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arXiv 1003.2087quant-phcond-mat.othernlin.CD
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混沌在动态失相通道量子通信中的作用

The role of chaos in quantum communication through a dynamical dephasing channel

Gabriela Barreto Lemos, Giuliano Benenti

摘要:

在这篇文章中,我们处理的问题,在量子通信中的几个自由度的混沌环境,通过研究一个保守的动力学映射作为一个模型的失相量子信道。当通道的动力学是混沌的,我们调查模型的半经典极限,并表明熵交换增长在一个恒定的速度,这取决于一个单一的参数(相互作用强度),类似于随机模型的退相通道。我们分析了记忆效应的通道,并提出了强有力的物理参数,以支持本模型是健忘的混沌政权,而记忆效应一般不能被忽视时,通道动态是定期的。为了使非混沌信道健忘,有必要对信道应用重置,并且该重置可以通过应用混沌映射来有效地建模。然后,我们可以参考编码定理(在健忘信道的情况下有效),以呈现由于环境从规则到混沌动态的转变而从无噪声到有噪声信道的转变的证据。

英文摘要:

In this article we treat the subject of chaotic environments with few degrees of freedom in quantum communication by investigating a conservative dynamical map as a model of a dephasing quantum channel. When the channel's dynamics is chaotic, we investigate the model's semi-classical limit and show that the entropy exchange grows at a constant rate which depends on a single parameter (the interaction strength), analogous to stochastic models of dephasing channels. We analyze memory effects in the channel and present strong physical arguments to support that the present model is forgetful in the chaotic regime while memory effects in general cannot be ignored when channel dynamics is regular. In order to render the non-chaotic channel forgetful, it becomes necessary to apply a reset to the channel and this reset can efficiently be modeled by application of a chaotic map. We may then refer to encoding theorems (valid in the case of forgetful channels) to present evidence of a transition from noiseless to noisy channel due to the environment's transition from regular to chaotic dynamics.

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。

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