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Optimal quantum control with digitized Quantum Annealing
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We show how a digitized version of Quantum Annealing can be made optimal, realizing the best possible solution allowed by quantum mechanics in the shortest time, without any prior knowledge on the location and properties of the spectral gap. Our findings elucidate the intimate relation between digitized-QA, optimal Quantum Control, and recently proposed hybrid quantum-classical variational algorithms for quantum-state preparation and optimization. We illustrate this on the simple benchmark problem of an unfrustrated antiferromagnetic Ising chain in a transverse field.
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Parity Mapping for Quantum Optimization on Frustrated Ising Rings
On the frustrated Ising ring, parity-encoded QAOA prepares the exact ground state with a system-size-independent number of layers when local fields are distinct, while parity quantum annealing only halves the exponent...
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