Anomalous Curve-Shape Deviation in Singlet Bell Measurements on IBM Superconducting Qubits

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Authors: Ivan Zakharchanka
Cited by: 0

Abstract

We report an anomalous deviation from the quantum mechanical singlet correlation curve in full angle-sweep Bell measurements on two IBM superconducting quantum processors (ibm_fez and ibm_marrakesh). With Alice fixed along Z and Bob sweeping Ry(δ) from 0° to 180°, the disagreement probability P_disagree(δ) deviates from the predicted cos²(δ/2) in a way that cannot be explained by uniform depolarizing noise: the 50% crossover point shifts below 90°. Fitting a two-parameter deformation model yields a crossover-shift parameter α = 0.470 ± 0.003 on ibm_marrakesh after readout correction, compared to the quantum prediction α = 0.5. The quantum model with a free visibility parameter gives χ²/dof = 4.83; the deformation model gives χ²/dof = 1.41, a Δχ² = 124.5 improvement for one additional degree of freedom (p < 10⁻²⁸, likelihood ratio test). The deviation is consistent across two physically independent chips. We systematically investigate five candidate instrumental explanations—readout asymmetry, Ry gate calibration offset, T2 thermal decoherence, angle-dependent gate duration variation, and qubit-qubit crosstalk—and find each insufficient through dedicated experiments or analytical arguments. The anomaly is currently unexplained by standard NISQ noise mechanisms and warrants independent replication on different hardware platforms.

Fields of Study & Subjects

Quantum Information and Cryptography Quantum Mechanics and Applications Quantum Computing Algorithms and Architecture

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
11 March 2026
Language
EN
Document type
Preprint