Quantum teleportation, entanglement, LQU and LQFI in $e^{+}e^{-} \to \text{Y}\bar{\text{Y}}$ processes at BESIII through noisy channels

Abstract

Quantum teleportation, a protocol that has received extensive and intensive attention in quantum information processing, allows a quantum state to be transferred from one particle to another. In this study, we analytically investigate fidelity ($F$), logarithmic negativity (LN), local quantum uncertainty (LQU) and local quantum Fisher information (LQFI) as a discord-like measure of quantum correlations in $e^{+}e^{-} \to \text{Y}\bar{\text{Y}}$ processes at BESIII through noisy channels, using experimental feasible parameters, where $\text{Y}$ and $\bar{\text{Y}}$ refer to the spin-$1/2$ hyperon and its antihyperon, respectively. Without a dephasing effect, we show that, LN, LQU, and LQFI vanish at $\varphi=\pm\pi$ and are symmetric around $\varphi=\pi/2$. We also explore the LN, LQU, and LQFI for different $\text{Y}\bar{\text{Y}}$ pairs subjected to three distinct types of decoherence channels. Specifically, we show that amplitude damping (AD) and phase damping (PD) lead to a decrease in LN, LQU, and LQFI with an increasing decoherence parameter $s$. In contrast, the phase flip (PF) channel exhibits symmetric behavior around $s=1/2$. Besides, we realize for teleportation, optimal fidelity for different hyperon-antihyperon pairs ($ \Lambda\bar{\Lambda}$, $\Xi^{0}\bar{\Xi^{0}}$, $\Xi^{-}\bar{\Xi^{+}}$, $\Sigma^{+}\bar{\Sigma^{-}}$). We discuss the influence of noisy channels, specifically (AD, PF and PD), on the fidelity of quantum teleportation and on quantum correlations that can exist even beyond entanglement. Furthermore, the results show that the fidelity remains above the classical limit of $2/3$ in all three channels, even as the noise increases. This is a significant finding because it shows that not all quantum noise is detrimental. These results can have promising applications in quantum information and particle physics.