Hybrid quantum-classical method for Betti number estimation that combines classical simplex enumeration with quantum processing and claims polynomial-to-exponential speedups over existing quantum algorithms at the cost of extra ancilla qubits.
Com- puting the metric distances Dij requires evaluating von Neumann entropies Si, Sj, and Sij, which classically ne- cessitates:
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Hybrid quantum-classical framework for Betti number estimation with applications to topological data analysis
Hybrid quantum-classical method for Betti number estimation that combines classical simplex enumeration with quantum processing and claims polynomial-to-exponential speedups over existing quantum algorithms at the cost of extra ancilla qubits.