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arXiv 1609.05972quant-ph
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具有衰减和非单位增益的鲁棒高斯隐形传态

Robust Gaussian Teleportation with Attenuations and Non-unity Gain

Alencar J. de Faria

摘要:

计算了一般高斯二分系统的协议,爱丽丝和鲍勃的合作伙伴共享的平均保真度的隐形传态的相干态。认为共享高斯二分模在Alice和Bob处理之前经历独立的衰减。此外,合作伙伴之间的经典通信可以由增益控制,而不一定是单一的。与经典的测量-准备方法的保真度阈值相比,我们建立了几个依赖于增益和局域衰减的真正的量子隐形传态条件。考虑到增益可以被调节以最大化能够进行真正量子隐形传态的二体态集,得到了一个对局域衰减鲁棒的量子隐形传态条件,并证明了该条件与已有的高斯二体纠缠鲁棒性条件是等价的,说明衰减鲁棒性是一种与二体系统的表征和应用相关的纠缠特性.为了得到鲁棒隐形传态条件,深入研究了高斯对二体系统的作用,找到了保持保真度不变的变换,并给出了不同高斯二体系统的几种情形.

英文摘要:

The average fidelity of the teleportation of a coherent state is calculated for general Gaussian bipartite systems shared by the partners of the protocol, Alice and Bob. It is considered that the shared Gaussian bipartite modes suffer independent attenuations before the processing of Alice and Bob. Moreover the classical communication between the partners can be controlled by a gain not necessarily unitary. Comparing with the classical fidelity threshold of measure-and-prepare methods, we establish several genuinely quantum teleportation conditions which depend on the gain and the local attenuations. Considering that the gain can be tuned to maximize the bipartite state set able to genuinely quantum teleportation, a condition for teleportation robust to local attenuations is found. This condition is demonstrated to be essentially equivalent to the condition of robust Gaussian bipartite entanglement, obtained in previous articles, showing that the attenuation robustness is an entanglement property relevant for characterization and application of bipartite systems. For the derivation of the robust teleportation conditions, the Gaussian operations onto the bipartite system are thoroughly studied, so that the transformations that maintain the fidelity invariant are found. Some scenarios for different Gaussian bipartite states are presented and discussed.

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