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

• URL: http://arxiv.org/abs/2512.21385v1
• Date: Wed, 24 Dec 2025 19:00:36 GMT
• Title: Hybrid digital-analog protocols for simulating quantum multi-body interactions
• Authors: Or Katz, Alexander Schuckert, Tianyi Wang, Eleanor Crane, Alexey V. Gorshkov, Marko Cetina,
• Abstract summary: Quantum simulators promise to explore quantum many-body physics beyond classical computation.<n>Their capabilities are limited by the available native interactions in the hardware.<n>We introduce and experimentally demonstrate a hybrid digital-analog protocol that overcomes these limitations.
• Score: 37.8143463294838
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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