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000615335 0247_ $$2datacite_doi$$a10.3204/PUBDB-2024-06093
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000615335 088__ $$2arXiv$$aarXiv:2407.02569
000615335 1001_ $$0P:(DE-H253)PIP1102922$$aChai, Yahui$$b0$$eCorresponding author$$udesy
000615335 245__ $$aStructure-inspired Ansatz and Warm Start of Variational Quantum Algorithms for Quadratic Unconstrained Binary Optimization Problems
000615335 260__ $$c2024
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000615335 520__ $$aThis paper introduces a structure-inspired ansatz for addressing quadratic unconstrained binary optimization problems with the Variational Quantum Eigensolver. We propose a novel warm start technique that is based on imaginary time evolution, and allows for determining a set of initial parameters prioritizing lower energy states in a resource-efficient way. Using classical simulations, we demonstrate that this warm start method significantly improves the success rate and reduces the number of iterations required for the convergence of Variational Quantum Eigensolver. The numerical results also indicate that the warm start approach effectively mitigates statistical errors arising from a finite number of measurements, and to a certain extent alleviates the effect of barren plateaus.
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000615335 536__ $$0G:(GEPRIS)429529648$$aDFG project G:(GEPRIS)429529648 - TRR 306: Quantenkooperativität von Licht und Materie – QuCoLiMa (429529648)$$c429529648$$x2
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000615335 7001_ $$0P:(DE-H253)PIP1003636$$aJansen, Karl$$b1$$udesy
000615335 7001_ $$0P:(DE-H253)PIP1086314$$aKühn, Stefan$$b2$$udesy
000615335 7001_ $$0P:(DE-H253)PIP1097328$$aSchwägerl, Tim$$b3$$udesy
000615335 7001_ $$0P:(DE-H253)PIP1004820$$aStollenwerk, Tobias$$b4
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