This paper proposes a novel evolutionary computing method called a genetic quantum algorithm (GQA). GQA is based on the concept and principles of quantum computing such as qubits and superposition of states. Instead of binary, numeric, or symbolic representation, by adopting qubit chromosome as a representation GQA can represent a linear superposition of solutions due to its probabilistic repre...

Abstract. Gaussian beams are asymptotically valid high frequency solutions to hyperbolic partial differential equations, concentrated on a single curve through the physical domain. They can also be extended to some dispersive wave equations, such as the Schrödinger equation. Superpositions of Gaussian beams provide a powerful tool to generate more general high frequency solutions that are not n...

Periodic elasticity problem is attractive subject and important from the theoretical and practical viewpoints. In this paper, we propose a fundamental solution method for elasticity problems of planes with one-dimensional periodic structure. The fundamental solution method [4, 15] is a numerical solver for partial differential equation problems and is widely used in science and engineering, esp...

Quantum computing is implicated as a next-generation solution to supplement traditional von Neumann architectures in an era of post-Moore's law computing. As classical computational infrastructure becomes more limited, quantum platforms offer expandability terms scale, energy consumption, and native 3-D problem modeling. information science multidisciplinary field drawing from physics, mathemat...

Absorption and emission of light is studied theoretically for excited atoms in coherent superposition states subjected to isolated attosecond pulses the extreme ultraviolet range. A gauge-invariant formulation transient absorption theory motivated using energy operator from Yang's gauge theory. The interaction, which simultaneously couples both bound continuum states, simulated by solving time-...

By studying the diffusion operator in Grover’s quantum search algorithm, we find a mathematical analogy between quantum searching and classical, elastic two-body collisions. We exploit this analogy using a thought experiment involving multiple collisions between two-bodies to help illuminate why Grover’s quantum search algorithm works. Related issues are discussed. PACS numbers: 03.67. Quantum ...

The “measurement problem” can be thought of as indicating a serious flaw in the foundations of quantum theory[1], and therefore a potential clue to new physics. When a measurement is described by Schrödinger’s equation, the statevector evolves to a superposition of apparatus states, each recording a different outcome. This conflicts with the interpretation of the statevector as describing “real...

We combine constrained literals for model representation with key concepts from first-order superposition and propositional conflict-driven clause learning (CDCL) to create the new calculus Non-Redundant Clause Learning (NRCL) deciding the Bernays-Schönfinkel fragment. Our calculus uses first-order literals constrained by disequations between tuples of terms for compact model representation. Fr...