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Efficient error models for fault-tolerant architectures and the Pauli twirling approximation

13 Pith papers cite this work. Polarity classification is still indexing.

13 Pith papers citing it
abstract

The design and optimization of realistic architectures for fault-tolerant quantum computation requires error models that are both reliable and amenable to large-scale classical simulation. Perhaps the simplest and most practical general-purpose method for constructing such an error model is to twirl a given completely positive channel over the Pauli basis, a procedure we refer to as the Pauli twirling approximation (PTA). In this work we test the accuracy of the PTA for a small stabilizer measurement circuit relevant to fault-tolerant quantum computation, in the presence of both intrinsic gate errors and decoherence, and find excellent agreement over a wide range of physical error rates. The combined simplicity and accuracy of the PTA, along with its direct connection to the chi matrix of process tomography, suggests that it be used as a standard reference point for more refined error model constructions.

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2026 13

representative citing papers

Private Rate-Double-Robust Inference

math.ST · 2026-06-18 · unverdicted · novelty 8.0

Local privacy mechanisms preserve rate-double-robustness, enabling unbiased and semiparametrically efficient inference on target parameters indexed linearly by infinite-dimensional and nonlinearly by low-dimensional components from noisy private data.

Symmetries of Pauli Noise from Lindbladian Dynamics

quant-ph · 2026-07-02 · unverdicted · novelty 7.0

Lindbladian perturbation theory reveals approximate symmetries on Pauli fidelities for Clifford gates, with only restricted off-diagonal dissipative errors breaking them at first order, enabling gauge fixing for SPAM identification.

ScoreStop: Gradient-based early stopping using functional score tests

stat.ML · 2026-06-01 · unverdicted · novelty 7.0

ScoreStop introduces a functional score test for early stopping in gradient boosting, testing the null that the current predictor minimizes population risk with a scale-invariant statistic of known asymptotic distribution.

In-Context Positive-Unlabeled Learning

stat.ML · 2026-05-07 · unverdicted · novelty 7.0

PUICL is a transformer pretrained on synthetic PU data from structural causal models that solves positive-unlabeled classification via in-context learning without gradient updates or fitting.

One-step Outcome Imputation: An Alternative to Multiple Imputation

stat.ME · 2026-06-05 · unverdicted · novelty 6.0

A one-step outcome imputation estimator is introduced as an alternative to multiple imputation for RCTs with missing data, constructing an efficient estimator via the influence function to achieve asymptotically valid inference.

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