Quantum gates on hybrid qudits

Jamil Daboul, Xiaoguang Wang, Barry C. Sanders

    Research output: Contribution to journalArticlepeer-review

    60 Citations (Scopus)


    We introduce quantum hybrid gates that act on qudits of different dimensions. In particular, we develop two representative two-qudit hybrid gates (SUM and SWAP) and many-qudit hybrid Toffoli and Fredkin gates. We apply the hybrid SUM gate to generating entanglement, and find that operator entanglement of the SUM gate is equal to the entanglement generated by it for certain initial states. We also show that the hybrid SUM gate acts as an automorphism on the Pauli group for two qudits of different dimensions under certain conditions. Finally, we describe a physical realization of these hybrid gates for spin systems.
    Original languageEnglish
    Pages (from-to)2525-2536
    Number of pages12
    JournalJournal of physics A : mathematical and general
    Issue number10
    Publication statusPublished - 2003


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