Witnessing Magic with Bell inequalities

2025/03/24 by Rafael A. Macedo, Macedo, Rafael A., Patrick Andriolo +7 · 1 voice · 3 citations
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.2503.18734

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.

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Discussions

• 🪄Do you believe in magic? In this enchanting preprint, new PhD student Patrick conjures up a proof that Bell Inequalities can witness an arcane quantum computing resource called non-stabilizerness, a [bsky, 3 points, 0 comments]

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