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arXiv · 1112.4633

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

Takuya Machida
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Abstract

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 off-diagonal parts of the density matrices have an important role to quantify quantumness, they have not received attention in quantum walks. We focus on the off-diagonal parts of the density matrices for discrete-time quantum walks on the line and derive limit theorems for them.

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Takuya Machida. 2013-03-29. Limit theorems for the interference terms of discrete-time quantum walks on the line. https://arxiv.org/abs/1112.4633

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