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IEEE Access

Quantum Network Communication With a Novel Discrete-Time Quantum Walk

Xiu‐Bo Chen, Yalan Wang, Gang Xu, Yixian Yang

Published Jan 1, 2019• 39 citations
Publisher

Abstract

In this paper, we propose a scheme using a new kind of quantum walk to realize quantum communication well. In our scheme, obviously, there are three advantages. First, the initial states can be transferred from the source to the target by finite steps, which will make execution easier in practice. Second, due to fewer restrictions to the network models, our scheme can be adapted to more general network models, such as the butterfly network, the inverted crown network, the grail network, and the generalized butterfly network Gk. Finally, arbitrary single-qubit and two-qubit initial states can be transferred to different kinds of network models. At the same time, the fidelity and probability equal 1. Our work promotes more applications of combining quantum computation with quantum communication in the future.

DOI
10.1109/access.2018.2890719

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In this paper, we propose a scheme using a new kind of quantum walk to realize quantum communication well. In our scheme, obviously, there are three advantages. First, the initial states can be transferred from the source to the target by finite steps, which will make execution easier in practice. Second, due to fewer restrictions to the network models, our scheme can be adapted to more general network models, such as the butterfly network, the inverted crown network, the grail network, and the generalized butterfly network Gk. Finally, arbitrary single-qubit and two-qubit initial states can be transferred to different kinds of network models. At the same time, the fidelity and probability equal 1. Our work promotes more applications of combining quantum computation with quantum communication in the future.
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Abstract The utilization of quantum entanglement as a cryptographic resource has superseded conventional approaches to secure communication. Security and fidelity of intranetwork communication between quantum devices is the backbone of a quantum network. This work presents an protocol that generates entanglement between any two directly connected nodes of a quantum network to be used as a resource to enable quantum communication across that pair in the network. The protocol is based on a directed discrete-time quantum walk and paves the way for private inter-node quantum communication channels in the network. We also present the simulation results of this protocol on random networks generated from various models. We show that after implementation, the probability of the walker being at all nodes other than the source and target is negligible and this holds independent of the random graph generation model. This constitutes a viable method for the practical realisation of secure communication over any random network topology.
In this article, we propose a quantum communication protocol via 2-step discrete time quantum walks with two coins on a graph of 10 vertices containing both cycles and paths. Quantum walks are known for their ability to integrate quantum mechanics dynamics like superposition and entanglement during the procedure. We calculate the total final quantum state of the system as well as the recovery operators to rescue the initial quantum state back at the receiver's location. Our work provides a fundamental block for a quantum teleportation scheme on a specific series of cycle and path graphs.
High-dimensional quantum systems can offer extended possibilities and multiple advantages while developing advanced quantum technologies. In this paper, we propose a class of quantum-walk architecture networks that admit the efficient routing of high-dimensional quantum states. Perfect state transfer of an arbitrary unknown qudit state can be achieved between two arbitrary nodes via a one-dimensional lackadaisical discrete-time quantum walk. In addition, this method can be generalized to the high-dimensional lattices, where it allows distillable entanglement to be shared between arbitrary input and output ports. Implementation of our scheme is more feasible through exploiting the coin degrees of freedom and the settings of the coin flipping operators are simple. These results provide a direct application in a high-dimensional computational architecture to process much more information.
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Recently, Wang et al. [Wang et al., Quantum Inf. Process. 16 (2017) 221] developed generalized teleportation schemes based on different quantum walks structures. In their paper, an interesting open question is whether there are other graphs suitable for teleportation. Here, we extend the results of quantum teleportation of an unknown qubit state by means of discrete-time quantum walks and propose two kinds of schemes for quantum teleportation by means of discrete-time quantum walks on N-lines and N-cycles, respectively. Likewise, prior quantum entanglement is unnecessary for teleportation and quantum entanglement is generated by means of quantum walks. This further opens wider applications of quantum walks in quantum communication protocols.