Corpus ID: 236428900

On relating one-way classical and quantum communication complexities

@article{Boddu2021OnRO,
  title={On relating one-way classical and quantum communication complexities},
  author={Naresh Goud Boddu and Rahul Jain and Han-Hsuan Lin},
  journal={ArXiv},
  year={2021},
  volume={abs/2107.11623}
}
Let f : X × Y → {0, 1,⊥} be a partial function and μ be a distribution with support contained in f(0)∪f(1). Let D ǫ (f) be the classical one-way communication complexity of f with average error under μ at most ǫ, Q ǫ (f) be the quantum one-way communication complexity of f with average error under μ at most ǫ and Q ǫ (f) be the entanglement assisted one-way communication complexity of f with average error under μ at most ǫ. We show: 1. If μ is a product distribution, then ∀ǫ, η > 0, D 1,μ 2… Expand

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