Abstract
In this manuscript, we examine the dynamical behavior of the coherence in open quantum systems using the l1 norm. We consider a two-qubit system that evolves in the framework of Kossakowski-type quantum dynamical semigroups (KTQDSs) of completely positive maps (CPMs). We find that the quantum coherence can be asymptotically maintained with respect to the values of the system parameters. Moreover, we show that the quantum coherence can resist the effect of the environment and preserve even in the regime of long times. The obtained results also show that the initially separable states can provide a finite value of the coherence during the time evolution. Because of such properties, several states in this type of environments are good candidates for incorporating quantum information and optics (QIO) schemes. Finally, we compare the dynamical behavior of the coherence with the entire quantum correlation.
Highlights
In recent years, both theoretically and experimentally, several quantum phenomena have been considered as resources for the implementation of different tasks of quantum information and optics (QIO)
In this manuscript, we examine the dynamical behavior of the coherence in open quantum systems using the l1 norm
We examine the phenomenon of coherence for a class of two-qubit states using Kossakowski-type quantum dynamical semigroups (KTQDSs) of completely positive maps (CPMs)
Summary
Both theoretically and experimentally, several quantum phenomena have been considered as resources for the implementation of different tasks of quantum information and optics (QIO). In most models that describe open quantum systems, the amount of coherence decreases asymptotically to zero and the entanglement dynamics emphasize the phenomenon of sudden death for decoherent environments [27]. We examine the phenomenon of coherence for a class of two-qubit states using Kossakowski-type quantum dynamical semigroups (KTQDSs) of completely positive maps (CPMs) These dynamics exhibits quantum states with a finite value of the coherence with respect to the initial states, including separable and entangled states. We examine how the coherence evolves in this type of the present model by showing the phenomenon of the coherence trapping where the coherence can be preserved even in the regime of long times These characteristics make quantum states a suitable option for implementing different QIO schemes in this type of environment.
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