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Low-cost Fredkin gate with auxiliary space
Citation
Liu, W.-Q., Wei, H.-R., & Kwek, L.-C. (2020). Low-cost Fredkin gate with auxiliary space. Physical Review Applied, 14(5), Article 054057. https://doi.org/10.1103/PhysRevApplied.14.054057
Abstract
Effective quantum information processing is tantamount in part to minimization of the quantum resources needed by quantum logic gates. Here, we propose an optimization of an n-controlled-qubit Fredkin gate with a maximum of 2n + 1 two-qubit gates and 2n single-qudit gates by exploiting auxiliary Hilbert spaces. The number of logic gates required improves on earlier results on simulating arbitrary n-qubit Fredkin gates. In particular, the optimal result for a one-controlled-qubit Fredkin gate (which requires three qutrit-qubit partial-swap gates) breaks the theoretical nonconstructive lower bound of five two-qubit gates. Furthermore, using an additional spatial-mode degree of freedom, we design a possible architecture to implement a polarization-encoded Fredkin gate with linear optical elements.
Date Issued
2020
DOI
10.1103/PhysRevApplied.14.054057
Grant ID
National Natural Science Foundation of China (Grant no. 11604012)
Fundamental Research Funds for the Central Universities (Grant no. FRF-BR-17-004B)
Fundamental Research Funds for the Central Universities (Grant no. 230201506500024)
Funding Agency
National Natural Science Foundation of China
Ministry of Education, Singapore
National Research Foundation, Singapore
China Scholarship Council, China