Quantum gates on hybrid qudits

Jamil Daboul; Xiaoguang Wang; Barry C. Sanders

doi:10.1088/0305-4470/36/10/312

Quantum gates on hybrid qudits

Jamil Daboul, Xiaoguang Wang, Barry C. Sanders

Research output: Contribution to journal › Article › peer-review

63 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 language	English
Pages (from-to)	2525-2536
Number of pages	12
Journal	Journal of physics A : mathematical and general
Volume	36
Issue number	10
DOIs	https://doi.org/10.1088/0305-4470/36/10/312
Publication status	Published - 2003

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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.",

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AB - 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.

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DO - 10.1088/0305-4470/36/10/312

M3 - Article

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VL - 36

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EP - 2536

JO - Journal of physics A : mathematical and general

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Quantum gates on hybrid qudits

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