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arXiv · 2512.21385

Hybrid digital-analog protocols for simulating quantum multi-body interactions

Or Katz·Alexander Schuckert·Tianyi Wang·Eleanor Crane·Alexey V. Gorshkov·Marko Cetina
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Abstract

While quantum simulators promise to explore quantum many-body physics beyond classical computation, their capabilities are limited by the available native interactions in the hardware. On many platforms, accessible Hamiltonians are largely restricted to one- and two-body interactions, limiting access to multi-body Hamiltonians and to systems governed by simultaneous, non-commuting interaction terms that are central to condensed matter, quantum chemistry, and high-energy physics. We introduce and experimentally demonstrate a hybrid digital-analog protocol that overcomes these limitations by embedding analog evolution between shallow entangling-gate layers. This method produces effective Hamiltonians with simultaneous non-commuting three- and four-body interactions that are generated non-perturbatively and without Trotter error -- capabilities not practically attainable on near-term hardware using purely digital or purely analog schemes. We implement our scheme on a trapped-ion quantum processor and use it to realize a topological spin chain exhibiting prethermal strong zero modes persisting at high temperature, as well as models featuring three- and four-body interactions. Our hardware-agnostic and scalable method opens new routes to realizing complex many-body physics across quantum platforms.

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Or Katz, Alexander Schuckert, Tianyi Wang, Eleanor Crane, Alexey V. Gorshkov, Marko Cetina. 2025-12-24. Hybrid digital-analog protocols for simulating quantum multi-body interactions. https://arxiv.org/abs/2512.21385

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