arXivDaily arXiv每日学术速递 周一至周五更新
arXiv quant-ph/0606064quant-ph
收藏

不同维数量子系统幺正传播子之间的距离

On the distance between unitary propagators of quantum systems of differing dimensions

Robert L. Kosut, Matthew Grace, Constantin Brif, Herschel Rabitz

备注：
8 pages
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

提出了不同维数量子系统的两个幺正传播子之间的距离测度，并给出了相应的计算方法。一个典型的应用是将实际（真实）过程的传播算子与期望（理想）过程的传播算子进行比较;前者的维数比后者高。所提出的测量具有处理可能相关的输入的优点，但是以在整个空间上工作为代价，而不仅仅是通常情况下的信息承载部分，即，不明确涉及部分跟踪操作。它还表明，距离测量和信道保真度的平均测量都取决于相同的矩阵的大小：随着矩阵大小的增加，距离减小，保真度增加。

英文摘要：

A distance measure is presented between two unitary propagators of quantum systems of differing dimensions along with a corresponding method of computation. A typical application is to compare the propagator of the actual (real) process with the propagator of the desired (ideal) process; the former being of a higher dimension then the latter. The proposed measure has the advantage of dealing with possibly correlated inputs, but at the expense of working on the whole space and not just the information bearing part as is usually the case, i.e., no partial trace operation is explicitly involved. It is also shown that the distance measure and an average measure of channel fidelity both depend on the size of the same matrix: as the matrix size increases, distance decreases and fidelity increases.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