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QI: Fachverband Quanteninformation

QI 16: Quantum Software

QI 16.6: Vortrag

Donnerstag, 12. März 2026, 11:30–11:45, BEY/0245

Continuous vs. Pauli Noise: Impact on Small-Scale Quantum Codes — •Yunos El Kaderi1,2, Andreas Honecker1, and Iryna Andriyanova21LPTM CNRS UMR 8089, CY Cergy Paris University, France — 2ETIS CNRS UMR 8051, CY Cergy Paris University, France

Noise remains the main limit to reliable quantum computation. Standard Pauli models treat faults as discrete events, but real devices exhibit small, coherent shifts in gate rotations that accumulate over time [1,2]. These shifts follow directional patterns linked to axis and angle drift, which are well described by von Mises–Fisher statistics [3].

We study a continuous coherent-noise model built from these rotational laws and apply it to memory circuits based on the [[5,1,3]] and [[7,1,3]] stabilizer codes. We compare its logical performance with that of a matched-entropy Pauli channel, so both models share the same binary-symmetric uncertainty at readout. This isolates how the shape of noise, not only its strength, affects logical error rates.

We also introduce an approximate method that propagates small coherent errors through Clifford circuits without full Monte Carlo.

[1] S. Sheldon et al., Phys. Rev. A 93, 012301 (2016)

[2] E. Huang et al., Phys. Rev. A 99, 022313 (2019)

[3] G. Ragazzi et al., Phys. Rev. A 110, 052425 (2024)

Keywords: Continuous error models; Quantum error correction; von Mises–Fisher distribution; Pauli noise; Clifford circuits

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