2020/08/31 by Yuchen Wang, Zixuan Hu, Barry C. Sanders +1 · 7 citations
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.3389/fphy.2020.589504
published as Front. Phys., 8, 479. 10.3389/fphy.2020.589504 (2020) · This is a review article. This version is the final published version
arxiv created 2020/11/11 · arxiv updated 2020/11/12
Qudit is a multi-level computational unit alternative to the conventional 2-level qubit. Compared to qubit, qudit provides a larger state space to store and process information, and thus can provide reduction of the circuit complexity, simplification of the experimental setup and enhancement of the algorithm efficiency. This review provides an overview of qudit-based quantum computing covering a variety of topics ranging from circuit building, algorithm design, to experimental methods. We first discuss the qudit gate universality and a variety of qudit gates including the pi/8 gate, the SWAP gate, and the multi-level-controlled gate. We then present the qudit version of several representative quantum algorithms including the Deutsch-Jozsa algorithm, the quantum Fourier transform, and the phase estimation algorithm. Finally we discuss various physical realizations for qudit computation such as the photonic platform, iron trap, and nuclear magnetic resonance.