Ordering States Based On Coherence Measurement With Skew Information

Quantum coherence,as a vital physical resource,is also one of the outstanding fea-tures that distinguishes the quantum physics from the classical world.In recent years,with the emergence of the concepts such as l1-norm of coherence,relative entropy of co-herence and geometric measure of coherence,quantum coherence with skew information is presented.From different standpoints exploring the coherence measurement has impor-tant theoretical significance and application value for further research and understanding of quantum coherence.In this thesis we investigate quantum coherence with skew information.We main-ly obtain four conclusions:First.we show a property of quantum coherence with skew information in mutually unbiased bases.Second,we discuss the relations of quantum co-herence with skew information among other quantum coherence measurements in single-qubit states,high-dimensional pure states and maximally coherent mixed states.Third,some different ordering states are given under each pare of the coherence measurements including quantum coherence with skew information and other quantum coherence mea-surements,respectively.At last,we explore the influence of states ordering based on quantum coherence with skew information under different quantum channels.