

**Abstract:**

A prime cordial labeling of a graph G with vertex set V is a bijection f from V to {1, 2, ..., |V |} such that each edge uv is assigned the label 1 if gcd(f(u), f(v)) = 1 and 0 if gcd(f(u), f(v)) > 1, then the number of edges labeled with 0 and the number of edges labeled with 1 differ by at most 1. In this paper we exhibit some characterization results and new constructions on prime cordial graphs.

**Keywords:**
Prime cordial,
tree,
Euler,
bijective,
function.

##### 151 On Weakly Prime and Weakly Quasi-Prime Fuzzy Left Ideals in Ordered Semigroups

**Authors:**
Jian Tang

**Abstract:**

In this paper, we first introduce the concepts of weakly prime and weakly quasi-prime fuzzy left ideals of an ordered semigroup S. Furthermore, we give some characterizations of weakly prime and weakly quasi-prime fuzzy left ideals of an ordered semigroup S by the ordered fuzzy points and fuzzy subsets of S.

**Keywords:**
Ordered semigroup,
ordered fuzzy point,
weakly prime
fuzzy left ideal,
weakly quasi-prime fuzzy left ideal.

##### 150 Prime(Semiprime) Fuzzy h-ideal in Γ-hemiring

**Authors:**
Sujit Kumar Sardar,
Debabrata Mandal

**Abstract:**

**Keywords:**
Γ-hemiring,
Fuzzy h-ideals,
Prime fuzzy left h-ideal,
Prime(semiprime) (∈,
∈ ∨q)-fuzzy left h-bi-ideal(h-ideal,
h-quasiideal),
Cartesian product

##### 149 The Magnetized Quantum Breathing in Cylindrical Dusty Plasma

**Authors:**
A. Abdikian

**Abstract:**

**Keywords:**
The linear quantum hydrodynamic model,
the magnetized quantum breathing mode,
the quantum dispersion relation of rotation mode,
void structure.

##### 148 A Computer Model of Quantum Field Theory

**Authors:**
Hans H. Diel

**Abstract:**

This paper describes a computer model of Quantum Field Theory (QFT), referred to in this paper as QTModel. After specifying the initial configuration for a QFT process (e.g. scattering) the model generates the possible applicable processes in terms of Feynman diagrams, the equations for the scattering matrix, and evaluates probability amplitudes for the scattering matrix and cross sections. The computations of probability amplitudes are performed numerically. The equations generated by QTModel are provided for demonstration purposes only. They are not directly used as the base for the computations of probability amplitudes. The computer model supports two modes for the computation of the probability amplitudes: (1) computation according to standard QFT, and (2) computation according to a proposed functional interpretation of quantum theory.

**Keywords:**
Computational Modeling,
Simulation of Quantum Theory,
Quantum Field Theory,
Quantum Electrodynamics

##### 147 Learning to Recommend with Negative Ratings Based on Factorization Machine

**Authors:**
Caihong Sun,
Xizi Zhang

**Abstract:**

Rating prediction is an important problem for recommender systems. The task is to predict the rating for an item that a user would give. Most of the existing algorithms for the task ignore the effect of negative ratings rated by users on items, but the negative ratings have a significant impact on users’ purchasing decisions in practice. In this paper, we present a rating prediction algorithm based on factorization machines that consider the effect of negative ratings inspired by Loss Aversion theory. The aim of this paper is to develop a concave and a convex negative disgust function to evaluate the negative ratings respectively. Experiments are conducted on MovieLens dataset. The experimental results demonstrate the effectiveness of the proposed methods by comparing with other four the state-of-the-art approaches. The negative ratings showed much importance in the accuracy of ratings predictions.

**Keywords:**
Factorization machines,
feature engineering,
negative ratings,
recommendation systems.

##### 146 Proposal of Optimality Evaluation for Quantum Secure Communication Protocols by Taking the Average of the Main Protocol Parameters: Efficiency, Security and Practicality

**Authors:**
Georgi Bebrov,
Rozalina Dimova

**Abstract:**

**Keywords:**
Quantum cryptography,
quantum secure
communcation,
quantum secure direct communcation security,
quantum secure direct communcation efficiency,
quantum secure
direct communcation practicality.

