Quantum Coherence Evolution And Monogamy Relations Of W States In Non-inertial Frame

As an important physical resource in quantum system,quantum coherence plays an extremely important role in quantum communication.The exploration of quantum coherence can not only enrich the basic knowledge of quantum mechanics but also deepen the understanding of the nature of quantum characteristics.In addition,with the improving of the level of science and technology,more and more of the ultra-high speed experiment is under way,the quantum information is no longer limited to the inertial observers,but to consider the reality between different observers,extreme distance,and between the earth and satellite in reality,in which the relativistic effect will inevitably affect the carrier of the quantum information,thus having an impact on the quantum information tasks.Therefore,to explore the problems related to quantum information in the non-inertial frame is helpful for us to better understand the results of quantum information experiments carried out by arbitrary moving observers.At the same time,as a three-particle entangled state with strong entanglement,W state is also favored in the related research of quantum information science.In addition,monogamy relations,as an important property,has played an important role in multi-body quantum systems.It not only plays an important role in the multi-body quantum systems,but also provides a guarantee for the security of quantum key distribution.Therefore,we take W state as the research object to study its quantum coherence properties and quantum entanglement properties as well as the monogamy relations in the non-inertial frame.The specific research contents of this paper are as follows:(1)One particle in the three-particle W state is in an accelerated state,the quantum coherence properties and quantum entanglement properties of the three-particle W state are investigated under this case.The results show that the quantum coherence and quantum entanglement decrease monotonically with the increase of acceleration in the non-inertial frame.However,as the acceleration tends to infinity,the quantum coherence and quantum entanglement do not decrease to zero.By comparison,it is found that quantum coherence is less affected by acceleration than quantum entanglement in the non-inertial frame.(2)Two particle in the three-particle W state is in an accelerated state,the quantum coherence properties of the three-particle W state are investigated under this case.The results show that the quantum coherence decrease monotonically with the increase of acceleration in the non-inertial frame.However,as the acceleration tends to infinity,the quantum coherence do not decrease to zero.(3)One particle in the three-particle W state is in an accelerated state,the monogamy relations of quantum coherence and quantum entanglement of the three-particle W state in a non-inertial frame are investigated under this case.The results show that in the non-inertial frame,the monogamy relations of quantum coherence and quantum entanglement of the W state are always valid,that is,the monogamy relations of the two states is independent of the change of the acceleration.Therefore,we believe that quantum coherence is an excellent resource for the implementation of quantum information processing tasks,which is of great significance to the further development and improvement of quantum information theory.The study of quantum coherence properties and monogamy relations in the non-inertial frame of W state can further deepen people's understanding of the measurement and protection of quantum coherence resources in the relativistic frame,In order to provides a theoretical basis for the practical application of quantum coherence as an important quantum resource and the realization of physical processes such as quantum information transmission over long distances.