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Experimental Demonstration of Fermionic QAOA with One-Dimensional Cyclic Driver Hamiltonian

Quantum Physics 2023-12-11 v1

Abstract

Quantum approximate optimization algorithm (QAOA) has attracted much attention as an algorithm that has the potential to efficiently solve combinatorial optimization problems. Among them, a fermionic QAOA (FQAOA) for solving constrained optimization problems has been developed [Yoshioka, Sasada, Nakano, and Fujii, Phys. Rev. Research vol. 5, 023071, 2023]. In this algorithm, the constraints are essentially imposed as fermion number conservation at arbitrary approximation level. We take the portfolio optimization problem as an application example and propose a new driver Hamiltonian on an one-dimensional cyclic lattice. Our FQAOA with the new driver Hamiltonian reduce the number of gate operations in quantum circuits. Experiments on a trapped-ion quantum computer using 16 qubits on Amazon Braket demonstrates that the proposed driver Hamiltonian effectively suppresses noise effects compared to the previous FQAOA.

Keywords

Cite

@article{arxiv.2312.04710,
  title  = {Experimental Demonstration of Fermionic QAOA with One-Dimensional Cyclic Driver Hamiltonian},
  author = {Takuya Yoshioka and Keita Sasada and Yuichiro Nakano and Keisuke Fujii},
  journal= {arXiv preprint arXiv:2312.04710},
  year   = {2023}
}

Comments

published in 2023 IEEE International Conference on Quantum Computing and Engineering (QCE)