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The Benchmark Decay Separates Two Kinds of Error
Pauli-stochastic rates enter linearly while Hamiltonian errors appear through a gauge-invariant quadratic form.
Summary
Pauli-stochastic rates enter linearly while Hamiltonian errors appear through a gauge-invariant quadratic form.
For low-error gate sets forming an asymptotic unitary two-design, the paper expands randomized-benchmarking decay into interpretable error-generator terms. It derives an explicit form for a common single-qubit gate set and explains sampling and compilation dependence. The perturbative result assumes small gate-local Markovian noise.
Why it matters
Pauli-stochastic rates enter linearly while Hamiltonian errors appear through a gauge-invariant quadratic form.
Limits and context
No additional limitation was separately recorded.
Key claims
Pauli-stochastic rates enter linearly while Hamiltonian errors appear through a gauge-invariant quadratic form.
Evidence: source-2026-10-25-019
Sources
- arXiv preprint 2610.31500, original v1arXiv · primary research
Corrections
No corrections have been recorded for this story.