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arXiv · 2410.21811

Tolerant testing of stabilizer states with a polynomial gap via a generalized uncertainty relation

Zongbo Bao·Philippe van Dordrecht·Jonas Helsen
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Abstract

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.

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Zongbo Bao, Philippe van Dordrecht, Jonas Helsen. 2024-10-29. Tolerant testing of stabilizer states with a polynomial gap via a generalized uncertainty relation. https://arxiv.org/abs/2410.21811

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