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The Grover algorithm with large nuclear spins in semiconductors

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arxiv cond-mat/0304674 v1 pith:UTCF2KKA submitted 2003-04-30 cond-mat.mes-hall

classification cond-mat.mes-hall
keywords nuclearspingroveralgorithmframegeneralizedlargequadrupolar
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We show a possible way to implement the Grover algorithm in large nuclear spins 1/2<I<9/2 in semiconductors. The Grover sequence is performed by means of multiphoton transitions that distribute the spin amplitude between the nuclear spin states. They are distinguishable due to the quadrupolar splitting, which makes the nuclear spin levels non-equidistant. We introduce a generalized rotating frame for an effective Hamiltonian that governs the non-perturbative time evolution of the nuclear spin states for arbitrary spin lengths I. The larger the quadrupolar splitting, the better the agreement between our approximative method using the generalized rotating frame and exact numerical calculations.

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  1. Efficient Implementation of a Quantum Algorithm with a Trapped Ion Qudit

    quant-ph 2025-06 conditional novelty 6.0 of 10

    First implementation of Grover's search on trapped-ion qudits of dimension 5 and 8, with measured success probabilities of 96.8% and 69%.

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