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Colored Kerr cat qubits

Putterman, Harald and Iverson, Joseph K. and Xu, Qian and Jiang, Liang and Painter, Oskar and Brandão, Fernando G. S. L. and Noh, Kyungjoo (2021) Colored Kerr cat qubits. . (Unpublished)

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Biased-noise qubits are a promising candidate for realizing hardware efficient fault-tolerant quantum computing. One promising biased-noise qubit is the Kerr cat qubit, which has recently been demonstrated experimentally. Despite various unique advantages of Kerr cat qubits, we explain how the noise bias of Kerr cat qubits is severely limited by heating-induced leakage in their current implementations. Then, we show that by adding frequency-selective single-photon loss to Kerr cat qubits we can counteract the leakage and thus recover much of their noise bias. We refer to such Kerr cat qubits combined with frequency-selective single-photon loss as colored Kerr cat qubits as they are protected by a colored dissipation. In particular, we show how a suitably engineered lossy environment can suppress the leakage and bit-flip errors of a Kerr cat qubit while not introducing any additional phase-flip errors. Since our scheme only requires single-photon loss, it can be readily implemented by using passive and linear elements. Moreover, our frequency-selectivity technique can be generally applied to energy-gap protected qubits whose computational basis states are given by near degenerate ground states of a Hamiltonian with a non-zero energy gap between the ground and excited state manifolds.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Iverson, Joseph K.0000-0003-4665-8839
Jiang, Liang0000-0002-0000-9342
Painter, Oskar0000-0002-1581-9209
Brandão, Fernando G. S. L.0000-0003-3866-9378
Noh, Kyungjoo0000-0002-6318-8472
Additional Information:We thank Arne L. Grimsmo, Matthew Matheny, and Gil Refael for useful comments on the manuscript.
Group:AWS Center for Quantum Computing, Institute for Quantum Information and Matter
Record Number:CaltechAUTHORS:20210922-210830647
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:111013
Deposited By: Joy Painter
Deposited On:23 Sep 2021 15:25
Last Modified:23 Sep 2021 15:25

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