Kavli Affiliate: Birgitta Whaley
| First 5 Authors: Andrea Rodriguez-Blanco, Ho Nam Nguyen, K. Birgitta Whaley, ,
| Summary:
Practical quantum computation heavily relies on the ability to perform
quantum error correction in a fault-tolerant manner. Fault-tolerant encoding is
a critical first step, and careful consideration of the error correction cycle
that follows is essential for ensuring the encoding’s effectiveness and
compatibility. In this work, we investigate various correction-ready encoding
methods to fault-tolerantly prepare the zero-logical state of the [[7,1,3]]
Steane code on a 2D grid. Through numerical simulations, we demonstrate that
parity-check encoding with a few Flag-Bridge qubits outperforms
verification-based encoding by achieving lower error rates and allowing
flexible tuning of the performance-efficiency trade-off. Additionally,
parity-check approach enables a compact hybrid protocol that combines encoding
and error correction, capable of matching the performance of a standalone error
correction protocol with perfect encoding. Surprisingly, compared to the
resource-intensive Steane error correction, this low-overhead method still
offers a practical advantage in noisy settings. These findings highlight the
approach with Flag-Bridge qubits as a robust and adaptable solution for noisy
near-term quantum hardware.
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