关于用高斯操作蒸馏高斯态的不可能性
量子物理
2009-11-07 v4
摘要
我们证明不存在如下的高斯量子态蒸馏协议:其依赖于 (i) 保持态的高斯特性的任意局域酉操作,以及 (ii) 零差探测连同经典通信以及通过对两份对称且相同制备的副本进行局域高斯酉操作的后处理。这与有限维情况形成对比,在有限维中纠缠可通过每次使用两份副本的迭代协议来蒸馏。我们将概述其对大距离分布高斯态的影响。我们也评论了该方法的普遍性,并勾勒出双体设定下带经典通信的高斯局域操作的最一般形式。
引用
@article{arxiv.quant-ph/0204052,
title = {On the impossibility of distilling Gaussian states with Gaussian operations},
author = {J. Eisert and S. Scheel and M. B. Plenio},
journal= {arXiv preprint arXiv:quant-ph/0204052},
year = {2009}
}
备注
4 pages, 1 colour figure. This paper is closely related to [J. Fiurasek, PRL 89, 137904 (2002), quant-ph/0204069] and to [G. Giedke and J.I. Cirac, PRA 66, 032316 (2002), quant-ph/0204085]. In particular, the latter paper arrives with independent methods at the general result that distillation is not possible for an arbitrary number of input copies and general Gaussian operations. The title of our contribution in its printed version has been changed by the editors of Physical Review Letters