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I introduce a new type of continuous-time quantum walk on graphs called the quantum snake walk, the basis states of which are fixed-length paths (snakes) in the underlying graph. First I analyze the quantum snake walk on the line, and I…

Quantum Physics · Physics 2013-05-29 Ansis Rosmanis

We introduce and simulate the random walk that adapts move strategies according to local node preferences on a directed graph. We consider graphs with double-hierarchical connectivity and variable wiring diagram in the universality class of…

Statistical Mechanics · Physics 2007-05-23 Bosiljka Tadic

A rise in Advanced Persistent Threats (APTs) has introduced a need for robustness against long-running, stealthy attacks which circumvent existing cryptographic security guarantees. FlipIt is a security game that models attacker-defender…

Cryptography and Security · Computer Science 2019-12-24 Lisa Oakley , Alina Oprea

In scenarios where multiple decision-makers operate within a common decision space, each focusing on their own multi-objective optimization problem (e.g., bargaining games), the problem can be modeled as a multi-party multi-objective…

Neural and Evolutionary Computing · Computer Science 2025-11-04 Yuetong Sun , Peilan Xu , Wenjian Luo

Significant research has been carried out recently to find the optimal path in network routing. Among them, the evolutionary algorithm approach is an area where work is carried out extensively. We in this paper have used particle swarm…

Networking and Internet Architecture · Computer Science 2014-07-22 Kavitha Sooda , T. R. Gopalakrishnan Nair

The concept of open quantum walks (OQW), quantum walks exclusively driven by the interaction with the external environment, is reviewed. OQWs are formulated as discrete completely positive maps on graphs. The basic properties of OQWs are…

Quantum Physics · Physics 2014-02-11 I. Sinayskiy , F. Petruccione

This paper proposes a new perspective on the conventional planar target tracking problem. One evader and one pursuer are considered in the dynamics. In the planar tracking, pursuer has the ability to measure the position and the velocity…

Systems and Control · Computer Science 2018-01-10 Nan Yu , Chifu Yang , Miao Li

Basically, in (one-player) war Real Time Strategy (wRTS) games a human player controls, in real time, an army consisting of a number of soldiers and her aim is to destroy the opponent's assets where the opponent is a virtual (i.e.,…

Neural and Evolutionary Computing · Computer Science 2012-01-17 José A. García Gutiérrez , Carlos Cotta , Antonio J. Fernández-Leiva

Random walks on graphs can be slow. To speed them up, imagine that at each step instead of choosing the neighbor at random, there is a small probability $\varepsilon>0$ that we can choose it. We show that in this case, at least for graphs…

Probability · Mathematics 2026-05-19 Boris Bukh , Quentin Dubroff

Our aim is to present a new model which encompasses pace optimization and motor control effort for a runner on a fixed distance. We see that for long races, the long term behaviour is well approximated by a turnpike problem. We provide…

Optimization and Control · Mathematics 2021-05-06 Amandine Aftalion , Emmanuel Trélat

Step adjustment for humanoid robots has been shown to improve robustness in gaits. However, step duration adaptation is often neglected in control strategies. In this paper, we propose an approach that combines both step location and timing…

Robotics · Computer Science 2016-12-13 Majid Khadiv , Alexander Herzog , S. Ali. A. Moosavian , Ludovic Righetti

A genetic algorithm (GA) is a search-based optimization technique based on the principles of Genetics and Natural Selection. We present an algorithm which enhances the classical GA with input from quantum annealers. As in a classical GA,…

Quantum Physics · Physics 2022-09-16 Steven Abel , Luca A. Nutricati , Michael Spannowsky

Pursuit-evasion scenarios appear widely in robotics, security domains, and many other real-world situations. We focus on two-player pursuit-evasion games with concurrent moves, infinite horizon, and discounted rewards. We assume that the…

Computer Science and Game Theory · Computer Science 2016-08-05 Karel Horák , Branislav Bošanský

The enormous successes have been made by quantum algorithms during the last decade. In this paper, we combine the quantum random walk (QRW) with the problem of data clustering, and develop two clustering algorithms based on the one…

Machine Learning · Computer Science 2008-12-09 Qiang Li , Yan He , Jing-ping Jiang

In recent years, there has been an emerging trend of combining two innovations in computer science and physics to achieve better computation capability. Exploring the potential of quantum computation to achieve highly efficient performance…

Quantum Physics · Physics 2023-03-13 Yen-Jui Chang , Wei-Ting Wang , Hao-Yuan Chen , Shih-Wei Liao , Ching-Ray Chang

We explore strategies aimed at reducing the amount of computation, both quantum and classical, required to run the Quantum Approximate Optimization Algorithm (QAOA). First, following Wurtz et al. [Phys.Rev A 104:052419], we consider the…

Autonomous spacecraft maneuver planning using an evolutionary algorithmic approach is investigated. Simulated spacecraft were placed into four different initial orbits. Each was allowed a string of thirty delta-v impulse maneuvers in six…

Neural and Evolutionary Computing · Computer Science 2020-11-17 Sidhdharth Sikka , Harshvardhan Sikka

The development of quantum algorithms based on quantum versions of random walks is placed in the context of the emerging field of quantum computing. Constructing a suitable quantum version of a random walk is not trivial: pure quantum…

Quantum Physics · Physics 2007-05-23 Viv Kendon

Intransitivity is supposed to be a main reason for deficits in coevolutionary progress and inheritable superiority. Besides, coevolutionary dynamics is characterized by interactions yielding subjective fitness, but aiming at solutions that…

Neural and Evolutionary Computing · Computer Science 2016-11-30 Hendrik Richter

We study pursuit-evasion in a polygonal environment with polygonal obstacles. In this turn based game, an evader $e$ is chased by pursuers $p_1, p_2, ..., p_{\ell}$. The players have full information about the environment and the location…

Computational Geometry · Computer Science 2014-10-21 Brendan Ames , Andrew Beveridge , Rosalie Carlson , Claire Djang , Volkan Isler , Stephen Ragain , Maxray Savage