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arXiv · 2302.10074

Quantum routing in planar graph using perfect state transfer

Supriyo Dutta
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Abstract

In this article, we consider a spin-spin interaction network governed by $XX + YY$ Hamiltonian. The vertices and edges of the network represent the spin objects and their interactions, respectively. We take a privilege to switch on or off any interaction, that assists us to perform multiple perfect state transfers in a graph simultaneously. We also build up a salable network allowing quantum communication between two arbitrary vertices. Later we utilize the combinatorial characteristics of hypercube graphs to propose a static routing schema to communicate simultaneously between a set of senders and a set of receivers in a planar network. Our construction is new and significantly powerful. We elaborate multiple examples of planar graphs supporting quantum routing where classical routing is not possible.

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Supriyo Dutta. 2023-02-20. Quantum routing in planar graph using perfect state transfer. https://arxiv.org/abs/2302.10074

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