Digital-Analog Quantum Computing with Qudits
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908895459409920 |
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| author | Alvarez-Ahedo, Alatz de Andoin, Mikel Garcia Sanz, Mikel |
| author_facet | Alvarez-Ahedo, Alatz de Andoin, Mikel Garcia Sanz, Mikel |
| contents | Digital-analog quantum computing with two-level systems is a computational paradigm that combines an analog Hamiltonian with single-qubit gates to achieve universality. We extend this framework to $d$-level systems by conjugating an analog Hamiltonian block with single-qudit gates drawn from the Weyl-Heisenberg basis, which provides a natural set of operations for qudit architectures. More specifically, we propose a protocol to simulate arbitrary two-body Hamiltonians with at most $O(d^4 n^2)$ analog blocks. The power of this approach is illustrated by the simulation of many-body qudit spin Hamiltonians including magnetic quadrupolar terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_17697 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Digital-Analog Quantum Computing with Qudits Alvarez-Ahedo, Alatz de Andoin, Mikel Garcia Sanz, Mikel Quantum Physics Digital-analog quantum computing with two-level systems is a computational paradigm that combines an analog Hamiltonian with single-qubit gates to achieve universality. We extend this framework to $d$-level systems by conjugating an analog Hamiltonian block with single-qudit gates drawn from the Weyl-Heisenberg basis, which provides a natural set of operations for qudit architectures. More specifically, we propose a protocol to simulate arbitrary two-body Hamiltonians with at most $O(d^4 n^2)$ analog blocks. The power of this approach is illustrated by the simulation of many-body qudit spin Hamiltonians including magnetic quadrupolar terms. |
| title | Digital-Analog Quantum Computing with Qudits |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.17697 |