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Trapped Ion Quantum Computing Superconducting Qubits

Computational modeling of decay and hybridization in superconducting circuits

arXiv
Authors: Michael G. Scheer, Maxwell B. Block

Year

2018

Paper ID

23772

Status

Preprint

Abstract Read

~2 min

Abstract Words

102

Citations

N/A

Abstract

We present a framework for modeling superconducting circuits that integrates classical microwave analysis with circuit quantization. Our framework enables the calculation of the lossy eigenmodes of superconducting circuits, and we demonstrate the method by analyzing several circuits relevant to multiplexed, Purcell filtered transmon readout architectures. We show that the transmon relaxation times obtained by our method agree with the established approximation T1 approx C/Re\[Y\(iωq\)\] away from environmental resonances and do not vanish on resonance. We also show that the hybridization of the modes in the readout circuit is highly sensitive to the bandwidth of the Purcell filter.

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  • This paper contributes to the Superconducting Qubits research area in the Quantum Articles archive.
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  • We present a framework for modeling superconducting circuits that integrates classical microwave analysis with circuit quantization.

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