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expand PEA description #2537

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@beckykd beckykd commented Jan 2, 2025

closes #2536

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@beckykd beckykd requested a review from jyu00 January 2, 2025 16:40
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beckykd commented Jan 2, 2025

"\n",
"PEA is a more sophisticated technique that performs preliminary experiments to reconstruct the noise and then uses this information to perform an accurate amplification. For utility-scale experiments, it is often the best choice.\n",
"When PEA is specified, the twirled noise model of each layer of entangling gates in the circuit is learned before they are run (see [LayerNoiseLearningOptions](/api/qiskit-ibm-runtime/qiskit_ibm_runtime.options.LayerNoiseLearningOptions) for relevant learning options). After the learning phase, the circuits are executed at each noise factor, where every entangling layer of the circuits is amplified by probabilistically injecting single-qubit noise proportional to the corresponding learned noise model. See the article [\"Evidence for the utility of quantum computing before fault tolerance\"](https://www.nature.com/articles/s41586-023-06096-3) for more details.\n",
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The transitioning from the previous paragraph is a bit weird. I'd add back the previous sentence and say something like

PEA is a more sophisticated technique that performs preliminary experiments to reconstruct the noise and then uses this information to perform an accurate amplification. It starts by learning the twirled noise model of each layer of entangling gates...

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Also this description stops at noise amplification, even though there's still the step of extrapolation. I think it's the same as gate folding ZNE but I'm certainly not the expert lol

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More description on PEA
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