Journal of Undergraduate Research


quantum dynamics, entanglement, cryptography, Hamiltonian


Physical and Mathematical Sciences


Physics and Astronomy


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 were reflected in the ensuing entanglements.

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