Quantum Steering Ellipsoid and Unruh Effect

TL;DR

This paper investigates how Unruh acceleration influences quantum steering in a two-qubit system, providing analytic expressions and a geometric framework to understand relativistic effects on quantum correlations.

Contribution

It introduces a geometric description of Unruh acceleration's impact on quantum steering and derives closed-form expressions for key steering quantities in a non-inertial frame.

Findings

Unruh acceleration affects the steerability of two-qubit systems.

Analytic formulas for quantum steering ellipsoid under acceleration.

Geometric interpretation of relativistic effects on quantum correlations.

Abstract

Quantum steering is a perplexing feature at the heart of quantum mechanics that provides profound implications in understanding the nature of physical reality. On the other hand, the effect of relativistic features on quantum systems is vital in understanding the underlying foundations of physics. In this work, we study the effects of Unruh acceleration on the quantum steering of a two-qubit system. In particular, we consider the so-called quantum steering ellipsoid and the maximally-steered coherence in a non-inertial frame and find closed-form analytic expressions for the role of the Unruh acceleration in these quantities. Analyzing the conditions for the steerability of the system, we develop a geometric description for the effect of Unruh acceleration on the quantum steering of a two-qubit system.