Streamlined quantum algorithm for persistent Betti numbers with exponential qubit reduction, polynomial speedups, and a competitive quantum-inspired classical algorithm showing no evidence for exponential quantum advantage.
A summary of our results are present in Table XI
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A streamlined quantum algorithm for topological data analysis with exponentially fewer qubits
Streamlined quantum algorithm for persistent Betti numbers with exponential qubit reduction, polynomial speedups, and a competitive quantum-inspired classical algorithm showing no evidence for exponential quantum advantage.