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- W3138964495 abstract "The search algorithm is one of the most widely studied quantum algorithms, while its complete implementation in experiments is difficult and only a few experimental works have been reported. Based on Grover's algorithm, we propose a scheme of quantum search using nonorthogonal states and experimentally implement the entire scheme in a linear optical system. With this scheme, a large-sized search space can be encoded using only one qubit and the search probability of the target state is $100%$ in theory. The experimental setup and the operations for implementing this scheme are extremely simple. In our linear optical experiment, different target states are successfully found from a database of nine elements with all fidelities $>0.99$, the state evolution from the initial state to a target state is studied, and the medium states and the final state are shown in a Bloch sphere. The scheme is general and can be easily realized in a wide range of quantum systems. This work may pave an avenue to implement quantum algorithms with nonorthogonal states." @default.
- W3138964495 created "2021-03-29" @default.
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- W3138964495 date "2021-03-15" @default.
- W3138964495 modified "2023-10-18" @default.
- W3138964495 title "Implementing a quantum search algorithm with nonorthogonal states" @default.
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- W3138964495 doi "https://doi.org/10.1103/physreva.103.032413" @default.
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