The authors conjecture that the spin entanglement entropy of a thermalized quantum walk on a graph equals the logarithm of the total node length of the graph's minimum cycle basis, and report numerical agreement on Watts-Strogatz and Erdős-Rényi graphs.
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Thermal state entanglement entropy on a quantum graph
The authors conjecture that the spin entanglement entropy of a thermalized quantum walk on a graph equals the logarithm of the total node length of the graph's minimum cycle basis, and report numerical agreement on Watts-Strogatz and Erdős-Rényi graphs.