Abstract
In analogy to the cavity QED in quantum optics, the field of circuit QED deals with the study of light and matter interaction on the superconducting chip. In the place of natural atoms and optical laser as in cavity QED, we have artificial atoms and microwave photons propagating on the two-dimensional chip. As this thesis focuses on quantum computation with superconducting qubits, we will briefly look into some basics of the superconducting circuits here.
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—Leo Tolstoy
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Notes
- 1.
Throughout the thesis, it is understood that a variable with a hat on it such as \((\hat{\mathcal {O}})\) represents a quantum operator.
- 2.
\(\hbar \approx 1.054\times 10^{-34}\) Joule-second.
- 3.
The main advantages of various multi-Josephson junctions SQUID constructions are that they are much more compact in size and significantly reduce flux noise. In fact, quantum coherence was demonstrated experimentally first in a SQUID with a single \(E_J\)-tunable junction [17].
- 4.
We recall that the node phase and node flux are related by the relation \(\varphi =\frac{2e}{\hbar }\Phi \) mod \(2\pi \).
- 5.
The potential minima, enclosed by the white dashed box, repeat in period \(2\pi \). Each box is considered one cell.
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Kyaw, T.H. (2019). Basics of Superconducting Circuits Architecture. In: Towards a Scalable Quantum Computing Platform in the Ultrastrong Coupling Regime. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-19658-5_2
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