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Tolerant testing of stabilizer states with a polynomial gap via a generalized uncertainty relation (2410.21811v1)
Published 29 Oct 2024 in quant-ph
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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