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A graph-theoretical representation of multiphoton resonance processes in superconducting quantum circuits

Jooya, Hossein Z.
Reihani, Kamran
Chu, Shih-I
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Abstract
We propose a graph-theoretical formalism to study generic circuit quantum electrodynamics systems consisting of a two level qubit coupled with a single-mode resonator in arbitrary coupling strength regimes beyond rotating-wave approximation. We define colored-weighted graphs, and introduce different products between them to investigate the dynamics of superconducting qubits in transverse, longitudinal, and bidirectional coupling schemes. The intuitive and predictive picture provided by this method, and the simplicity of the mathematical construction, are demonstrated with some numerical studies of the multiphoton resonance processes and quantum interference phenomena for the superconducting qubit systems driven by intense ac fields.
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Date
2016-11-21
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Nature Publishing Group
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Keywords
Atomic and molecular interactions with photons, Information theory and computation
Citation
Jooya, Hossein Z., Kamran Reihani, and Shih-I Chu. "A Graph-theoretical Representation of Multiphoton Resonance Processes in Superconducting Quantum Circuits." Scientific Reports 6 (2016): 37544.
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