New techniques for bounding stabilizer rank

نویسندگان

چکیده

In this work, we present number-theoretic and algebraic-geometric techniques for bounding the stabilizer rank of quantum states. First, refine a theorem Moulton to exhibit an explicit sequence product states with exponential but constant approximate rank, provide alternate (and simplified) proofs best-known asymptotic lower bounds on up log factor. Second, find first non-trivial examples multiplicative under tensor product. Third, introduce study generic using techniques.

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ژورنال

عنوان ژورنال: Quantum

سال: 2022

ISSN: ['2521-327X']

DOI: https://doi.org/10.22331/q-2022-04-20-692