Regensburg 2022 – scientific programme

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QI: Fachverband Quanteninformation

QI 13: Implementations: Superconducting Qubits

QI 13.4: Talk

Friday, September 9, 2022, 10:30–10:45, H8

Majorana fermions revealing the true nature of quantum phase slip junctions — •Christina Koliofoti and Roman-Pascal Riwar — Forschungszentrum Jülich, Peter Grünberg Institut (PGI-2), 52425 Jülich, Deutschland

Quantum circuit theory is a powerful and ever-evolving tool to predict the dynamics of superconducting circuits. In its language, quantum phase slips are famously considered to be the exact dual to the Josephson effect. However, if taken at face value, this duality stipulates that charge must be continuous. We propose a charge-quantization conserving description of quantum phase slips and show that this seemingly minute change gives rise to some very different predictions. When shunting a quantum phase slip junction with a topological Josephson junction, the new description leads to a complete dissappearance of the Hofstadter butterfly spectrum. For topologically trivial circuits we argue that adhering to charge quantization renders realizations of the Gottesman-Kitaev-Preskill code impossible.