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Main Authors: Ahmed, Ejaz, Ye, Boshuai, Shah, Syed Hamza, Akbar, Muhammad Azeem, Khan, Arif Ali
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2604.26430
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author Ahmed, Ejaz
Ye, Boshuai
Shah, Syed Hamza
Akbar, Muhammad Azeem
Khan, Arif Ali
author_facet Ahmed, Ejaz
Ye, Boshuai
Shah, Syed Hamza
Akbar, Muhammad Azeem
Khan, Arif Ali
contents Ensuring the integrity of quantum circuits is a significant challenge in the Noisy Intermediate-Scale Quantum (NISQ) era, where circuits are subject to compilation transformations, hardware constraints, and potential adversarial modifications. Existing validation approaches typically rely on either structural analysis or behavioral evaluation, leading to incomplete assessment of circuit correctness. In this work, we investigate the relationship between structural, interaction-level, and behavioral perspectives of circuit integrity, demonstrating that a single aspect of integrity is insufficient to guarantee circuit integrity; structural similarity alone does not ensure behavioral equivalence. To address this problem, we use a three-layer metric framework that combines the Structural Integrity Score (SIS), the Operational Integrity Score (OIS), and the Interaction Graph Semantic-Logical Score (IGS). SIS captures global structural properties, OIS quantifies behavioral divergence using Jensen-Shannon distance, and IGS models interaction patterns and dependencies in a pre-execution setting. Through controlled anomaly injection on benchmark quantum circuits, we demonstrate that each metric captures a different aspect of circuit deviation. In particular, structural blind-spot cases (SIS >= 0.95) reveal a clear limitation of structural analysis, where OIS detects anomalies in 93.85% of instances, while IGS detects 72.58%. These results highlight that the metrics provide complementary insights and that a single metric is insufficient for reliable circuit validation.
format Preprint
id arxiv_https___arxiv_org_abs_2604_26430
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Multi-Level Integrity Evaluation Framework for Quantum Circuits under Controlled Anomaly Injection
Ahmed, Ejaz
Ye, Boshuai
Shah, Syed Hamza
Akbar, Muhammad Azeem
Khan, Arif Ali
Quantum Physics
Cryptography and Security
Ensuring the integrity of quantum circuits is a significant challenge in the Noisy Intermediate-Scale Quantum (NISQ) era, where circuits are subject to compilation transformations, hardware constraints, and potential adversarial modifications. Existing validation approaches typically rely on either structural analysis or behavioral evaluation, leading to incomplete assessment of circuit correctness. In this work, we investigate the relationship between structural, interaction-level, and behavioral perspectives of circuit integrity, demonstrating that a single aspect of integrity is insufficient to guarantee circuit integrity; structural similarity alone does not ensure behavioral equivalence. To address this problem, we use a three-layer metric framework that combines the Structural Integrity Score (SIS), the Operational Integrity Score (OIS), and the Interaction Graph Semantic-Logical Score (IGS). SIS captures global structural properties, OIS quantifies behavioral divergence using Jensen-Shannon distance, and IGS models interaction patterns and dependencies in a pre-execution setting. Through controlled anomaly injection on benchmark quantum circuits, we demonstrate that each metric captures a different aspect of circuit deviation. In particular, structural blind-spot cases (SIS >= 0.95) reveal a clear limitation of structural analysis, where OIS detects anomalies in 93.85% of instances, while IGS detects 72.58%. These results highlight that the metrics provide complementary insights and that a single metric is insufficient for reliable circuit validation.
title A Multi-Level Integrity Evaluation Framework for Quantum Circuits under Controlled Anomaly Injection
topic Quantum Physics
Cryptography and Security
url https://arxiv.org/abs/2604.26430