Dependence of entanglement on initial states under amplitude damping channel in non-inertial frames

TL;DR

This paper investigates how entanglement decay under amplitude damping depends on initial states and acceleration, revealing different decay behaviors and conditions for sudden death in non-inertial frames.

Contribution

It analyzes the dependence of entanglement decay on initial states and acceleration, highlighting differences between two groups of Bell states under amplitude damping.

Findings

Entanglement decays differently for various initial states.

Sudden death of entanglement occurs under specific conditions.

Two Bell state groups cannot be distinguished solely by concurrence.

Abstract

Under amplitude damping channel, the dependence of the entanglement on the initial states $|\Theta>_{1}$ and $|\Theta>_{2}$, which reduce to four orthogonal Bell states if we take the parameter of states $\alpha=\pm 1/\sqrt{2}$ are investigated. We find that the entanglements for different initial states will decay along different curves even with the same acceleration and parameter of the states. We note that, in an inertial frame, the sudden death of the entanglement for $|\Theta>_{1}$ will occur if $\alpha>1/\sqrt{2}$, while it will not take place for $|\Theta>_{2}$ for any $\alpha$. We also show that the possible range of the sudden death of the entanglement for $|\Theta>_{1}$ is larger than that for $|\Theta>_{2}$. There exist two groups of Bell state here we can't distinguish only by concurrence.