Analysis of the action of conventional trapped-ion entangling gates in qudit space
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arXiv
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| Autores principales: | , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866908852255981568 |
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| author | Kamenskikh, Pavel Semenin, Nikita Zalivako, Ilia Smirnov, Vasiliy Semerikov, Ilya Khabarova, Ksenia Kolachevsky, Nikolay |
| author_facet | Kamenskikh, Pavel Semenin, Nikita Zalivako, Ilia Smirnov, Vasiliy Semerikov, Ilya Khabarova, Ksenia Kolachevsky, Nikolay |
| contents | Qudits, or multi-level quantum information carriers, present a promising path for scaling quantum computers. However, their use introduces increased complexity in quantum logic, necessitating careful control of relative phases between different qudit levels. In trapped-ion systems, entangling operations accumulate phases on specific levels that are no longer global, unlike in qubit architectures. Furthermore, the structure of multi-level gates becomes increasingly intricate with higher-dimensional Hilbert spaces. This work explores the theory of these additional entangling and non-entangling phases, accumulated in Mølmer--Sørensen and Light-shift gates. We propose methods to actively compensate for these phases, enhance gate robustness against parameter fluctuations, and simplify native gates for more efficient circuit decomposition. Our results pave the way toward the practical and scalable implementation of qudit-based quantum processors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_21886 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analysis of the action of conventional trapped-ion entangling gates in qudit space Kamenskikh, Pavel Semenin, Nikita Zalivako, Ilia Smirnov, Vasiliy Semerikov, Ilya Khabarova, Ksenia Kolachevsky, Nikolay Quantum Physics Atomic Physics Qudits, or multi-level quantum information carriers, present a promising path for scaling quantum computers. However, their use introduces increased complexity in quantum logic, necessitating careful control of relative phases between different qudit levels. In trapped-ion systems, entangling operations accumulate phases on specific levels that are no longer global, unlike in qubit architectures. Furthermore, the structure of multi-level gates becomes increasingly intricate with higher-dimensional Hilbert spaces. This work explores the theory of these additional entangling and non-entangling phases, accumulated in Mølmer--Sørensen and Light-shift gates. We propose methods to actively compensate for these phases, enhance gate robustness against parameter fluctuations, and simplify native gates for more efficient circuit decomposition. Our results pave the way toward the practical and scalable implementation of qudit-based quantum processors. |
| title | Analysis of the action of conventional trapped-ion entangling gates in qudit space |
| topic | Quantum Physics Atomic Physics |
| url | https://arxiv.org/abs/2602.21886 |