Type YES into the blank below after reading the following: I…

Type YES into the blank below after reading the following: I understand I have to upload my work in the last question of the test.  Work submitted through email will have a deduction of points.  ONLY if there are extenuating circumstances and I have technical difficulties when uploading work, I am to screenshot the technical issue when submitting my work to my teacher through email. You can email Mr. Brown at wbrown@dwight.global or Mrs. Thul at lthul@dwight.global. Not leaving enough time at the end of the test is not a technical difficulty, you are to plan for the last 10 minutes to upload your work. There is only one attempt on the Week 21 Polygons & Quadrilaterals Exam B. I understand I am to enter my answer for each individual question inside the blank provided. 

To measure the state of a transmon qubit, we make use of the…

To measure the state of a transmon qubit, we make use of the capacitive coupling between the qubit and a resonator captured by the Hamiltonian H=g[σ+a+σ−a†]{“version”:”1.1″,”math”:”\(H = g [\sigma_+ a + \sigma_- a^\dagger]\)”}. Given that the qubit frequency ωq=(2π)5{“version”:”1.1″,”math”:”\(\omega_q = (2\pi)\, 5 \)”} GHz, the resonator frequency ωr=(2π)4{“version”:”1.1″,”math”:”\(\omega_r = (2\pi)\,4 \)”} GHz, and the capacitive coupling g=(2π)10{“version”:”1.1″,”math”:”\(g = (2\pi)\, 10\)”} MHz: Considering the qubit to be in the state |0⟩{“version”:”1.1″,”math”:”\(\vert 0 \rangle\)”}, what is the magnitude of the shift in the resonator’s frequency (assuming ℏ=1{“version”:”1.1″,”math”:”\(\hbar = 1\)”})?