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The Error Check Grew Beyond Two Levels
Generalized Pauli checks mapped higher-dimensional errors to ancilla readouts and exceeded 97.5 percent mitigated fidelity in numerical tests.
Summary
Generalized Pauli checks mapped higher-dimensional errors to ancilla readouts and exceeded 97.5 percent mitigated fidelity in numerical tests.
The proposed check pairs extend Pauli Check Sandwiching from qubits to arbitrary-dimensional qudits with Heisenberg-Weyl operators. The authors prove that each modeled error maps to a distinct ancilla readout and validate the construction from dimension two through nine, reporting error-mitigated fidelities above 97.5 percent under simulated depolarizing noise. Hardware overhead and real-device behavior remain open engineering questions.
Why it matters
Generalized Pauli checks mapped higher-dimensional errors to ancilla readouts and exceeded 97.5 percent mitigated fidelity in numerical tests.
Limits and context
- Hardware overhead and real-device behavior remain open engineering questions.
Key claims
Generalized Pauli checks mapped higher-dimensional errors to ancilla readouts and exceeded 97.5 percent mitigated fidelity in numerical tests.
Qualification: Hardware overhead and real-device behavior remain open engineering questions.
Evidence: source-2026-08-20-004
Sources
- arXiv preprint 2608.18332arXiv · primary research
Corrections
No corrections have been recorded for this story.