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Graph theory is a powerful tool in quantum computing, with applications ranging from quantum circuit synthesis and optimization to entanglement mapping. Recent work has shown how one can use edge-colored graphs to model photonic experiments that generate GHZ and W states. However, the latter work also proved that verif...
We introduce a graph invariant obtained from Pauli decompositions of Hamiltonians derived from local graph neighborhoods. Given a rooted h-hop neighborhood, we construct a local adjacency operator, embed it into a common Hilbert space dimension, and define its Pauli-support set as the collection of Pauli strings appear...
This work gives CTQW realizations of the standard single-qubit gates and introduces new graph rewrite rules, which are graph rewrite rules that shorten a dynamic graph sequence while preserving the unitary it implements.
This work trains machine learning models to predict, for a given graph, which of the two decompositions produces the smaller CX gate count, and uses the dominant signal from n_Pauli, a property of the Hamiltonian decomposition rather than an intrinsic property of the graph.
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