Some Properties of Multi-Qubit States in Non-Inertial Frames

TL;DR

This study examines how multi-qubit quantum states' properties such as fidelity, capacity, and entanglement are affected by acceleration in non-inertial frames, revealing robustness differences among GHZ, GHZ-like, and W-states.

Contribution

It provides a comparative analysis of the robustness of different multi-qubit states under acceleration, highlighting the GHZ state's superior stability in non-inertial frames.

Findings

Fidelities, capacities, and entanglement decrease with increased acceleration.

GHZ state is more robust than GHZ-like and W-states.

Entanglement persists or is generated in certain regions despite acceleration.

Abstract

In this paper, some properties of multi-qubit states traveling in non-inertial frames are investigated, where we assume that all particles are accelerated. These properties are including fidelities, capacities and entanglement of the accelerated channels for three different states, namely, Greeberger-Horne-Zeilinger (GHZ) state, GHZ-like state and W-state. It is shown here that all these properties are decreased as the accelerations of the moving particles are increased. The obtained results show that the GHZ-state is the most robust one comparing to the others, where the degradation rate is less than that for the other states particularly in the second Rindler region. Also, it is shown here that the entangled property doesn't change in the accelerated frames. Additionally, the paper shows that the degree of entanglement decreases as the accelerations of the particles increase in the first Rindler region. However in the second region, where all subsystems are disconnected at zero acceleration, entangled channels are generated as the acceleration increases. Keywords: Multi-qubit states, Non-inertial frame, Fidelity, Capacity, Entanglement, GHZ state, GHZ-like state, W-state.