Limit theorems for the interference terms of discrete-time quantum walks on the line

Details Limit theorems for the interference terms of discrete-time quantum walks on the line Limit theorems for the interference terms of discrete-time quantum walks on the line

2011-12-20

arxiv.org/abs/1112.4633v2

Physics

Quantum Physics

11 pages, 10 figures

Scientific paper

The probability distributions of discrete-time quantum walks have been often investigated, and many interesting properties of them have been discovered. The probability that the walker can be find at a position is defined by diagonal elements of the density matrix. On the other hand, although non-diagonal elements of the density matrices have an important role to quantify quantumness, they have not received attention in quantum walks. We focus on the non-diagonal elements of the density matrices for discrete-time quantum walks on the line and derive limit theorems for them.

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