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Tutorial: Introduction to Circuit Quantum Electrodynamics
We introduce the fundamentals of quantum theory as applied to lumped element circuits and simple microwave systems, assuming no prior knowledge of quantum mechanics. Circuit quantum electrodynamics will be covered by employing Lagrangian and Hamiltonian analysis and canonical quantization. A short discussion of how these basic principles can be used to understand the control of superconducting qubits will then be covered. These fundamental principles will be built on in the workshop's remaining talks to look at various modern problems in quantum circuit hardware, methods, and algorithms as applied to microwave engineering.