Perfect state transfer in graphs related to linear groups in two dimensions

2024/08/27 by Venkata Raghu Tej Pantangi, Pantangi, Venkata Raghu Tej, Peter Sin +1
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Mechanics and Applications #Opinion Dynamics and Social Influence

paper · pdf · doi:10.48550/arxiv.2408.14807

Abstract

We construct families of graphs from linear groups SL(2,q), GL(2,q) and GU(2,q²), where q is an odd prime power, with the property that the continuous-time quantum walks on the associated networks of qubits admit perfect state transfer.

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