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  • Open Access

Erasure Conversion in Integer Fluxonium Qubits

Jiakai Wang1,*, Raymond A. Mencia2,3, Vladimir E. Manucharyan2,3, and Maxim G. Vavilov1

  • *Contact author: guhhoiwong@gmail.com
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PRX Quantum 7, 020339 – Published 27 May, 2026

DOI: https://doi.org/10.1103/jszm-48h7

Abstract

We propose an erasure conversion scheme on the |e⟩−|f⟩ and |g⟩−|f⟩ qubits in integer fluxonium qubits (IFQs), which are both first-order insensitive to 1/f flux noise. The |e⟩−|f⟩ transition is identical to that of a usual fluxonium qubit and hence is expected to have excellent coherence time, while the |g⟩−|f⟩ transition is additionally protected from the energy relaxation by the parity symmetry. The dominant error in both qubits arises due to the energy relaxation: from |e⟩ to |g⟩ in the e-f qubit and from |f⟩ to |e⟩ in the g-f qubit. Such errors can be treated as erasure events, and their efficient detection improves the performance of quantum error-correcting codes. We consider a protocol for such erasure conversion based on the dispersive readout. Our main finding is that, with proper circuit parameter choice, carefully designed gate sets, and the integration of erasure conversion, IFQs promise highly effective coherence times.

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Popular Summary

Quantum error correction is crucial for building reliable quantum computers, and having information on the space-time location of errors can significantly reduce the required hardware resources. We show that a standard superconducting fluxonium circuit can function as an “erasure qubit” when the second excited state is used to encode the qubit. In certain circuit parameter regimes, the computational subspace can be highly coherent, and the dominant error is the leakage out of the computational subspace. The detection of such leakage can be done using a coupled readout resonator, yet this detection operation does not ruin the quantum information if a leakage event did not happen. Using a single-mode circuit as a superconducting erasure qubit helps simplify the hardware needed for error correction and fault-tolerant quantum computing.

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PRX Quantum 7, 020339– Published 27 May, 2026
  • Received 23 September 2025
  • Revised 4 March 2026
  • Accepted 17 March 2026
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