Digital-Analog Quantum Computing with Qudits

• URL: http://arxiv.org/abs/2512.17697v1
• Date: Fri, 19 Dec 2025 15:33:08 GMT
• Title: Digital-Analog Quantum Computing with Qudits
• Authors: Alatz Alvarez-Ahedo, Mikel Garcia de Andoin, Mikel Sanz,
• Abstract summary: We propose a protocol to simulate arbitrary two-body Hamiltonians with at most $O(d4 n2)$ analog blocks.<n>The power of this approach is illustrated by the simulation of many-body qudit spin Hamiltonians including magnetic quadrupolar terms.
• Score: 0.19116784879310025
• License: http://creativecommons.org/licenses/by/4.0/
• 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 $O(d^4 n^2)$ analog blocks. The power of this approach is illustrated by the simulation of many-body qudit spin Hamiltonians including magnetic quadrupolar terms.

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