Proves existence of l1 sparsifier with O(n/ε² log(1/ε)) nonzeros, improving Talagrand's O(n/ε² log n) bound.
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A Gaussian mean width bound in weighted geometry yields a single-letter strong converse for the classical identification capacity of quantum channels, improving known results for depolarizing, Pauli, erasure, and amplitude damping channels.
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Gaussian mean width strong converse bound on the classical identification capacity of quantum channels
A Gaussian mean width bound in weighted geometry yields a single-letter strong converse for the classical identification capacity of quantum channels, improving known results for depolarizing, Pauli, erasure, and amplitude damping channels.