Coherence limitations of a Fourier-engineered $\cos(2φ)$ transmon qubit

Fuente: arXiv
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Autores principales: Zhurbina, Nataliia K., Singh, Siddharth, Splitthoff, Lukas J., Huang, Eugene Y., Yilmaz, Figen, Bozkurt, A. Mert, Andersen, Christian Kraglund
Formato: Preprint
Publicado: 2026
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author Zhurbina, Nataliia K.
Singh, Siddharth
Splitthoff, Lukas J.
Huang, Eugene Y.
Yilmaz, Figen
Bozkurt, A. Mert
Andersen, Christian Kraglund
author_facet Zhurbina, Nataliia K.
Singh, Siddharth
Splitthoff, Lukas J.
Huang, Eugene Y.
Yilmaz, Figen
Bozkurt, A. Mert
Andersen, Christian Kraglund
contents Intrinsically protected superconducting qubits are a promising route toward enhancing coherence times and advancing hardware towards applications in quantum computing. The $\cos(2φ)$ qubit achieves protection against qubit relaxation by allowing only the coherent tunneling of pairs of Cooper pairs, resulting in Cooper-pair parity symmetry and thereby suppressing charge-induced errors. In this work, we experimentally realize a $\cos(2φ)$ qubit by Fourier engineering the energy-phase relation in a multi-junction superconducting circuit. Using an interference-based architecture, we are able to suppress the odd harmonics of an effective qubit potential and we observe good agreement between the measured transition spectrum and the effective theoretical model. We further investigate the energy relaxation time as a function of external flux and find that the qubit lifetime at the flux symmetry point is limited by $1/f$ flux noise. This strong sensitivity arises from residual fluctuations in the first harmonic, which possesses a large prefactor despite being nominally canceled. In contrast, a fluxonium qubit with a similar energy spectrum and noise amplitude is less affected by flux noise, highlighting a key challenge for interference-based protection schemes.
format Preprint
id arxiv_https___arxiv_org_abs_2605_06372
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Coherence limitations of a Fourier-engineered $\cos(2φ)$ transmon qubit
Zhurbina, Nataliia K.
Singh, Siddharth
Splitthoff, Lukas J.
Huang, Eugene Y.
Yilmaz, Figen
Bozkurt, A. Mert
Andersen, Christian Kraglund
Quantum Physics
Intrinsically protected superconducting qubits are a promising route toward enhancing coherence times and advancing hardware towards applications in quantum computing. The $\cos(2φ)$ qubit achieves protection against qubit relaxation by allowing only the coherent tunneling of pairs of Cooper pairs, resulting in Cooper-pair parity symmetry and thereby suppressing charge-induced errors. In this work, we experimentally realize a $\cos(2φ)$ qubit by Fourier engineering the energy-phase relation in a multi-junction superconducting circuit. Using an interference-based architecture, we are able to suppress the odd harmonics of an effective qubit potential and we observe good agreement between the measured transition spectrum and the effective theoretical model. We further investigate the energy relaxation time as a function of external flux and find that the qubit lifetime at the flux symmetry point is limited by $1/f$ flux noise. This strong sensitivity arises from residual fluctuations in the first harmonic, which possesses a large prefactor despite being nominally canceled. In contrast, a fluxonium qubit with a similar energy spectrum and noise amplitude is less affected by flux noise, highlighting a key challenge for interference-based protection schemes.
title Coherence limitations of a Fourier-engineered $\cos(2φ)$ transmon qubit
topic Quantum Physics
url https://arxiv.org/abs/2605.06372