Tolerant testing of stabilizer states with a polynomial gap via a generalized uncertainty relation
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866918124108906496 |
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| author | Bao, Zongbo van Dordrecht, Philippe Helsen, Jonas |
| author_facet | Bao, Zongbo van Dordrecht, Philippe Helsen, Jonas |
| contents | We prove a conjecture of Arunachalam & Dutt ([AD24]) on the existence of a tolerant stabilizer testing algorithm, and achieve an exponential improvement in the parameters of the tester. Key to our argument is a generalized uncertainty relation for sets of Pauli operators, based on the Lovasz theta function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21811 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tolerant testing of stabilizer states with a polynomial gap via a generalized uncertainty relation Bao, Zongbo van Dordrecht, Philippe Helsen, Jonas Quantum Physics We prove a conjecture of Arunachalam & Dutt ([AD24]) on the existence of a tolerant stabilizer testing algorithm, and achieve an exponential improvement in the parameters of the tester. Key to our argument is a generalized uncertainty relation for sets of Pauli operators, based on the Lovasz theta function. |
| title | Tolerant testing of stabilizer states with a polynomial gap via a generalized uncertainty relation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2410.21811 |