Quantum Correlations of Helicity Entangled States in Non-inertial Frames Beyond Single Mode Approximation

TL;DR

This paper demonstrates that quantum entanglement and quantum discord in helicity entangled states are unaffected by acceleration and non-inertial frames, even beyond the single mode approximation, indicating observer-independent quantum correlations.

Contribution

It shows that quantum correlations in helicity entangled states are invariant under acceleration and beyond single mode approximation, extending previous understanding of observer independence.

Findings

Quantum entanglement remains observer independent in non-inertial frames.

Quantum Discord is unaffected by acceleration and beyond single mode approximation.

Geometric Quantum Discord remains unchanged in non-inertial frames.

Abstract

A helicity entangled tripartite state is considered in which the degree of entanglement is preserved in non-inertial frames. It is shown that Quantum Entanglement remains observer independent. As another measure of quantum correlation, Quantum Discord has been investigated. It is explicitly shown that acceleration has no effect on the degree of quantum correlation for the bipartite and tripartite helicity entangled states. Geometric Quantum Discord as a Hilbert-Schmidt distance is computed for helicity entangled states. It is shown that living in non-inertial frames does not make any influence on this distance, either. In addition, the analysis has been extended beyond single mode approximation to show that acceleration does not have any impact on the quantum features in the limit beyond the single mode. As an interesting result, while the density matrix depends on the right and left Unruh modes, the Negativity as a measure of Quantum Entanglement remains constant. Also, Quantum Discord does not change beyond single mode approximation.