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Optimal Synthesis of the Joint Unitary Evolutions

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Abstract

Joint unitary operations play a central role in quantum communication and computation. We give a quantum circuit for implementing a type of unconstructed useful joint unitary evolutions in terms of controlled-NOT (CNOT) gates and single-qubit rotations. Our synthesis is optimal and possible in experiment. Two CNOT gates and seven R x , R y or R z rotations are required for our synthesis, and the arbitrary parameter contained in the evolutions can be controlled by local Hamiltonian or external fields.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China under Grant No. 11604012, the Fundamental Research Funds for the Central Universities under Grant No. 230201506500024, and the National Natural Science Foundation of China under Grant Nos. 11674033, 11474026.

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Authors and Affiliations

  1. School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, 100083, China

    Hai-Rui Wei, Hui Hu & Dun Zhang

  2. NAAM-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Ahmed Alsaedi & Aatef Hobiny

  3. Department of Physics, Applied Optics Beijing Area Major Laboratory, Beijing Normal University, Beijing, 100875, China

    Fu-Guo Deng

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  1. Hai-Rui Wei
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  2. Ahmed Alsaedi
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  3. Aatef Hobiny
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  4. Fu-Guo Deng
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  5. Hui Hu
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Correspondence to Hai-Rui Wei.

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Wei, HR., Alsaedi, A., Hobiny, A. et al. Optimal Synthesis of the Joint Unitary Evolutions. Int J Theor Phys 57, 1942–1947 (2018). https://doi.org/10.1007/s10773-018-3719-1

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