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Quantum Simulation

Digital-Analog Quantum Computing with Qudits

arXiv

Authors: Alatz Alvarez-Ahedo, Mikel Garcia de Andoin, Mikel Sanz

Year

2025

Paper ID

5845

Status

Preprint

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~2 min

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Abstract

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\(d⁴ n²\) analog blocks. The power of this approach is illustrated by the simulation of many-body qudit spin Hamiltonians including magnetic quadrupolar terms.

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Digital-analog quantum computing with two-level systems is a computational paradigm that combines an analog Hamiltonian with single-qubit gates to achieve universality.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.17697 [2] arXiv https://arxiv.org/abs/2512.17697 [3] Publisher https://arxiv.org/abs/2512.17697

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