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Journal of Undergraduate Research

Journal

Entanglement

Publication Year

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Full-Text Articles in Physics

Relating Quantum Dynamics And Entanglement, John Gardiner, Jean-Francois Van Huele Mar 2015

Relating Quantum Dynamics And Entanglement, John Gardiner, Jean-Francois Van Huele

Journal of Undergraduate Research

Introduction Entanglement is a quantum phenomenon that is important to many applications including quantum computing and cryptography. The way that a quantum system changes in time is encoded in a mathematical object called the Hamiltonian of the system. The goal of this project was to better understand the relation between the quantum dynamics of a system, as described by the Hamiltonian, and the entanglements that arise in the system, with the bigger goal of better understanding how entanglement changes in time. To this end I studied computer simulations of simple quantum systems to observe how certain features of the Hamiltonian …


Simulation Of A Quantum Algorithm On A Classical Computer, Brent Kraczek, Dr. Jean-Francois Van Huele Jan 2014

Simulation Of A Quantum Algorithm On A Classical Computer, Brent Kraczek, Dr. Jean-Francois Van Huele

Journal of Undergraduate Research

Quantum computation is a recent idea of how to use quantum mechanics to improve computer performance. Although a full quantum computer has not yet been built, a few algorithms have been developed which take advantage of different aspects of quantum mechanics. David Deutsch, one of the founders of quantum computation, claims that “classical computation” is based on the mathematics allowed by classical physics–what we experience in everyday life; quantum computation is based on the mathematics allowed by quantum mechanics [1]. My research centers on understanding the differences between classical and quantum computation through one such algorithm, Shor’s prime factorization algorithm …