Colored Kerr cat qubits

Kavli Affiliate: Oskar Painter

| First 5 Authors: Harald Putterman, Joseph Iverson, Qian Xu, Liang Jiang, Oskar Painter

| Summary:

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.

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