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Abstract Controlling and programming quantum devices to process quantum information by the unit of quantum dit, i.e., qudit, provides the possibilities for noise-resilient quantum communications, delicate quantum molecular simulations, and efficient quantum computations, showing great potential to enhance the capabilities of qubit-based quantum technologies. Here, we report a programmable qudit-based quantum processor in silicon-photonic integrated circuits and demonstrate its enhancement of quantum computational parallelism. The processor monolithically integrates all the key functionalities and capabilities of initialisation, manipulation, and measurement of the two quantum quart (ququart) states and multi-value quantum-controlled logic gates with high-level fidelities. By reprogramming the configuration of the processor, we implemented the most basic quantum Fourier transform algorithms, all in quaternary, to benchmark the enhancement of quantum parallelism using qudits, which include generalised Deutsch-Jozsa and Bernstein-Vazirani algorithms, quaternary phase estimation and fast factorization algorithms. The monolithic integration and high programmability have allowed the implementations of more than one million high-fidelity preparations, operations and projections of qudit states in the processor. Our work shows an integrated photonic quantum technology for qudit-based quantum computing with enhanced capacity, accuracy, and efficiency, which could lead to the acceleration of building a large-scale quantum computer.
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@article{chi2022programmable,
title = {A programmable qudit-based quantum processor},
author = {Yulin Chi and Jieshan Huang and Zhanchuan Zhang and Jun Mao and Zinan Zhou and Xiaojiong Chen and Chonghao Zhai and Jueming Bao and Tianxiang Dai and Huihong Yuan and Ming Zhang and Daoxin Dai and Bo Tang and Yan Yang and Zhihua Li and Yunhong Ding and Leif K. Oxenløwe and Mark G. Thompson and Jeremy L. O’Brien and Yan Li and Qihuang Gong and Jianwei Wang},
year = {2022},
journal = {Nature Communications},
publisher = {Springer Science and Business Media LLC},
volume = {13},
number = {1},
issn = {2041-1723},
articleno = {1166},
doi = {10.1038/s41467-022-28767-x},
}