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

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Main Authors: Marquet, Antoine, Essig, Antoine, Cohen, Joachim, Cottet, Nathanaël, Murani, Anil, Albertinale, Emanuele, Dupouy, Simon, Bienfait, Audrey, Peronnin, Théau, Jezouin, Sébastien, Lescanne, Raphaël, Huard, Benjamin
Format: Preprint
Published: 2023
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author Marquet, Antoine
Essig, Antoine
Cohen, Joachim
Cottet, Nathanaël
Murani, Anil
Albertinale, Emanuele
Dupouy, Simon
Bienfait, Audrey
Peronnin, Théau
Jezouin, Sébastien
Lescanne, Raphaël
Huard, Benjamin
author_facet Marquet, Antoine
Essig, Antoine
Cohen, Joachim
Cottet, Nathanaël
Murani, Anil
Albertinale, Emanuele
Dupouy, Simon
Bienfait, Audrey
Peronnin, Théau
Jezouin, Sébastien
Lescanne, Raphaël
Huard, Benjamin
contents Cat qubits, for which logical $|0\rangle$ and $|1\rangle$ are coherent states $|\pmα\rangle$ 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 $|α|^2$. Large two-photon dissipation rate $κ_2$ 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 $κ_2/2π\approx 2~\mathrm{MHz}$. 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 $|α\rangle$ and $|-α\rangle$ can be arbitrarily changed by driving the harmonic mode while keeping the engineered dissipation active.
format Preprint
id arxiv_https___arxiv_org_abs_2307_06761
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Autoparametric resonance extending the bit-flip time of a cat qubit up to 0.3 s
Marquet, Antoine
Essig, Antoine
Cohen, Joachim
Cottet, Nathanaël
Murani, Anil
Albertinale, Emanuele
Dupouy, Simon
Bienfait, Audrey
Peronnin, Théau
Jezouin, Sébastien
Lescanne, Raphaël
Huard, Benjamin
Quantum Physics
Mesoscale and Nanoscale Physics
Cat qubits, for which logical $|0\rangle$ and $|1\rangle$ are coherent states $|\pmα\rangle$ 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 $|α|^2$. Large two-photon dissipation rate $κ_2$ 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 $κ_2/2π\approx 2~\mathrm{MHz}$. 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 $|α\rangle$ and $|-α\rangle$ can be arbitrarily changed by driving the harmonic mode while keeping the engineered dissipation active.
title Autoparametric resonance extending the bit-flip time of a cat qubit up to 0.3 s
topic Quantum Physics
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2307.06761