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• W3147123103 abstract "Significant efforts are being directed toward developing a quantum simulator capable of solving combinatorial optimization problems. The challenges are Hamiltonian programming in terms of high-dimensional qubit connectivities and large-scale implementations. Here, we report a quantum simulation demonstration of Ising Hamiltonians with up to N=22 spins mapped on various Cayley-tree graphs. For this, we use three-dimensional arrangements of Rydberg single atoms arranged in such a way that their Rydberg atoms and blockaded strong couplings respectively represent the vertices and edges of each graph. Three different Cayley-tree graphs of Z=3 neighbors and of up to S=4 shells are constructed, and their many-body ground states and Néel's order formations are experimentally probed. The antiferromagnetic phase in regular Cayley trees and frustrated competing ground states in a dual-center Cayley tree are directly observed, demonstrating the possibilities of high-dimensional qubit connections in quantum simulators.Received 17 November 2020Accepted 17 March 2021DOI:https://doi.org/10.1103/PhysRevResearch.3.013286Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasQuantum controlQuantum simulationPhysical SystemsRydberg atoms & moleculesQuantum Information" @default.
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• W3147123103 date "2021-03-29" @default.
• W3147123103 modified "2023-10-16" @default.
• W3147123103 title "Quantum simulation of Cayley-tree Ising Hamiltonians with three-dimensional Rydberg atoms" @default.
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• W3147123103 doi "https://doi.org/10.1103/physrevresearch.3.013286" @default.
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