arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1105.2282quant-ph
收藏

量子信道的平均输出熵

Average output entropy for quantum channels

Christopher King, David K. Moser

备注：
32 pages, several plots and figures; positivity condition added for Theorem on entanglement breaking channels; new result for entrywise positive channels
发表信息：
J. Math. Phys. vol. 52, 112202 (2011)
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

研究了量子信道的正则化平均Renyi输出熵$\bar{S}_{r}^{\reg}$。这个量给出了关于在无限维的极限中由典型的高度纠缠的输入状态引起的信道输出的平均噪声的信息。我们发现了一个封闭的表达式为$β_{r}^{\reg}$，一个数量，我们猜想是等于$\Srreg$。我们找到了一个明确的形式为$β_{r}^{\reg}$的一些纠缠打破通道，也为量子位去极化通道$Δ_λ$作为参数$λ$的函数。我们证明了在某些情况下这两个量相等，特别是我们得出结论，对于$Δ_λ$两者都是变量$λ$的非解析函数。

英文摘要：

We study the regularized average Renyi output entropy $\bar{S}_{r}^{\reg}$ of quantum channels. This quantity gives information about the average noisiness of the channel output arising from a typical, highly entangled input state in the limit of infinite dimensions. We find a closed expression for $β_{r}^{\reg}$, a quantity which we conjecture to be equal to $\Srreg$. We find an explicit form for $β_{r}^{\reg}$ for some entanglement-breaking channels, and also for the qubit depolarizing channel $Δ_λ$ as a function of the parameter $λ$. We prove equality of the two quantities in some cases, in particular we conclude that for $Δ_λ$ both are non-analytic functions of the variable $λ$.

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。

↑