On the Power of Quantum Algorithms for Vector Valued Mean Computation

Stefan Heinrich

On the Power of Quantum Algorithms for Vector Valued Mean Computation

量子物理 2007-05-23 v1

作者: Stefan Heinrich

摘要

We study computation of the mean of sequences with values in finite dimensional normed spaces and compare the computational power of classical randomized with that of quantum algorithms for this problem. It turns out that in contrast to the known superiority of quantum algorithms in the scalar case, in high dimensional $L_p^M$ spaces classical randomized algorithms are essentially as powerful as quantum algorithms.

关键词

quantum machine learning quantum computation quantum search algorithms

引用

@article{arxiv.quant-ph/0403109,
  title  = {On the Power of Quantum Algorithms for Vector Valued Mean Computation},
  author = {Stefan Heinrich},
  journal= {arXiv preprint arXiv:quant-ph/0403109},
  year   = {2007}
}

备注

Paper submitted to 'Monte Carlo Methods and Applications', 18 pages

相关论文

查看更多相关论文 →