Hybrid quantum walks with optimal dynamical coin operators outperform QAOA on Max-Cut and MIS by accessing a strictly larger Jordan-Lie algebra that enables faster convergence and higher accuracy.
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A protocol prepares auxiliary qubits in a quantum synchronizing word state to unitarily reset a qudit automaton to a predetermined pure state independent of its initial configuration, while generating entanglement in the auxiliaries.
citing papers explorer
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Beyond Single Trajectories: Optimal Control and Jordan-Lie Algebra in Hybrid Quantum Walks for Combinatorial Optimization
Hybrid quantum walks with optimal dynamical coin operators outperform QAOA on Max-Cut and MIS by accessing a strictly larger Jordan-Lie algebra that enables faster convergence and higher accuracy.
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Unitary Realizations of Synchronizing Automata in Quantum Systems
A protocol prepares auxiliary qubits in a quantum synchronizing word state to unitarily reset a qudit automaton to a predetermined pure state independent of its initial configuration, while generating entanglement in the auxiliaries.