Quantum gates on hybrid qudits

Jamil Daboul, Xiaoguang Wang, Barry C. Sanders

Research output: Contribution to journalArticlepeer-review

41 Citations (Scopus)

Abstract

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
Volume36
Issue number10
DOIs
Publication statusPublished - 2003

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