arXivDaily arXiv每日学术速递 周一至周五更新
arXiv quant-ph/0608176quant-ph
收藏

D能级量子系统通过具有关联噪声的量子信道的跃迁

Transition of D- Level Quantum Systems Through Quantum Channels with Correlated Noise

A. Fahmi, M. Golshani

摘要:

纠缠和纠缠辅助是有用的资源,以提高泡利信道的互信息,当连续使用的信道上的噪声有一些偏相关。本文研究了$d$维系统中的量子通信信道,导出了最大纠缠态和相关噪声下的乘积态编码的量子信道的互信息。然后,我们比较这些状态之间的保真度。结果表明,存在一个确定的保真度记忆阈值,它取决于Hilbert空间的维数$(d)$和噪声信道的性质。我们计算了一个特定的相关噪声信道的经典容量,并表明,为了达到Holevo极限,我们必须使用$d$粒子与$d$自由度。我们的结果表明,纠缠是一个有用的手段,以提高互信息。我们选取了一个特殊的非最大纠缠态,证明了在准经典去极化和量子去极化通道中,最大纠缠态给出了高记忆通道中的最大经典容量.因此,我们的研究结果表明,对于高错误信道在每一个度的记忆,最大纠缠态有更好的互信息。

英文摘要:

Entanglement and entanglement-assisted are useful resources to enhance the mutual information of the Pauli channels, when the noise on consecutive uses of the channel has some partial correlations. In this Paper, we study quantum-communication channels in $d$-dimensional systems and derive the mutual information of the quantum channels for maximally entangled states and product states coding with correlated noise. Then, we compare fidelity between these states. Our results show that there exists a certain fidelity memory threshold which depends on the dimension of the Hilbert space $(d)$ and the properties of noisy channels. We calculate the classical capacity of a particular correlated noisy channel and show that in order to achieve Holevo limit, we must use $d$ particles with $d$ degrees of freedom. Our results show that entanglement is a useful means to enhance the mutual information. We choose a special non-maximally entangled state and show that in the quasi-classical depolarizing and quantum depolarizing channels, maximum classical capacity in the higher memory channels is given by the maximally entangled state. Hence, our results show that for high error channels in every degree of memory, maximally entangled states have better mutual information.

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。

↑