Quantum coherence of mixed states under noisy channels in noninertial frames

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. • Investigate the quantum coherence properties of tripartite mixed states based on the measure of coherence concurrence under the effect of Hawking radiation and noisy environment The accessible coherence concurrence always degrades as the Hawking acceleration rising. • Sudden death for coherence concurrence never occurs. • The inaccessible coherence concurrence increases from zero monotonically.