##### 145 Behavior of Current in a Semiconductor Nanostructure under Influence of Embedded Quantum Dots

**Authors:**
H. Paredes Gutiérrez,
S. T. Pérez-Merchancano

**Abstract:**

Motivated by recent experimental and theoretical developments, we investigate the influence of embedded quantum dot (EQD) of different geometries (lens, ring and pyramidal) in a double barrier heterostructure (DBH). We work with a general theory of quantum transport that accounts the tight-binding model for the spin dependent resonant tunneling in a semiconductor nanostructure, and Rashba spin orbital to study the spin orbit coupling. In this context, we use the second quantization theory for Rashba effect and the standard Green functions method. We calculate the current density as a function of the voltage without and in the presence of quantum dots. In the second case, we considered the size and shape of the quantum dot, and in the two cases, we worked considering the spin polarization affected by external electric fields. We found that the EQD generates significant changes in current when we consider different morphologies of EQD, as those described above. The first thing shown is that the current decreases significantly, such as the geometry of EQD is changed, prevailing the geometrical confinement. Likewise, we see that the current density decreases when the voltage is increased, showing that the quantum system studied here is more efficient when the morphology of the quantum dot changes.

**Keywords:**
Quantum semiconductors,
nanostructures,
quantum dots,
spin polarization.

##### 144 1/f Noise in Quantum-Size Heteronanostructures Based On GaAs and Alloys

**Authors:**
Alexey V. Klyuev,
Arkady. V. Yakimov

**Abstract:**

The 1/f noise investigation in nanoscale light-emitting diodes and lasers, based on GaAs and alloys, is presented here. Leakage and additional (to recombination through quantum wells and/or dots) nonlinear currents were detected and it was shown that these currents are the main source of the 1/f noise in devices studied.

**Keywords:**
Lasers,
light-emitting diodes,
quantum dots,
quantum wells,
1/f noise.

##### 143 An Algorithm of Ordered Schur Factorization For Real Nonsymmetric Matrix

**Authors:**
Lokendra K. Balyan

**Abstract:**

**Keywords:**
Schur Factorization,
Eigenvalues of nonsymmetric matrix,
Orthoganal matrix.

##### 142 A method of Authentication for Quantum Networks

**Authors:**
Stefan Rass

**Abstract:**

**Keywords:**
Meet-in-the-middle attack,
quantum key distribution,
quantum networks,
unconditionally secure authentication.

##### 141 The Baer Radical of Rings in Term of Prime and Semiprime Generalized Bi-ideals

**Authors:**
Rattiya Boonruang,
Aiyared Iampan

**Abstract:**

**Keywords:**
ring,
prime and semiprime (generalized) bi-ideal,
Baer
radical.

##### 140 UD Covariance Factorization for Unscented Kalman Filter using Sequential Measurements Update

**Authors:**
H. Ghanbarpour Asl,
S. H. Pourtakdoust

**Abstract:**

**Keywords:**
Unscented Kalman filter,
Square-root unscentedKalman filter,
UD covariance factorization,
Target tracking.

##### 139 Entanglement-based Quantum Computing by Diagrams of States

**Authors:**
Sara Felloni,
Giuliano Strini

**Abstract:**

**Keywords:**
Diagrams of states,
entanglement,
quantum circuits,
quantum information.

##### 138 Pythagorean-Platonic Lattice Method for Finding all Co-Prime Right Angle Triangles

**Authors:**
Anthony Overmars,
Sitalakshmi Venkatraman

**Abstract:**

This paper presents a method for determining all of the co-prime right angle triangles in the Euclidean field by looking at the intersection of the Pythagorean and Platonic right angle triangles and the corresponding lattice that this produces. The co-prime properties of each lattice point representing a unique right angle triangle are then considered. This paper proposes a conjunction between these two ancient disparaging theorists. This work has wide applications in information security where cryptography involves improved ways of finding tuples of prime numbers for secure communication systems. In particular, this paper has direct impact in enhancing the encryption and decryption algorithms in cryptography.

**Keywords:**
Pythagorean triples,
platonic triples,
right angle triangles,
co-prime numbers,
cryptography.

##### 137 Propagation of Nonlinear Surface Waves in Relativistically Degenerate Quantum Plasma Half-Space

**Authors:**
Swarniv Chandra,
Parthasona Maji,
Basudev Ghosh

**Abstract:**

The nonlinear self-interaction of an electrostatic surface wave on a semibounded quantum plasma with relativistic degeneracy is investigated by using quantum hydrodynamic (QHD) model and the Poisson’s equation with appropriate boundary conditions. It is shown that a part of the second harmonic generated through self-interaction does not have a true surface wave character but propagates obliquely away from the plasma-vacuum interface into the bulk of plasma.

**Keywords:**
Harmonic Generation,
Quantum Plasma,
Quantum Hydrodynamic Model,
Relativistic Degeneracy,
Surface waves.

##### 136 Instability of Electron Plasma Waves in an Electron-Hole Bounded Quantum Dusty Plasma

**Authors:**
Basudev Ghosh,
Sailendranath Paul,
Sreyasi Banerjee

**Abstract:**

Using quantum hydrodynamical (QHD) model the linear dispersion relation for the electron plasma waves propagating in a cylindrical waveguide filled with a dense plasma containing streaming electron, hole and stationary charged dust particles has been derived. It is shown that the effect of finite boundary and stream velocity of electrons and holes make some of the possible modes of propagation linearly unstable. The growth rate of this instability is shown to depend significantly on different plasma parameters.

