The quartic Blochnium: an anharmonic quasicharge superconducting qubit

Luca Chirolli1, Matteo Carrega2, and Francesco Giazotto1

1NEST Istituto Nanoscienze-CNR and Scuola Normale Superiore, I-56127 Pisa, Italy
2CNR-Spin, Via Dodecaneso 33, I-16146 Genova

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The quasicharge superconducting qubit realizes the dual of the transmon and shows strong robustness to flux and charge fluctuations thanks to a very large inductance closed on a Josephson junction. At the same time, a weak anharmonicity of the spectrum is inherited from the parent transmon, that introduces leakage errors and is prone to frequency crowding in multi-qubit setups. We propose a novel design that employs a quartic superinductor and confers a good degree of anharmonicity to the spectrum. The quartic regime is achieved through a properly designed chain of Josephson junction loops that shows minimal quantum fluctuations without introducing a severe dependence on the external fluxes.

In a quantum chips hosting many qubits it is important to control each qubit independently with high fidelity and qubits that manifest a weakly anharmonic spectrum suffer from leakage errors and are prone to frequency crowding in multi-qubit setups. We propose a novel design that employs a quartic superinductor engineered on purpose through a chain of Josephson junction loops. The system also implements a Hamiltonian $H=p^4-\cos(x)$, that realizes a quantum quartic pendulum.

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Cited by

[1] Sasu Tuohino, Vasilii Vadimov, Wallace S. Teixeira, Tommi Malmelin, Matti Silveri, and Mikko Möttönen, "Multimode physics of the unimon circuit", arXiv:2309.09732, (2023).

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