
Geometric Rényi Divergence and its Applications in Quantum Channel Capacities
We present a systematic study of the geometric Rényi divergence (GRD), a...
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The sumofsquares hierarchy on the sphere, and applications in quantum information theory
We consider the problem of maximizing a homogeneous polynomial on the un...
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Learning dynamic polynomial proofs
Polynomial inequalities lie at the heart of many mathematical discipline...
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On polyhedral approximations of the positive semidefinite cone
Let D be the set of n× n positive semidefinite matrices of trace equal t...
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Adversarial vulnerability for any classifier
Despite achieving impressive and often superhuman performance on multipl...
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A lower bound on the positive semidefinite rank of convex bodies
The positive semidefinite rank of a convex body C is the size of its sma...
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Hamza Fawzi
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