Coherence Trapping in Open Two-Qubit Dynamics

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 cohere...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 13; no. 12; p. 2445
Main Authors Algarni, Mariam, Berrada, Kamal, Abdel-Khalek, Sayed, Eleuch, Hichem
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.12.2021
Subjects
asymptotic states
Coherence
master equation
open quantum systems
quantum coherence
Quantum dots
Quantum phenomena
Qubits (quantum computing)
System theory
total quantum correlation
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Summary: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym13122445