General condition of quantum teleportation by one-dimensional quantum walks
Tomoki Yamagami, Etsuo Segawa, Norio Konno
TL;DR
This paper extends the quantum teleportation scheme using one-dimensional quantum walks, providing a rigorous mathematical framework and necessary and sufficient conditions for successful teleportation.
Contribution
It introduces a formal definition and classification criteria for quantum teleportation via quantum walks, advancing theoretical understanding.
Findings
Established a mathematical definition for teleportation success
Derived necessary and sufficient conditions for teleportation achievement
Classified parameter settings for successful quantum teleportation
Abstract
We extend the scheme of quantum teleportation by quantum walks introduced by Wang et al. (2017). First, we introduce the mathematical definition of the accomplishment of quantum teleportation by this extended scheme. Secondly, we show a useful necessary and sufficient condition that the quantum teleportation is accomplished rigorously. Our result classifies the parameters of the setting for the accomplishment of the quantum teleportation.
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