论文标题

衰减和放大高斯通道引起的相干动力学

Coherence dynamics induced by attenuation and amplification Gaussian channels

论文作者

Santos, Jonas F. G., Vieira, C. H. S.

论文摘要

量子高斯通道在量子信息理论中起关键作用。特别是,衰减和放大通道可用于描述对连续变量系统的噪声和反谐效影响。它们与光束分离器和两种模式挤压操作直接相关,这些操作在量子协议中与玻感模型具有操作相关性。这些通道的重要特性是它们是高斯​​完全正图,并且对一般输入状态的作用取决于表征通道的参数。在这项工作中,我们研究了这些渠道在输入高斯州引入的相干动力学。我们根据描述通道的参数来得出相干性的显式表达式。通过假设具有初始连贯性作为输入状态的位移热状态,对于衰减案例,可以观察到连贯性的复兴,这是透射率系数的函数,而对于扩增渠道,相干性取决于增益系数。此外,我们获得了这些类别的操作的熵产生,表明可以通过控制所涉及的参数来减少它。由于两个通道的连贯性,我们编写了一个简单的表达式来计算熵产生。这对于模拟量子热力学中的许多过程可能是有用的,这是在骨器模式下的有限时间驾驶。

Quantum Gaussian channels play a key role in quantum information theory. In particular, the attenuation and amplification channels are useful to describe noise and decoherence effects on continuous variables systems. They are directly associated to the beam splitter and two-mode squeezing operations, which have operational relevance in quantum protocols with bosonic models. An important property of these channels is that they are Gaussian completely positive maps and the action on a general input state depends on the parameters characterizing the channels. In this work, we study the coherence dynamics introduced by these channels on input Gaussian states. We derive explicit expressions for the coherence depending on the parameters describing the channels. By assuming a displaced thermal state with initial coherence as input state, for the attenuation case it is observed a revival of the coherence as a function of the transmissivity coefficient, whereas for the amplification channel the coherence reaches asymptotic values depending on the gain coefficient. Further, we obtain the entropy production for these class of operations, showing that it can be reduced by controlling the parameters involved. We write a simple expression for computing the entropy production due to the coherence for both channels. This can be useful to simulate many processes in quantum thermodynamics, as finite-time driving on bosonic modes.

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