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This research establishes a theoretical bridge between time-optimal quantum evolution protocols and the coherent two-boundary optimal-control framework used in algorithm design. By clarifying these mathematical relations, the work advances our understanding of how to construct efficient quantum algorithms that minimize execution time through precise control fields.
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Projector Form of the Quantum Brachistochrone and Its Relation to Two-Boundary Quantum Algorithm Design

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arXiv:2610.00169v1 Announce Type: new Abstract: We clarify the relation between the time-optimal quantum evolution of Carlini et al. and the coherent two-boundary optimal-control formulation recently proposed for quantum algorithm design.

Abstract:We clarify the relation between the time-optimal quantum evolution of Carlini et al. and the coherent two-boundary optimal-control formulation recently proposed for quantum algorithm design.

arXiv:2610.00169 [quant-ph]

(or arXiv:2610.00169v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2610.00169 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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