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Quantum Dynamics of Qubits
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The basic unit of information within quantum mechanics can be modeled through two-level systems to provide a foundational understanding of quantum information theory. These quantum systems, which can be represented by qubits, can be transformed and manipulated when strongly coupled to an applied electromagnetic field. I study the quantum dynamics of two-level systems strongly coupled to a classical electromagnetic field, with the inclusion of dissipation and decoherence, to understand the method of using state transitions to transmit information. Using the advantages of π pulses, I solve for analytical solutions of differing electromagnetic pulses that would create transitions within a variety of particles serving as qubit candidates. The stochastic Schroedinger equation approach for the Lindbald approximation is used to provide insight into including dissipation of the states and decoherence of the electromagnetic field within the quantum systems. The electromagnetic effects of a qubit-cavity system are observed to establish a realistic understanding of the scenario and provide the experimental requirements to create transitions through the use of pulsed light. I also study the coupled interaction of electromagnetic pulses between multiple qubits to determine the conditions for interchanging states between the qubits. The goal of these theoretical topics is to create a quantum system of qubits that can be used to function as a quantum gate for computation. Poster #20 Development of a Hall Probe Device for the Mapping of Magnetic Fields in a Solenoid Christian Ratcliff
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Texas A&M University / 2023
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