Autoparametric resonance extending the bit-flip time of a cat qubit up to 0.3 s

TL;DR

This paper demonstrates an autoparametric superconducting circuit that significantly extends the bit-flip time of a cat qubit to 0.3 seconds by leveraging strong two-photon dissipation without requiring a parametric pump.

Contribution

It introduces a passive, autoparametric coupling scheme for cat qubits that achieves high two-photon dissipation rates, enhancing qubit stability and control without complex pumping.

Findings

Bit-flip errors are suppressed for up to 0.3 seconds.

Strong two-photon dissipation is achieved at approximately 2 MHz.

Phase of superpositions can be arbitrarily manipulated while maintaining dissipation.

Abstract

Cat qubits, for which logical $|0\rangle$ and $|1\rangle$ are coherent states $|\pm\alpha\rangle$ of a harmonic mode, offer a promising route towards quantum error correction. Using dissipation to our advantage so that photon pairs of the harmonic mode are exchanged with single photons of its environment, it is possible to stabilize the logical states and exponentially increase the bit-flip time of the cat qubit with the photon number $|\alpha|^2$. Large two-photon dissipation rate $\kappa_2$ ensures fast qubit manipulation and short error correction cycles, which are instrumental to correct the remaining phase-flip errors in a repetition code of cat qubits. Here we introduce and operate an autoparametric superconducting circuit that couples a mode containing the cat qubit to a lossy mode whose frequency is set at twice that of the cat mode. This passive coupling does not require a parametric pump and reaches a rate $\kappa_2/2\pi\approx 2~\mathrm{MHz}$. With such a strong two-photon dissipation, bit-flip errors of the autoparametric cat qubit are prevented for a characteristic time up to 0.3~s with only a mild impact on phase-flip errors. Besides, we illustrate how the phase of a quantum superposition between $|\alpha\rangle$ and $|-\alpha\rangle$ can be arbitrarily changed by driving the harmonic mode while keeping the engineered dissipation active.