Kerr-cat Qubit Operations Below the Fault-tolerant Threshold

Kavli Affiliate: Irfan Siddiqi

| First 5 Authors: Bingcheng Qing, Ahmed Hajr, Ke Wang, Gerwin Koolstra, Long B. Nguyen

| Summary:

The ubiquitous noise in quantum system hinders the advancement of quantum
information processing and has driven the emergence of different quantum error
correction protocols. Among them, quantum error correction codes tailored for
noise-biased qubits exhibit comparatively high error thresholds, making them a
promising platform to achieve fault-tolerance. Nevertheless, their quantum
operations are challenging and the demonstration of their performance beyond
the fault-tolerant threshold remains incomplete. Here, we leverage
Schr"odinger cat states in scalable planar superconducting circuits to
thoroughly characterize the high-fidelity single-qubit quantum operations on
noise-biased qubits with systematic quantum tomography and benchmarking tools,
demonstrating their state-of-the-art performance beyond the fault-tolerant
threshold of the surface code. These results thus embody a transformative
milestone in the exploration of quantum systems with structured noises.
Notably, our framework is extensible to other structured-noise systems, paving
the way for systematic characterization and validation of novel quantum
platforms with structured noise.

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