First improvement in 18 years to the depolarizing channel quantum capacity threshold via symmetry-enhanced coherent information on rank-two symmetric states.
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Proves new degree bounds for fields of rational invariants of finite group representations using Euclidean lattices and Minkowski's geometry of numbers theorem.
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Enhanced quantum capacity thresholds from symmetry
First improvement in 18 years to the depolarizing channel quantum capacity threshold via symmetry-enhanced coherent information on rank-two symmetric states.
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Geometry of numbers and degree bounds for rational invariants
Proves new degree bounds for fields of rational invariants of finite group representations using Euclidean lattices and Minkowski's geometry of numbers theorem.