Anomalous periodicity and parafermion hybridization in superconducting
qubits
- URL: http://arxiv.org/abs/2208.07408v1
- Date: Mon, 15 Aug 2022 19:12:02 GMT
- Title: Anomalous periodicity and parafermion hybridization in superconducting
qubits
- Authors: Alessio Calzona, Matteo Carrega, Luca Chirolli
- Abstract summary: We study a parafermionic fluxonium circuit and show that the presence of topological states yields a striking periodicity in the qubit spectrum.
In addition, peculiar and marked signatures of different parafermion coupling, associated with multiple tunneling of fractional quasiparticles, can be detected in the qubit microwave spectrum.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Topological quantum computation relies on a protected degenerate subspace
enabling complicated operations in a noise-resilient way. To this end, hybrid
platforms based on non-Abelian quasiparticles such as parafermions hold great
promise. These are predicted to emerge at the interface between fractional
quantum Hall states and superconductors and therefore naturally couple to
superconducting qubits. Here, we study a parafermionic fluxonium circuit and
show that the presence of topological states yields a striking periodicity in
the qubit spectrum. In addition, peculiar and marked signatures of different
parafermion coupling, associated with multiple tunneling of fractional
quasiparticles, can be detected in the qubit microwave spectrum. Finite
parafermion coupling can reduce the full degeneracy of the non-Abelian
manifold, and we show that this configuration can be used to assess the
remaining degree of protection of the system.
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