Qudits and High-Dimensional Quantum Computing

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…

• NS
  National Science Foundation

  Awards: 1839191-ECCS, 1839191
• GO
  Government of Alberta
• NS
  Natural Sciences and Engineering Research Council of Canada
• DO
  Division of Electrical, Communications and Cyber Systems