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Quantum Information Processing
Published in: Quantum Information Processing 10/2019

01-10-2019

A new kind of universal and flexible quantum information splitting scheme with multi-coin quantum walks

Authors: Heng-Ji Li, Jian Li, Nan Xiang, Yan Zheng, Yu-Guang Yang, Mosayeb Naseri

Published in: Quantum Information Processing | Issue 10/2019

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Abstract

Quantum walks have received much attention due to their many potential applications for quantum information processing in recent years. In this paper, we propose a novel class of universal and flexible quantum information splitting scheme of an arbitrary qubit and d-dimensional qudit via using the model of quantum walks with multiple coins for the first time. Firstly, for splitting an arbitrary qubit into N parts, quantum walks on the line with \(N+1\) coins, which are homogeneous and position dependent, are used, respectively. In addition, it can be generalized to the model of quantum walks on the cycle for fulfilling this scheme. Secondly, for distributing an unknown d-dimensional qudit into N parts, quantum walks with \(N+1\) coins are used on the complete graph and the d-regular graph, respectively. Our scheme has two significant merits: (i) It is universal and flexible, which implies that based on the different quantum walks structures, not only an unknown qubit but also d-dimensional qudit can be shared; (ii) the prior entangled state is not necessarily prepared and the entanglement measurement is not needed, which make this scheme more convenient for the agents in applications on a network. This work opens wider application purpose of quantum walks and provides inspiration to explore the potential applications of quantum walks.
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Metadata
Title
A new kind of universal and flexible quantum information splitting scheme with multi-coin quantum walks
Authors
Heng-Ji Li
Jian Li
Nan Xiang
Yan Zheng
Yu-Guang Yang
Mosayeb Naseri
Publication date
01-10-2019
Publisher
Springer US
Published in
Quantum Information Processing / Issue 10/2019
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-019-2422-3

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