Non-Perturbative Topological Gadgets for Many-Body Coupling
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915443048972288 |
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| author | Headley, David Chancellor, Nicholas |
| author_facet | Headley, David Chancellor, Nicholas |
| contents | Continuous-time quantum hardware implementations generally lack the native capability to implement high-order terms that would facilitate efficient compilation of quantum algorithms. This limitation has, in part, motivated the development of perturbative gadgets -- multi-qubit constructions used to effect a desired Hamiltonian using engineered low-energy subspaces of a larger system constructed using simpler, usually two-body, primitives. In this work, we demonstrate how a class of non-perturbative gadgets can produce high-order multi-body interactions by taking advantage of the odd-even properties of topological defect subspaces. The simplest example is based on domain-wall defects forming an effective Ising spin-chain based on three-body coupling with linear connectivity, alongside three-, or five-body driving terms depending on the intended use. Although this will be the main focus of the paper due to conceptual simplicity, there exist systems constructed with only two-body couplings where the boundaries determine whether there are an odd or even number of defects, namely ice-like systems which may yield more complex gadget-like constructions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05323 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-Perturbative Topological Gadgets for Many-Body Coupling Headley, David Chancellor, Nicholas Quantum Physics Continuous-time quantum hardware implementations generally lack the native capability to implement high-order terms that would facilitate efficient compilation of quantum algorithms. This limitation has, in part, motivated the development of perturbative gadgets -- multi-qubit constructions used to effect a desired Hamiltonian using engineered low-energy subspaces of a larger system constructed using simpler, usually two-body, primitives. In this work, we demonstrate how a class of non-perturbative gadgets can produce high-order multi-body interactions by taking advantage of the odd-even properties of topological defect subspaces. The simplest example is based on domain-wall defects forming an effective Ising spin-chain based on three-body coupling with linear connectivity, alongside three-, or five-body driving terms depending on the intended use. Although this will be the main focus of the paper due to conceptual simplicity, there exist systems constructed with only two-body couplings where the boundaries determine whether there are an odd or even number of defects, namely ice-like systems which may yield more complex gadget-like constructions. |
| title | Non-Perturbative Topological Gadgets for Many-Body Coupling |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2506.05323 |