The Research Of Transformation And Coherence Measure Of The Operation

An important research direction of quantum information theory is quantum resource theory.In quantum physics,there are properties different from those in classical physics.These properties are normally regarded as a kind of resource.By describing and measuring them,they can effectively accomplish some quantum information tasks.Coherence resource theory of operations is an important research direction of quantum resource theory.In the coherence resource theory of operations,based on Choi-Choi-Jamio(?)kowski isomorphism,we study the properties of the phase-out superoperation in the first place,and provide a classification of quantum superoperations,which is a useful supplement to quantum superoperations.Then,we discuss the expression of maximally coherent operations.In terms of Choi-Choi-Jamio(?)kowski isomorphism,we also study the relation between the maximally coherent operation and the unit operation as well as the transformation between unitary operations.Afterwards,we discuss the ability of quantum superoperations to affect the coherence of quantum operations,and study relevant properties of quantum superoperations.Finally,we define the fidelity coherence measure of quantum operations,and prove that the fidelity coherence measure of quantum operations satisfies the coherence metric axiom of quantum operations.We also calculate the fidelity coherence measure of maximally coherent operations on the single qubit.