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Quantum annealing of Cayley-tree Ising spins at small scales
- Source :
- Phys. Rev. Research 3, 013286 (2021)
- Publication Year :
- 2020
-
Abstract
- Significant efforts are being directed towards developing a quantum annealer capable of solving combinatorial optimization problems. The challenges are Hamiltonian programming and large-scale implementations. Here we report quantum annealing demonstration of Ising Hamiltonians programmed with up to $N=22$ spins mapped on various Cayley tree graphs. Experiments are performed with a Rydberg-atom quantum simulator, in which rubidium single atoms are arranged in three dimensional space in such a way that their Rydberg atoms and blockaded strong couplings respectively represent the nodes 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 ground-state phases and N\'{e}el's order formations are probed. In good agreement with model calculations, the anti-ferromagnetic phase in regular Cayley trees and frustrated competing ground-states in a dual-center Cayley tree are directly observed. This demonstrates the possibilities of high-dimensional qubit connection programming in quantum simulators.<br />Comment: 7 pages,5 figures
- Subjects :
- Quantum Physics
Physics - Atomic Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. Research 3, 013286 (2021)
- Publication Type :
- Report
- Accession number :
- edsarx.2011.01653
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevResearch.3.013286