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Quantum Optimization
Programming higher-order interactions of Rydberg atoms
arXiv
Authors: Andrew Byun, Seokho Jeong, Jaewook Ahn
Year
2024
Paper ID
65864
Status
Preprint
Abstract Read
~2 min
Abstract Words
77
Citations
N/A
Abstract
Higher-order interactions in spin-based Hamiltonians are crucial in addressing numerous fundamentally significant physical problems. In this work, Rydberg-atom graph gadgets are introduced to effectively program K-th order interactions within a Rydberg atom system. This approach facilitates the determination of the ground states of an Ising-type Hamiltonian, encoded to solve higher-order unconstrained optimization problems. A favorable scaling behavior, O\(NK\), is expected in terms of the number of atoms required for N-vertex hypergraph optimization problems.
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- This paper contributes to the Quantum Optimization research area in the Quantum Articles archive.
- It adds a 2024 reference point for readers tracking recent quantum research.
- Higher-order interactions in spin-based Hamiltonians are crucial in addressing numerous fundamentally significant physical problems.
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