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Single-layer digitized-counterdiabatic quantum optimization for p-spin models

delete2024-10-14
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PRE
AI
F
Fei Zhou
F
F. Albarrán-Arriagada
X
Xi Chen
E
E. Solano
N
Narendra N. Hegade *
H
He-Liang Huang
DOI:10.1088/2058-9565/ad7880delete
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Abstract

Abstract

En 中文
Quantum computing holds the potential for quantum advantage in optimization problems, which requires advances in quantum algorithms and hardware specifications. Adiabatic quantum optimization is conceptually a valid solution that suffers from limited hardware coherence times. In this sense, counterdiabatic quantum protocols provide a shortcut to this process, steering the system along its ground state with fast-changing Hamiltonian. In this work, we take full advantage of a digitized-counterdiabatic quantum optimization algorithm to find an optimal solution of the p-spin model up to four-local interactions. We choose a suitable scheduling function and initial Hamiltonian such that a single-layer quantum circuit suffices to produce a good ground-state overlap. By further optimizing parameters using variational methods, we solve with unit accuracy two-spin, three-spin, and four-spin problems for 100%, 93%, and 83% of instances, respectively. As a particular case of the latter, we also solve factorization problems involving 5, 9, and 12 qubits. Due to the low computational overhead, our compact approach may become a valuable tool towards quantum advantage in the NISQ era.
Keywords:
quantum computation
adiabatic quantum optimization
counterdiabatic protocols
quantum simulation
quantum algorithms

Journal

Quantum Science and Technology cover
Quantum Science and Technology
IF:
5
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1.4K
Citations:
5.1K

Organization

C
consejo superior de investigaciones cientificas (csic)
Scholars:
8.8W
Papers: 8.5W
Citations: 125
C
U
Universidad de Santiago de Chile
Scholars:
4.1K
Papers: 3.4K
Citations: 3.6K
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