Quantum coherence of mixed states under noisy channels in noninertial frames

TL;DR

This paper investigates how quantum coherence in tripartite mixed states behaves near a Schwarzschild black hole under various noisy channels, revealing unique coherence dynamics and relationships.

Contribution

It introduces analytic relationships for coherence concurrence in tripartite mixed states affected by noise in noninertial frames, expanding understanding of quantum coherence in curved spacetime.

Findings

Coherence concurrence degrades with increasing Hawking acceleration under phase damping and bit flip channels.

No sudden death of coherence occurs; inaccessible coherence increases monotonically.

Coherence behavior varies with decay probability and channel type, showing non-monotonic trends.

Abstract

We focus our attention on tripartite mixed states as initial states, and apply coherence concurrence to investigate quantum coherence properties in the background of a Schwarzschild black hole under phase damping, phase flip and bit flip channels, respectively. Several analytic complementary relationships based on coherence concurrence for tripartite subsystems are proposed. In the case of the bit flip channel, the behavior of the coherence concurrence is similar to the one of the phase damping channel, the accessible coherence concurrence always degrades as the Hawking acceleration rising, but sudden death never occurs, while the inaccessible coherence increases from zero monotonically. Interestingly, the coherence concurrence is decreasing at first and then increasing as the decay probability rising under phase flip channel. Unlike the case of tripartite pure states, the coherence concurrence of mixed state with X shape is equal to $l_1$ -norm of coherence.