Witnessing Magic with Bell inequalities

Non-stabilizerness, or magic, is a fundamental resource for quantum computation, enabling quantum algorithms to surpass classical capabilities. Despite its importance, characterizing magic remains challenging due to the intricate geometry of stabilizer polytopes and the difficulty of simulating non-stabilizer states. In this work, we reveal an unexpected connection between magic and Bell inequalities. Although maximally entangled stabilizer states can violate Bell inequalities and magic is deeply tied to the algebraic structure of observables, we show that tailored Bell inequalities can act as witnesses of magic. This result bridges two key quantum resources, uncovering a novel relationship between the device-independent framework and resource-theoretic properties of quantum computation.

Publication Details

Journal
ArXiv.org
Published
2025-03-24
Primary Topic
Quantum Computing Algorithms and Architecture
Type
article
Field-Weighted Citation Impact
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article

Witnessing Magic with Bell inequalities

ArXiv.org
Quantum Computing Algorithms and Architecture
article

Witnessing Magic with Bell inequalities

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Abstract

Non-stabilizerness, or magic, is a fundamental resource for quantum computation, enabling quantum algorithms to surpass classical capabilities. Despite its importance, characterizing magic remains challenging due to the intricate geometry of stabilizer polytopes and the difficulty of simulating non-stabilizer states. In this work, we reveal an unexpected connection between magic and Bell inequalities. Although maximally entangled stabilizer states can violate Bell inequalities and magic is deeply tied to the algebraic structure of observables, we show that tailored Bell inequalities can act as witnesses of magic. This result bridges two key quantum resources, uncovering a novel relationship between the device-independent framework and resource-theoretic properties of quantum computation.

ArXiv.org
Openalex Percentile: Top 73%
Quantum Computing Algorithms and Architecture
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Witnessing Magic with Bell inequalities · ArXiv.org (2025) | TGRS Research Map | TGRS