Investigating quantum metrology in noisy channels

被引:12
作者
Falaye, B. J. [1 ]
Adepoju, A. G. [2 ]
Aliyu, A. S. [1 ]
Melchor, M. M. [2 ]
Liman, M. S. [1 ]
Oluwadare, O. J. [3 ]
Gonzalez-Ramirez, M. D. [2 ]
Oyewumi, K. J. [4 ]
机构
[1] Fed Univ Lafia, Dept Phys, PMB 146, Lafia, Nigeria
[2] UPALM, Inst Politecn Nacl, CIDETEC, Cdmx 07700, Mexico
[3] Fed Univ Oye Ekiti, Dept Phys, PMB 373, Ekiti, Ekiti State, Nigeria
[4] Univ Ilorin, Theoret Phys Sect, Dept Phys, PMB 1515, Ilorin, Nigeria
来源
SCIENTIFIC REPORTS | 2017年 / 7卷
关键词
FISHER INFORMATION; FIDELITY;
D O I
10.1038/s41598-017-16710-w
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Quantum entanglement lies at the heart of quantum information and quantum metrology. In quantum metrology, with a colossal amount of quantum Fisher information (QFI), entangled systems can be ameliorated to be a better resource scheme. However, noisy channels affect the QFI substantially. This research work seeks to investigate how QFI of N-qubit Greenberger-Horne-Zeilinger (GHZ) state is affected when subjected to decoherence channels: bit-phase flip (BPF) and generalize amplitude damping (GAD) channels, which can be induced experimentally. We determine the evolution under these channels, deduce the eigenvalues, and then derive the QFI. We found that when there is no interaction with the environment, the Heisenberg limit can be achieved via rotations along the z direction. It has been shown that in BPF channel, the maximal mean QFI of the N-qubit GHZ state ((F) over bar (max)) dwindles as decoherence rate (p(B)) increases due to flow of information from the system to the environment, until p(B) = 0.5, then revives to form a symmetric around p(B) = 0.5. Thus, p(B) > 0.5 leads to a situation where more noise yields more efficiency. We found that in GAD channel, at finite temperature, QFIs decay more rapidly than at zero temperature. Our results also reveal that QFI can be enhanced by adjusting the temperature of the environment.
引用
收藏
页数:9
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