Andreev Level Qubit
A. Zazunov, V.S. Shumeiko, E.N. Bratus', J. Lantz, and G. Wendin

TL;DR
This paper explores the dynamics and control of Andreev bound state qubits in a superconducting quantum circuit, deriving their Hamiltonian and analyzing interactions with flux fluctuations for potential quantum computing applications.
Contribution
It introduces a detailed two-level Hamiltonian for Andreev level qubits and examines their interaction with quantum flux fluctuations, advancing understanding of their manipulation and readout.
Findings
Derived the two-level Hamiltonian for Andreev bound states.
Analyzed the effects of quantum flux fluctuations on qubit dynamics.
Discussed SQUID parameters relevant for qubit operation and readout.
Abstract
We investigate the dynamics of a two-level Andreev bound state system in a transmissive quantum point contact embedded in an rf-SQUID. Coherent coupling of the Andreev levels to the circulating supercurrent allows manipulation and read out of the level states. The two-level Hamiltonian for the Andreev levels is derived, and the effect of interaction with the quantum fluctuations of the induced flux is studied. We also consider an inductive coupling of qubits, and discuss the relevant SQUID parameters for qubit operation and read out.
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