Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present two long-time limit theorems of a 3-state quantum walk on the line when the walker starts from the origin. One is a limit measure which is obtained from the probability distribution of the walk at a long-time limit, and the other is a convergence in distribution for the walker's position in a rescaled space by time. In addition, as an application of the walk,  obtain discrete uniform limit measures from the 3-state walk with a delocalized initial state.
['Takuya Machida']
I am writing a research paper on a idea Limit theorems of a 3-state quantum walk and its application for discrete uniform measures
[{"from": "human", "value": "I am writing a research paper on a idea Limit theorems of a 3-state quantum walk and its application for discrete uniform measures"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  present two long-time limit theorems of a 3-state quantum walk on the line when the walker starts from the origin. One is a limit measure which is obtained from the probability distribution of the walk at a long-time limit, and the other is a convergence in distribution for the walker's position in a rescaled space by time. In addition, as an application of the walk,  obtain discrete uniform limit measures from the 3-state walk with a delocalized initial state."}]