Sparse power-of-two circuit connectivity provides task-dependent advantages for variational quantum learning, and a Monna-map qubit reordering enables short-range circuits to solve long-range problems.
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Hadamard states exhibit higher average multipartite entanglement than Haar-typical states via purity of balanced bipartitions, with hypergraph states (real alternating-sign coefficients) being especially promising for maximal entanglement due to simplicity and sampling likelihood.
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Variational Learning with Sparse Long-range Entangling Gates
Sparse power-of-two circuit connectivity provides task-dependent advantages for variational quantum learning, and a Monna-map qubit reordering enables short-range circuits to solve long-range problems.
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Multipartite entanglement of random states of qubits
Hadamard states exhibit higher average multipartite entanglement than Haar-typical states via purity of balanced bipartitions, with hypergraph states (real alternating-sign coefficients) being especially promising for maximal entanglement due to simplicity and sampling likelihood.