Dynamics of a dispersively coupled transmon qubit in the presence of a noise source embedded in the control line
Dynamics of a dispersively coupled transmon qubit in the presence of a noise source embedded in the control line
We describe transmon qubit dynamics in the presence of noise introduced by an impedance-matched resistor $(50\phantom{\rule{4pt}{0ex}}\mathrm{\ensuremath{\Omega}})$ that is embedded in the qubit control line. To obtain the time evolution, we rigorously derive the circuit Hamiltonian of the qubit, readout resonator and resistor by describing the latter as an infinite collection …