Qubit magic-breaking channels
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
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| _version_ | 1866913493010087936 |
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| author | Patra, Ayan Gupta, Rivu Ferraro, Alessandro De, Aditi Sen |
| author_facet | Patra, Ayan Gupta, Rivu Ferraro, Alessandro De, Aditi Sen |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04425 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Qubit magic-breaking channels Patra, Ayan Gupta, Rivu Ferraro, Alessandro De, Aditi Sen Quantum Physics 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. |
| title | Qubit magic-breaking channels |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2409.04425 |