# The aBc Problem and Equator Sampling Renyi Divergences

@article{Klauck2019TheAP, title={The aBc Problem and Equator Sampling Renyi Divergences}, author={Hartmut Klauck and Debbie Lim}, journal={ArXiv}, year={2019}, volume={abs/1912.11275} }

We investigate the problem of approximating the product $a^TBc$, where $a,c\in S^{n-1}$ and $B\in O_n$, in models of communication complexity and streaming algorithms. The worst meaningful approximation is to simply decide whether the product is 1 or -1, given the promise that it is either. We call that problem the aBc problem. This is a modification of computing approximate inner products, by allowing a basis change. While very efficient streaming algorithms and one-way communication protocols… CONTINUE READING

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SHOWING 1-10 OF 14 REFERENCES

## The Complexity of Quantum Disjointness

VIEW 2 EXCERPTS

## The Power of One Clean Qubit in Communication Complexity

VIEW 2 EXCERPTS

## Rényi Divergence and Kullback-Leibler Divergence

VIEW 2 EXCERPTS

## The Space Complexity of Approximating the Frequency Moments

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## Quantum One-Way Communication is Exponentially Stronger Than Classical Communication

VIEW 11 EXCERPTS

HIGHLY INFLUENTIAL