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Ben Lee Volk

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  • ITCS2 editions2021–2022

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Lower Bounds on Stabilizer RankITCS 20222022-01-31
Proves a concrete barrier for Clifford+T simulation by showing the stabilizer rank of the n-fold magic state is linear Ω(n) (n/100) and the approximate rank is…
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A Polynomial Degree Bound on Equations for Non-rigid Matrices and Small Linear CircuitsITCS 20212021-01-06
Paper proves an explicit existential bound: for non-rigid n-by-n matrices with parameters εn and εn^2 there exists an equation of degree O(n^3) vanishing on…
Talk
Structure of the Fourier Spectrum of Boolean Functions and ComplexityNeo-Classical Methods in Discrete Analysis 20132013-12-02
Claim: Boolean f with small spectral norm (L1 ≤ M) decomposes as a ± sum of indicators of affine subspaces (Green–Sanders), with number of terms bounded by a…
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