Quantum Lower Bounds by Entropy Numbers

Details Quantum Lower Bounds by Entropy Numbers Quantum Lower Bounds by Entropy Numbers

2006-11-30

arxiv.org/abs/quant-ph/0611294v1

Physics

Quantum Physics

Submitted to J. Complexity

Scientific paper

We use entropy numbers in combination with the polynomial method to derive a
new general lower bound for the n-th minimal error in the quantum setting of
information-based complexity. As an application, we improve some lower bounds
on quantum approximation of embeddings between finite dimensional L_p spaces
and of Sobolev embeddings.

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