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quant-ph2023
Quantum Advantage of Noisy Grover's Algorithm
Jian Leng, Fan Yang, Xiang-Bin Wang
Quantum advantage is the core of quantum computing. Grover's search algorithm is the only quantum algorithm with proven advantage to any possible classical search algorithm. Howeve…
quant-ph2023
Modifying -qubit controlled- gate to be -qubit Toffoli gate
Jian Leng, Fan Yang, Xiang-Bin Wang
The decomposition for controlled- gate in [Phys. Rev. A, 87, 062318 (2013)] has a shallow circuit depth with no ancilla. Here we modify this decomposition to decompose…
quant-ph2023
Improving D2p Grover's algorithm to reach performance upper bound under phase noise
Jian Leng, Fan Yang, Xiang-Bin Wang
The original Grover's algorithm has a success probability to output a correct solution, while deterministic Grover's algorithms improve the success probability to 100%. However, th…