**Keywords:**
Electron Plasma wave,
Quantum plasma,
Quantum Hydrodynamical model.

##### 135 Unconditionally Secure Quantum Payment System

**Authors:**
Essam Al-Daoud

**Abstract:**

A potentially serious problem with current payment systems is that their underlying hard problems from number theory may be solved by either a quantum computer or unanticipated future advances in algorithms and hardware. A new quantum payment system is proposed in this paper. The suggested system makes use of fundamental principles of quantum mechanics to ensure the unconditional security without prior arrangements between customers and vendors. More specifically, the new system uses Greenberger-Home-Zeilinger (GHZ) states and Quantum Key Distribution to authenticate the vendors and guarantee the transaction integrity.

**Keywords:**
Bell state,
GHZ state,
Quantum key distribution,
Quantum payment system.

##### 134 Zero Divisor Graph of a Poset with Respect to Primal Ideals

**Authors:**
Hossein Pourali

**Abstract:**

**Keywords:**
Zero divisors graph,
ideal,
prime ideal,
semiprime
ideal,
primal ideal,
weakly primal ideal,
associated prime ideal,
primary ideal.

##### 133 Nonplanar Ion-acoustic Waves in a Relativistically Degenerate Quantum Plasma

**Authors:**
Swarniv Chandra,
Sibarjun Das,
Agniv Chandra,
Basudev Ghosh,
Apratim Jash

**Abstract:**

**Keywords:**
Kadomtsev-Petviashvili equation,
Ion-acoustic
Waves,
Relativistic Degeneracy,
Quantum Plasma,
Quantum
Hydrodynamic Model.

##### 132 Quantum Computing: A New Era of Computing

**Authors:**
Jyoti Chaturvedi Gursaran

**Abstract:**

Nature conducts its action in a very private manner. To reveal these actions classical science has done a great effort. But classical science can experiment only with the things that can be seen with eyes. Beyond the scope of classical science quantum science works very well. It is based on some postulates like qubit, superposition of two states, entanglement, measurement and evolution of states that are briefly described in the present paper. One of the applications of quantum computing i.e. implementation of a novel quantum evolutionary algorithm(QEA) to automate the time tabling problem of Dayalbagh Educational Institute (Deemed University) is also presented in this paper. Making a good timetable is a scheduling problem. It is NP-hard, multi-constrained, complex and a combinatorial optimization problem. The solution of this problem cannot be obtained in polynomial time. The QEA uses genetic operators on the Q-bit as well as updating operator of quantum gate which is introduced as a variation operator to converge toward better solutions.

**Keywords:**
Quantum computing,
qubit,
superposition,
entanglement,
measurement of states,
evolution of states,
Scheduling
problem,
hard and soft constraints,
evolutionary algorithm,
quantum
evolutionary algorithm.

##### 131 Novel Design of Quantum Dot Arrays to Enhance Near-Fields Excitation Resonances

**Authors:**
N. H. Ismail,
A. A. A. Nassar,
K. H. Baz

**Abstract:**

Semiconductor crystals smaller than about 10 nm, known as quantum dots, have properties that differ from large samples, including a band gap that becomes larger for smaller particles. These properties create several applications for quantum dots. In this paper new shapes of quantum dot arrays are used to enhance the photo physical properties of gold nano-particles. This paper presents a study of the effect of nano-particles shape, array, and size on their absorption characteristics.

**Keywords:**
Quantum Dots,
Nano-Particles,
LSPR.

##### 130 A Functional Interpretation of Quantum Theory

**Authors:**
Hans H. Diel

**Abstract:**

**Keywords:**
Computability,
Foundation of Quantum Mechanics,
Measurement Problem,
Models of Physics.

##### 129 The Hall Coefficient and Magnetoresistance in Rectangular Quantum Wires with Infinitely High Potential under the Influence of a Laser Radiation

**Authors:**
Nguyen Thu Huong,
Nguyen Quang Bau

**Abstract:**

**Keywords:**
Hall coefficient,
rectangular quantum wires,
electron-optical phonon interaction,
quantum kinetic equation.

##### 128 A Quantum Algorithm of Constructing Image Histogram

**Authors:**
Yi Zhang,
Kai Lu,
Ying-hui Gao,
Mo Wang

**Abstract:**

**Keywords:**
Quantum Image Representation,
Quantum
Algorithm,
Image Histogram.