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Entanglement concentration of W state using linear optics with a higher success probability
Entanglement concentration protocol (ECP), as a practical technique, can be use to preclude degraded fidelity and improve security in long-haul...
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Hypercube quantum search: exact computation of the probability of success in polynomial time
In the emerging domain of quantum algorithms, Grover’s quantum search is certainly one of the most significant. It is relatively simple, performs a...
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Discrete Probability Distributions
The main properties of discrete probability distributions are presented. Joint, marginal, and conditional distributions are introduced, with the main...
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Comparing Data with Probability Distributions
In this activity experimental distributions obtained by counting events with a Geiger counter are compared with the expected theoretical probability...
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Probability and Typicality in Statistical Mechanics
Detlef Dürr was inspirational to many who write about issues in the philosophical foundations of physics and probability. For many years I have been...
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Generalizing the Probability Integral
This chapter explores how mathematicians have generalized the probability integral. Cauchy’s unhappiness with the use of imaginary quantities in...
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Bayesian Probability and Inference
Bayes’ theorem is presented with its applications. Bayesian approach to probability is then introduced, with a discussion of possible applications....
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De Finetti Theorems for Quantum Conditional Probability Distributions with Symmetry
The aim of device-independent quantum key distribution (DIQKD) is to study protocols that allow the generation of a secret shared key between two...
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The capture probability of Dawn into ground-track resonances with Vesta
The Dawn spacecraft approached the asteroid Vesta and descended from a high-altitude mission orbit to a low-altitude mission orbit using low-thrust...
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Realization of a quantum neural network using repeat-until-success circuits in a superconducting quantum processor
Artificial neural networks are becoming an integral part of digital solutions to complex problems. However, employing neural networks on quantum...
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Theory of Probability
The theory of probability is the mathematical framework for the study of the probability of occurrence of events. The first step is to establish a...
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A New Organization of Quantum Theory Based on Quantum Probability
Quantum probability is used to provide a new organization of basic quantum theory in a logical, axiomatic way. The principal thesis is that there is...
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A general quantum minimum searching algorithm with high success rate and its implementation
Finding a minimum is a fundamental calculation in many quantum algorithms. However, challenges are faced in demonstrating it effectively in real...
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De Moivre and the Discovery of the Probability Integral
A biographical overview of the life of Abraham De Moivre and of his discovery of the probability integral. Included is some discussion of probability...
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Probability
It is difficult to overestimate the importance of probability theory given the pervasiveness that chance and uncertainty have in all aspects of human...
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Even and Odd Schrödinger Cat States in the Probability Representation of Quantum Mechanics
We consider even and odd coherent states (Schrödinger cat states) in the probability representation of quantum mechanics. The probability...
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Duality for Optimal Couplings in Free Probability
We study the free probabilistic analog of optimal couplings for the quadratic cost, where classical probability spaces are replaced by tracial von...
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Probability and entanglement evolutions for Szegedy’s quantum search on the one-dimensional cycle with self-loops
The Szegedy’s quantum walk can give rise to a quadratic speed-up when the Markov chain is ergodic and symmetric. However, the quantum search on a...
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Homophily impacts the success of vaccine roll-outs
Physical contacts do not occur randomly, rather, individuals with similar socio-demographic and behavioral characteristics are more likely to...
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Constructing probability density function of net-proton multiplicity distributions using Pearson curve method
The probability density functions of proton, anti-proton, and net-proton multiplicity distributions are constructed from the Beam Energy Scan results...
