For every Boolean f, bounded-error quantum and classical deterministic communication complexity of f ∘ AND₂ are polynomially related up to polylog n, both characterized by log of De Morgan sparsity of f.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Defines rank-bounded rotation distance, reduces general rotation distance to it in polynomial time, and gives O(n^2) algorithm plus quadratic upper bound for skew trees.
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Quantum-Classical Equivalence for AND-Functions
For every Boolean f, bounded-error quantum and classical deterministic communication complexity of f ∘ AND₂ are polynomially related up to polylog n, both characterized by log of De Morgan sparsity of f.
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On Rotation Distance of Rank Bounded Trees
Defines rank-bounded rotation distance, reduces general rotation distance to it in polynomial time, and gives O(n^2) algorithm plus quadratic upper bound for skew trees.