A quantum adjacency state on 2 log N qubits plus ancilla enables subgraph count estimation via m-fold tensor product measurements, producing quantum logspace algorithms for motif counting.
Quantum experiments and graphs ii: Quantum interference, com- putation, and state generation.Proceedings of the National Academy of Sciences, 116(10):4147–4155
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Quantum embedding of graphs for subgraph counting
A quantum adjacency state on 2 log N qubits plus ancilla enables subgraph count estimation via m-fold tensor product measurements, producing quantum logspace algorithms for motif counting.