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.
If two topological spacesX and Y are homeomorphic, then their homology groups are isomorphic: H X r ∼= H Y r for all r ≥
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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.