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The spontaneous emission rate (SER) is an important figure of merit for anyquantum bit (qubit), as it can play a significant role in the control anddecoherence of the qubit. As a result, accurately characterizing the SER forpractical devices is an important step in the design of quantum informationprocessing devices. Here, we specifically focus on the experimentally popularplatform of a transmon qubit, which is a kind of superconducting circuit qubit.Despite the importance of understanding the SER of these qubits, it is oftendetermined using approximate circuit models or is inferred from measurements ona fabricated device. To improve the accuracy of predictions in the designprocess, it is better to use full-wave numerical methods that can make aminimal number of approximations in the description of practical systems. Inthis work, we show how this can be done with a recently developed field-baseddescription of transmon qubits coupled to an electromagnetic environment. Wevalidate our model by computing the SER for devices similar to those found inthe literature that have been well-characterized experimentally. We furthercross-validate our results by comparing them to simplified lumped elementcircuit and transmission line models as appropriate.

Full-Wave Methodology to Compute the Spontaneous Emission Rate of a Transmon Qubit