1. Quantum circuits for calculating the squared sum of the inner product of quantum states and its application.
- Author
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Li, Panchi, Guo, Jiahui, Wang, Bing, and Hao, Mengqi
- Subjects
- *
QUANTUM gates , *QUANTUM states , *IMAGE registration , *QUANTUM information science - Abstract
In this paper, we propose a quantum circuit for calculating the squared sum of the inner product of quantum states. The circuit is designed by the multi-qubits controlled-swapping gates, in which the initial state of each control qubit is | 0 〉 and they are in the equilibrium superposition state after passing through some Hadamard gates. Then, according to the control rules, each basis state in the superposition state controls the corresponding quantum states pair to swap. Finally, the Hadamard gates are applied to the control qubits again, and the squared sum of the inner product of many pairs of quantum states can be obtained simultaneously by measuring only one control qubit. We investigate the application of this method in quantum images matching on a classical computer, and the experimental results verify the correctness of the proposed method. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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