Realization of qudits in coupled potential wells

Ariel Landau, Yakir Aharonov, Eliahu Cohen

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Quantum computation strongly relies on the realization, manipulation, and control of qubits. A central method for realizing qubits is by creating a double-well potential system with a significant gap between the first two eigenvalues and the rest. In this work, we first revisit the theoretical grounds underlying the double-well qubit dynamics, then proceed to suggest novel extensions of these principles to a triple-well qutrit with periodic boundary conditions, followed by a general d-well analysis of qudits. These analyses are based on representations of the special unitary groups SU(d) which expose the systems' symmetry and employ them for performing computations. We conclude with a few notes on coherence and scalability of d-well systems.

Original languageEnglish
Article number1650029
JournalInternational Journal of Quantum Information
Volume14
Issue number5
DOIs
StatePublished - 1 Aug 2016
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2016 World Scientific Publishing Company.

Funding

We thank Boaz Tamir for many helpful discussions. Y. Aharonov acknowledges support from the Israel Science Foundation (Grant No. 1311/14), the ICORE Excellence Center 'Circle of Light' and the German-Israeli Project Cooperation (DIP) for support. E. Cohen was supported by ERC AdG NLST.

FundersFunder number
DIP
German-Israeli Project Cooperation
European Research Council
Israel Science Foundation1311/14

    Keywords

    • Qudits
    • potential wells
    • quantum gates
    • special unitary group

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