The Dynamic Evolution Of The Coherent Energy And Decoherent Energy Of The Quantum Markov Channel

Coherence,being the heart of interference phenomenon,arises from a critical property which is called quantum superposition.Coherence is one of the most important physical resources in quantum information processing,which can be used in quantum biology,quantum thermodynamics,and resource theories.Quantum coherence in open quantum systems can be destroyed by noise,resulting in the loss of quantum information.However,sometimes it can be froze or increased insome special kinds of channels.To quantify the power of a channel for creating or destroying the coherence of input quantum states,Mani et al.gave the definition of the cohering and decohering power of quantum channels,and Bu et al.defined the coherence breaking indices for incoherent quantum channels.On this basis,the researchers conducted extensive research on the quantum channel.Studying the cohering and decohering power of a quantum channel for a input quantum state is of great significance for the development of quantum information science.Different quantum channels have different cohering and decohering power for the same input quantum state.In this paper,we mainly study the dynamics of the cohering and decohering power of Markovian channels under the coherence of the l1-norm,Rényi a relative entropy and Tsallis a relative entropy of coherence in order to study the dynamics of the cohering and decohering power of Markovian channels.Moreover,We also find that the combination of weak and reversed measurements helps to protect quantum coherence and reduces the loss of quantum coherence under the influence of quantum channels.The main work is as follows:1.We introduce the two-dimensional reference bases K.Under the reference base K,we give analytical expressions of the l1-norm,Rényi 2-relative entropy and Tsallis 2-relative entropy of coherence,using the Bloch vector to represent a general one-qubit state and a set of two-dimensional arbitrary bases.2.With respect to the change of the reference bases and time parameters,the cohering and decohering power of amplitude damping channel,phase damping channel,depolarization channel and flip channels are similarly studied.3.We indicates that the joint action of weak measurement and inversion measurement can effectively protect the quantum coherence.