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...

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Published inFrontiers in physics Vol. 8
Main Authors Wang, Yuchen, Hu, Zixuan, Sanders, Barry C., Kais, Sabre
Format Journal Article
LanguageEnglish
Published Frontiers Media S.A 10.11.2020
Subjects
quantum computing
quantum information
qudit algorithm
qudit gates
qudit implementation
Online AccessGet full text
ISSN2296-424X
2296-424X
DOI10.3389/fphy.2020.589504

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Abstract 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.
AbstractList 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.
Author Kais, Sabre
Wang, Yuchen
Sanders, Barry C.
Hu, Zixuan
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  givenname: Barry C.
  surname: Sanders
  fullname: Sanders, Barry C.
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  givenname: Sabre
  surname: Kais
  fullname: Kais, Sabre
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Snippet 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...
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SubjectTerms quantum computing
quantum information
qudit algorithm
qudit gates
qudit implementation
Title Qudits and High-Dimensional Quantum Computing
URI https://doaj.org/article/8c67f6055ade4f949d0efaed97827382
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