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A Sum-of-Squares Hierarchy with Quadratic Convergence for Quantum Channel Coding

Ta, Hoang et al.
arXiv (All) · Papers
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information-theoryoptimization-and-controlquantum-physics
Computing the optimal success probability for transmitting classical messages through a single use of a quantum channel is NP-hard, even for two messages. An existing semidefinite programming hierarchy based on symmetric extensions provides convergent upper bounds with an a priori error estimate tha
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