Quantum

Logical gate set tomography

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Briefings

Logical gate set tomography (logical GST) was applied to the seven-qubit Steane code using Quantinuum System Model H1 to characterize noisy logical operations. The analysis identified predominantly logical Pauli-stochastic errors and found no evidence of logical non-Markovianity, though it detected weak potential signatures of coherent logical error. A key distinction emerged when comparing data from the physical processor H1 against higher-shot datasets generated via Quantinuum's detailed system emulator, which revealed mechanisms for weak but statistically significant logical non-Markovianity and strong evidence of coherent logical error. The study also utilized logical GST for error attribution, showing how specific physical error sources shape logical error mechanisms.

Key points

• Quantinuum System Model H1, a 20-qubit trapped-ion quantum processor, was used to implement the seven-qubit Steane code for logical gate set tomography.
• Logical GST identified predominantly logical Pauli-stochastic errors in the experimental data from H1, with no evidence of logical non-Markovianity detected.

Context and limitations

The analysis relies on experimental data from the seven-qubit Steane code implemented on Quantinuum System Model H1. Results from higher-shot datasets generated with Quantinuum's detailed system emulator are distinct and may differ due to the different data generation methods and system emulation techniques.

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