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arXiv · 2012.05986

Entanglement of graph states of spin system with Ising interaction and its quantifying on IBM's quantum computer

Kh. P. Gnatenko·V. M. Tkachuk
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Abstract

We consider graph states generated by operator of evolution with Ising Hamiltonian. The geometric measure of entanglement of a spin with other spins in the graph state is obtained analytically and quantified on IBM's quantum computer, IBM Q Valencia. The results of quantum calculations are in good agreement with the theoretical ones. We conclude that the geometric measure of entanglement of a spin with other spins in the graph state is related with degree of vertex representing the spin in the corresponding graph.

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Kh. P. Gnatenko, V. M. Tkachuk. 2020-12-10. Entanglement of graph states of spin system with Ising interaction and its quantifying on IBM's quantum computer. https://doi.org/10.1016/j.physleta.2021.127248

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