Improving the Precision of Multiparameter Estimation in the Teleportation of Qutrit under Amplitude Damping Noise

Abstract

Since the initial discovery of quantum teleportation, it is devoted to transferring unknown quantum states from one party to another distant partner. However, in the scenarios of remote sensing, what people truly care about is the information carried by certain parameters. The problem of multiparameter estimation in the framework of qutrit teleportation under amplitude damping (AD) noise is studied. Particularly, two schemes are proposed to battle against AD noise and enhance the precision of multiparameter estimation by utilizing weak measurement (WM) and environmentassisted measurement (EAM). For two-phase parameters encoded in a qutrit state, the analytical formulas of the quantum Fisher information matrix (QFIM) can be obtained. The results prove that the scheme of EAM outperforms the WM one in the improvements of both independent and simultaneous estimation precision. Remarkably, the EAM scheme can completely ensure the estimation precision against the contamination by AD noise. The reason should be attributed to the fact that EAM is carried out after the AD noise. Thus, it extracts information from both the system and the environment. The findings show that the techniques of WM and EAM are helpful for remote quantum sensing and can be generalized to other qutrit-based quantum information tasks under AD decoherence.

Purification for Hybrid Entanglement between Discrete‐ and Continuous‐Variable States

“…It plays a vital role in quantum communication and computation fields, such as quantum teleportation, [1][2][3] quantum key distribution, [4][5][6][7][8][9] quantum secret sharing, [10][11][12][13] quantum secure direct communication, [14][15][16][17][18][19][20][21][22] quantum repeater, [23,24] distributed quantum computing, [25] quantum machine learning, [26] and some other important branches. [27][28][29][30][31][32][33][34][35][36] Practical quantum applications commonly operate across diverse physical systems. In general, the quantum applications can be historically divided into two primary categories: continuousvariable (CV) and discrete-variable (DV) systems.…”

Nonequilibrium Effects on the Precision of Parameter Estimation

“…These tasks all fall under the framework of multiparameter estimation. [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36] The main advantage of DOI: 10.1002/andp. 202300180 multiparameter estimation is that it can provide better precision than individual ones.…”

Hierarchical controlled cyclic quantum teleportation

“…CQT can be used for some special cases, such as approved transmission of secret information, network security meetings, etc Subsequently, people utilized quantum entanglement to construct different quantum channels and proposed many schemes for the teleportation of single-qubit quantum states, two-qubit quantum states, or multi-qubit quantum states [12][13][14][15][16][17]. At the same time, there are also numerous research accomplishments in experimental quantum teleportation [3,[18][19][20][21], high-dimensional quantum teleportation [22,23], and teleportation in noisy environments [24][25][26].…”