Optimal control of quantum permutation algorithm with a molecular ququart

• DOI: 10.1364/oe.534026
• Publication Date: 2024-10-09T10:00:08Z
• Authors: Jie-Ru Hu; Zuo-Yuan Zhang; Jin-Ming Liu; Massimo Boninsegni

Quantum algorithms can afford greater computational efficiency compared to their classical counterparts when addressing specific computing tasks. We describe here the implementation, using a polar molecule in an external electric field, of single-qudit cyclic permutation identification algorithm proposed by Gedik et al. [ Sci. Rep. 5 , 14671 ( 2015 ). 10.1038/srep10995 ]. A molecular ququart is realized through field-dressed states generated as pendular modes BaI. By employing multi-target optimal control theory, we design microwave pulses for ququart-based operations such Fourier transformation and its inverse, well oracle U f operation. Specifically, optimized pulse sequence that realizes quantum on single BaI identifying parity member set permutations with high fidelity. This demonstrates applicability theory molecules computation.