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April 17, 20260 citationsOpen Access

A Practitioner's Gate-Calibration Toolkit: From Cramér–Rao Bounds to Logit-Gate Decisions in Noisy Quantum Systems (Paper VII/VII)

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FZFabio Luigi Zander

Key Points

  • The research aims to develop a comprehensive toolkit for calibrating gates in noisy quantum environments.
  • Implemented a five-stage gate-calibration pipeline.
  • Stage 1 utilized Cramér–Rao bounds for precision assessment.
  • Applied AR(1) signal conditioning with Kalman filtering.
  • Evaluated coherence through four specific metrics.
  • Developed a universal Logit-Gate for two-parameter calibration.
  • Successfully established a reliable calibration method for noisy quantum systems.
  • Demonstrated improved precision in gate operations using the proposed toolkit.
  • Included practical examples and default parameter tables supporting implementation.

Abstract

Self-contained, deployable five-stage gate-calibration pipeline for noisy quantum systems Stage 1: Cramér–Rao precision floor with Heisenberg-Gate constraint. Stage 2: AR(1) signal conditioning with Kalman filtering and Huber-robust outlier rejection. Stage 3: four coherence metrics (HBT, relative entropy, percent-coherence, absolute normalized). Stage 4: universal Logit-Gate with closed-form two-parameter calibration (x₅₀, slope s). Stage 5: BKW drift surveillance with traffic-light alerting. Includes worked transmon readout example, default parameter table, gate-composition protocol, and time-crystal scheduling. Platform-agnostic. Paper VII of VII — engineering capstone of the Δ-Gate series. Part of the Δ-Gate Formalism (DOI: 10.5281/zenodo.19103765).

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Cite This Study

Fabio Luigi Zander (2026) studied this question.

synapsesocial.com/papers/69e1cfb15cdc762e9d858b44https://doi.org/10.5281/zenodo.19598669
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