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Effects of partial measurements on quantum resources and quantum Fisher information of a teleported state in a relativistic scenario
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences ( IF 2.9 ) Pub Date : 2020-07-01 , DOI: 10.1098/rspa.2020.0378
M Jafarzadeh 1 , H Rangani Jahromi 2 , M Amniat-Talab 1
Affiliation  

We address the teleportation of single- and two-qubit quantum states, parametrized by weight θ and phase φ parameters, in the presence of the Unruh effect experienced by a mode of a free Dirac field. We investigate the effects of the partial measurement (PM) and partial measurement reversal (PMR) on the quantum resources and quantum Fisher information (QFI) of the teleported states. In particular, we discuss the optimal behaviour of the QFI, quantum coherence (QC) as well as fidelity with respect to the PM and PMR strength and examine the effect of the Unruh noise on optimal estimation. It is found that, in the single-qubit scenario, the PM (PMR) strength at which the optimal estimation of the phase parameter occurs is the same as the PM (PMR) strength with which the teleportation fidelity and the QC of the teleported single-qubit state reaches its maximum value. On the other hand, generalizing the results to two-qubit teleportation, we find that the encoded information in the weight parameter is better protected against the Unruh noise in two-qubit teleportation than in the one-qubit scenario. However, extraction of information encoded in the phase parameter is more efficient in single-qubit teleportation than in the two-qubit version.

中文翻译:


相对论场景中部分测量对量子资源和隐形传态量子费希尔信息的影响



我们解决了在存在自由狄拉克场模式所经历的昂鲁效应的情况下,通过权重 θ 和相位 φ 参数进行参数化的单量子位和双量子位量子态的隐形传态。我们研究了部分测量(PM)和部分测量反转(PMR)对传送态的量子资源和量子费希尔信息(QFI)的影响。特别是,我们讨论了 QFI、量子相干性 (QC) 以及 PM 和 PMR 强度方面的保真度的最佳行为,并检查了 Unruh 噪声对最佳估计的影响。研究发现,在单量子位场景中,相位参数最佳估计发生时的 PM (PMR) 强度与隐形传输保真度和隐形传输单量子比特的 QC 时的 PM (PMR) 强度相同。 -量子位状态达到最大值。另一方面,将结果推广到两量子位隐形传态,我们发现在两量子位隐形传态中,权重参数中的编码信息比单量子位场景中的 Unruh 噪声得到了更好的保护。然而,在单量子位隐形传态中提取相位参数中编码的信息比在两量子位版本中更有效。
更新日期:2020-07-01
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