中文

利用单个纯量子比特与 $log N$ 个混合量子比特实现高效因数分解

量子物理 2009-11-06 v3

摘要

人们通常认为,Shor 用于大数 NN 高效因数分解的量子算法需要一个纯初态。在此我们证明,单个纯量子比特加上一组处于任意混合态的 log2Nlog_2 N 个量子比特,就足以高效实现 Shor 的因数分解算法。

关键词

引用

@article{arxiv.quant-ph/0001066,
  title  = {Efficient factorization with a single pure qubit and $log N$ mixed qubits},
  author = {S. Parker and M. B. Plenio},
  journal= {arXiv preprint arXiv:quant-ph/0001066},
  year   = {2009}
}

备注

5 pages including 2 figures. Final version submitted to PRL. Now includes additional comments on entanglement and mixedness as algorithm proceeds. Added references to work by Mosca