Generation and Robustness of Quantum Entanglement in Spin Graphs

• URL: http://arxiv.org/abs/2002.07683v2
• Date: Mon, 4 Jan 2021 12:14:30 GMT
• Title: Generation and Robustness of Quantum Entanglement in Spin Graphs
• Authors: Jan Riegelmeyer, Dan Wignall, Marta P. Estarellas, Irene D'Amico, and Timothy P. Spiller
• Abstract summary: Entanglement is a crucial resource for quantum information processing. We show how a graph structure can be used to generate high fidelity entangled states. We also investigate how fabrication errors affect the entanglement generation protocol.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Entanglement is a crucial resource for quantum information processing, and so protocols to generate high fidelity entangled states on various hardware platforms are in demand. While spin chains have been extensively studied to generate entanglement, graph structures also have such potential; however, only a few classes of graphs have been explored for this specific task. In this paper, we apply a particular coupling scheme involving two different coupling strengths to a graph of two interconnected $3\times3$ square graphs such that it effectively contains three defects. We show how this structure allows generation of a Bell state whose fidelity depends on the chosen coupling ratio. We apply partitioned graph theory in order to reduce the dimension of the graph and show that, using a reduced graph or a reduced chain, we can still simulate the same protocol with identical dynamics. Finally, we investigate how fabrication errors affect the entanglement generation protocol and how the different equivalent structures are affected, finding that for some specific coupling ratios they are extremely robust.

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