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Qubit magic-breaking channels

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arxiv 2409.04425 v1 pith:KORTZGCH submitted 2024-09-06 quant-ph

classification quant-ph
keywords channelsmagic-breakingqubitcriteriaestablishmagicnecessaryquantum
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We develop a notion of quantum channels that can make states useless for universal quantum computation by destroying their magic (non-stabilizerness) - we refer to them as magic-breaking channels. We establish the properties of these channels in arbitrary dimensions. We prove the necessary and sufficient criteria for qubit channels to be magic-breaking and present an algorithm for determining the same. Moreover, we provide compact criteria in terms of the parameters for several classes of qubit channels to be magic-breaking under various post-processing operations. Further, we investigate the necessary and sufficient conditions for the tensor product of multiple qubit channels to be magic-breaking. We establish implications of the same for the dynamical resource theory of magic preservability.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Certifying the dimensionality of any quantum channel with minimal assumptions

    quant-ph 2025-11 reject novelty 7.0 of 10

    Any non-k-Schmidt-number-breaking quantum channel can, in principle, be certified via a semiquantum signaling game using only trusted inputs.

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