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This research introduces a scalable framework for modeling many-body interactions in surface-code quantum processors, effectively mapping chip layouts to exact effective Hamiltonians. By analyzing high-order Pauli string couplings on architectures like Google's Sycamore lattice, the study identifies critical operational regimes where residual crosstalk can invert interaction hierarchies and induce topological ordering. These findings provide a rigorous guide for optimizing next-generation quantum hardware fidelity and investigating emergent many-body phenomena in surface-code systems.
Surface-Code Hardware Hamiltonian
arXiv:2507.06201v3 Announce Type: replace Abstract: We present a scalable framework for accurately modeling many-body interactions in surface-code quantum processor units (QPUs). Combining a concise diagrammatic formalism with high-precision numerical methods, our approach efficiently evaluates high-order, long-range Pauli string couplings and maps complete chip layouts onto exact effective Hamiltonians. Applying this method to surface-code architectures, such as Google's Sycamore lattice, we identify three distinct operational regimes: computationally stable, error-dominated, and hierarchy-inverted. Our analysis reveals that even modest increases in residual qubit-qubit crosstalk can invert the interaction hierarchy, driving the system from a computationally favorable phase into a topologically ordered regime. This framework thus serves as a powerful guide for optimizing next-generation high-fidelity surface-code hardware and provides a pathway to investigate emergent quantum many-body phenomena.
Abstract:We present a scalable framework for accurately modeling many-body interactions in surface-code quantum processor units (QPUs). Combining a concise diagrammatic formalism with high-precision numerical methods, our approach efficiently evaluates high-order, long-range Pauli string couplings and maps complete chip layouts onto exact effective Hamiltonians. Applying this method to surface-code architectures, such as Google's Sycamore lattice, we identify three distinct operational regimes: computationally stable, error-dominated, and hierarchy-inverted. Our analysis reveals that even modest increases in residual qubit-qubit crosstalk can invert the interaction hierarchy, driving the system from a computationally favorable phase into a topologically ordered regime. This framework thus serves as a powerful guide for optimizing next-generation high-fidelity surface-code hardware and provides a pathway to investigate emergent quantum many-body phenomena.
Quantum Physics (quant-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
arXiv:2507.06201 [quant-ph]
(or arXiv:2507.06201v3 [quant-ph] for this version)
https://doi.org/10.1038/s41534-026-01241-y DOI(s) linking to related resources
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