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Dark path holonomic qudit computation
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Quantum Matter Theory. (Quantum information theory)ORCID iD: 0000-0002-4669-1818
2022 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 106, no 6, article id 062402Article in journal (Refereed) Published
Abstract [en]

Nonadiabatic holonomic quantum computation is a method used to implement high-speed quantum gates with non-Abelian geometric phases associated with paths in state space. Due to their noise tolerance, these phases can be used to construct error resilient quantum gates. We extend the holonomic dark path qubit scheme in [M.-Z. Ai et al., Fundam. Res. 2, 661 (2022)] to qudits. Specifically, we demonstrate one- and two-qudit universality by using the dark path technique. Explicit qutrit (d = 3) gates are demonstrated and the scaling of the number of loops with the dimension d is addressed. This scaling is linear and we show how any diagonal qudit gate can be implemented efficiently in any dimension.

Place, publisher, year, edition, pages
American Physical Society, 2022. Vol. 106, no 6, article id 062402
Keywords [en]
Qudit computation, quantum holonomy, reverse engineering
National Category
Atom and Molecular Physics and Optics
Research subject
Physics with spec. in Atomic, Molecular and Condensed Matter Physics
Identifiers
URN: urn:nbn:se:uu:diva-481238DOI: 10.1103/PhysRevA.106.062402ISI: 000920582400001OAI: oai:DiVA.org:uu-481238DiVA, id: diva2:1685985
Funder
Swedish Research Council, 2017-03832Available from: 2022-08-08 Created: 2022-08-08 Last updated: 2023-09-21Bibliographically approved

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Publisher's full textarxiv:2208.03057

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André, TomasSjöqvist, Erik

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