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Qubit magic-breaking channels

Quantum Physics 2024-09-09 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2409.04425,
  title  = {Qubit magic-breaking channels},
  author = {Ayan Patra and Rivu Gupta and Alessandro Ferraro and Aditi Sen De},
  journal= {arXiv preprint arXiv:2409.04425},
  year   = {2024}
}

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14 pages