Enhancing the teleportation of quantum Fisher information under correlated generalized amplitude damping noise

• Published in: Results in physics Vol. 53; p. 107010
• Main Authors: Li, Yan-Ling, Liao, Cai-Hong, Yao, Lin, Xiao, Xing
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.10.2023; Elsevier
• Subjects: Correlated generalized amplitude damping noise; Environment-assisted measurement; Quantum Fisher information; Quantum teleportation; Weak measurement; Environment-assisted measurement; Quantum teleportation; Weak measurement; Correlated generalized amplitude damping noise; Quantum Fisher information
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2023.107010

The generalized amplitude damping (GAD) noise models the dynamical map of a qubit in contact with a non-zero temperature bosonic reservoir. When two qubits successively pass through the same GAD channel, correlation effects should be taken into account. Therefore, the dynamical map is modeled as correlated GAD (CGAD) noise. In this paper, we investigate the teleportation of quantum Fisher information (QFI) under CGAD noise. We first show that the correlation effects in CGAD noise can enhance the teleported QFI. We then present two probabilistic schemes to improve the teleportation of QFI in CGAD noise by weak measurement (WM) and environment-assisted measurement (EAM). We find the correlation effects of CGAD noise serve to improve the teleportation of QFI and increase the probability of success. Contrary to intuition, the thermal average photon number n does not always play a negative role in our probabilistic schemes. Although a larger n will cause the teleported QFI to decay faster, the corresponding probability of success will be higher. Finally, we introduce a quantity called average QFI to demonstrate that the EAM scheme is superior to the WM scheme with respect to QFI improvement under CGAD noise. •Correlation effects of correlated generalized amplitude damping (CGAD) noise can improve the teleportation of QFI.•Two schemes to improve the teleportation of QFI in CGAD noise by WM and EAM are proposed.•The EAM scheme is superior to the WM scheme with respect to QFI improvement under CGAD noise.