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

TL;DR

The work analyzes discord-like quantum correlations in hyperon–antihyperon pairs produced at BESIII, modeling the system as a two-qubit X-state and evaluating $L_N$, $LQU$, and $LQFI$ under amplitude damping, phase damping, and phase flip noise. It connects these correlations to quantum teleportation fidelity, showing that fidelity can surpass the classical limit $2/3$ in certain channels and parameter regimes, with optimal performance near the scattering angle $\varphi=90^\circ$ and amplitude angle $\theta=\pi/2$. The study reveals a hierarchy $L_N \le LQU \le LQFI$ and demonstrates resilience of $LQU$ and $LQFI$ even when entanglement vanishes, especially under PF noise, highlighting regimes where quantum resources persist beyond entanglement. These results offer insights for leveraging noisy quantum correlations in particle-physics experiments and for designing robust quantum information protocols in high-energy settings. The analysis provides a bridge between quantum information concepts and BESIII physics, suggesting practical avenues for exploiting partial quantum coherence in noisy environments.

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 $\varphi=\pmπ$ and are symmetric around $\varphi=π/2$. 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 ($ Λ\barΛ$, $Ξ^{0}\bar{Ξ^{0}}$, $Ξ^{-}\bar{Ξ^{+}}$, $Σ^{+}\bar{Σ^{-}}$). 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.

Figures (13)

• Figure 1: (a): The Feynman diagram depicting the reaction $e^{+}e^{-}\to \text{Y}\bar{\text{Y}}$, (b): The coordinate system $\{\hat{x}, \hat{y}, \hat{z}\}$ is defined in the common rest frame of both the $\text{Y}$ and $\bar{\text{Y}}$ particles.
• Figure 2: Plot of the LN, LQU and LQFI as a function of the scattering angle $\varphi$ in $e^+e^- \to J/\psi \to \text{Y} \bar{\text{Y}}$ for various decay channels: $\Lambda\bar{\Lambda}$, $\Sigma^+\bar{\Sigma}^-$, $\Xi^0\bar{\Xi}^0$, and $\Xi^-\Xi^+$, taking into account the experimental parameters as in table \ref{['t1']}.
• Figure 3: Plot of the LN (a), LQU (b) and LQFI (c) versus $\text{s}$ and the scattering angle $\varphi$ in $e^+e^- \to J/\psi \to \Lambda \bar{\Lambda}$, for AD channel. Using the parameters value setting in the Table \ref{['t1']}.
• Figure 4: Plot of the LN (a), LQU (b) and LQFI (c) versus $\text{s}$ and the scattering angle $\varphi$ in $e^+e^- \to J/\psi \to \Lambda \bar{\Lambda}$, for PF channel. Using the parameters value setting in the Table \ref{['t1']}.
• Figure 5: Plot of the LN (a), LQU (b) and LQFI (c) versus $\text{s}$ and the scattering angle $\varphi$ in $e^+e^- \to J/\psi \to \Lambda \bar{\Lambda}$, for PD channel. Using the parameters value setting in the Table \ref{['t1']}.