论文标题

评估使用忠诚度波动的嘈杂传送的性能

Rating the performance of noisy teleportation using fluctuations in fidelity

论文作者

Roy, Saptarshi, Ghosal, Arkaprabha

论文摘要

量子传送是量子世界中最开创性的特征之一。通常,传送协议的质量仅根据其平均保真度来判断。在这项工作中,我们根据忠诚度和忠诚度的偏差分析了传送的性能。具体而言,我们定义了一个称为可伸缩性得分的数量,该数量包括忠诚度及其偏差的贡献。它还考虑到一个协议所需的灵敏度,在该方案中,在一个或多个中间步骤中需要量子状态的传送。我们在噪音的场景中计算可伸缩性得分,并发现它随资源状态的纠缠含量而单调增加。即使我们考虑使用N链中继器样配置,结果也保持不变。但是,在存在噪声的情况下,可移位性得分有时可以在最初共享的资源状态的纠缠内容上显示非单调行为。具体而言,在局部裂纹和比特相折叠噪声下,较小的纠缠状态对于某些系统参数的选择可以具有更高的可伸缩性得分。在存在全球去极化噪声的情况下,对于低纠缠的资源状态和高灵敏度要求,与无噪声相比,嘈杂的状态可以具有更好的可遗传性得分。

Quantum teleportation is one of the most pioneering features of the quantum world. Typically, the quality of a teleportation protocol is solely judged by its average fidelity. In this work, we analyze the performance of teleportation in terms of both fidelity and the deviation in fidelity. Specifically, we define a quantity called teleportability score, which incorporates contributions from both the fidelity and its deviation. It also takes into account the sensitivity one requires for a protocol in which the teleportation of a quantum state is required in one or many intermediate steps. We compute the teleportability score in the noiseless scenario and find that it increases monotonically with the entanglement content of the resource state. The result remains same even if we consider an n-chain repeater-like configuration. However, in the presence of noise, the teleportability score, can sometime display a nonmonotonic behaviour with respect to the entanglement content of the initially shared resource state. Specifically, under local bit-flip and bit-phase-flip noise, lesser entangled states can have higher teleportability score for certain choice of system parameters. In the presence of global depolarizing noise, for low entangled resource states and high sensitivity requirements, the noisy states can have better a teleportability score in comparison to the noiseless scenario.

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