1112.4633 (Takuya Machida)

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

Takuya Machida

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.

View original: http://arxiv.org/abs/1112.4633