In this paper, we propose a model to describe the geometry of quantum correlations and entanglement through their distinct physical significance in quantum information processing and modern communications. However, geometric discord, using trace, Hilbert–Schmidt distances, and entanglement of formation, is engineered to be a well-defined non-classical correlation measure of an atomic field system. It consists of employing Jaynes–Cummings model to study the interaction between an excited atom at two levels and a single electromagnetic field mode inside an electrodynamic cavity in two cases, namely resonance and non-resonance. In fact, the dynamics of these measures depends decisively on the atom-field initial parameters where, importantly, the field parameters can be specified as control settings to implement an optimal teleportation protocol. The obtained results reveal that the behaviors of teleported geometric quantum discord and entanglement are similar to those displayed for maximum fidelity in terms of fully entanglement fraction. Therefore, since fidelity always exceeds the classical limit, one can design a quantum teleportation scheme with robust fidelity superior to any conventional communication protocol.

中文翻译：

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使用 Jaynes-Cummings 模型设计具有稳健保真度的非经典相关性和隐形传态

在本文中，我们提出了一个模型，通过它们在量子信息处理和现代通信中的独特物理意义来描述量子相关性和纠缠的几何形状。然而，几何不和谐，使用迹线、希尔伯特-施密特距离和形成纠缠，被设计为原子场系统的明确定义的非经典相关性度量。它包括采用 Jaynes-Cummings 模型研究两个能级的激发原子与电动腔内的单个电磁场模式在两种情况下的相互作用，即共振和非共振。事实上，这些措施的动态决定性地取决于原子场初始参数，其中，重要的是，场参数可以指定为控制设置，以实现最佳的隐形传态协议。获得的结果表明，隐形传输的几何量子不和谐和纠缠的行为与完全纠缠分数方面的最大保真度显示的行为相似。因此，由于保真度总是超过经典限制，因此可以设计一种具有优于任何传统通信协议的稳健保真度的量子隐形传态方案。