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arXiv 2209.00201quant-phcond-mat.quant-gas
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量子统计对原子量子退火计算能力的影响

Effect of Quantum Statistics on Computational Power of Atomic Quantum Annealers

Yuchen Luo, Xiaopeng Li

摘要:

量子粒子统计从根本上控制粒子相互作用的方式,并在确定系统在低温下的性质方面起着至关重要的作用。在这里,我们研究量子统计如何影响量子退火的计算能力。我们提出了一个退火哈密顿描述量子粒子在正方形晶格上移动,并比较两个不同的组件:无自旋费米子和硬核玻色子之间的原子量子退火的计算性能。此外,我们以传统横向场量子涨落驱动的伊辛量子退火机为基线。我们的量子退火机解决组合优化问题的潜力证明随机3-正则图划分。我们发现,玻色子量子退火优于费米的情况下。玻色量子退火器的优越性能归因于更大的激发能隙和随之而来的更平滑的瞬时量子基态的绝热变换。沿着我们的退火时间表,玻色子量子退火器受玻璃阶数的影响较小,并且更有效地探索希尔伯特空间。我们的理论研究结果对利用光晶格中的里德伯原子构造原子量子退火器具有指导意义。

英文摘要:

Quantum particle statistics fundamentally controls the way particles interact, and plays an essential role in determining the properties of the system at low temperature. Here we study how the quantum statistics affects the computational power of quantum annealing. We propose an annealing Hamiltonian describing quantum particles moving on a square lattice and compare the computational performance of the atomic quantum annealers between two statistically-different components: spinless fermions and hard-core bosons. In addition, we take an Ising quantum annealer driven by traditional transverse-field quantum fluctuations as a baseline. The potential of our quantum annealers to solve combinatorial optimization problems is demonstrated on random 3-regular graph partitioning. We find that the bosonic quantum annealer outperforms the fermionic case. The superior performance of the bosonic quantum annealer is attributed to larger excitation gaps and the consequent smoother adiabatic transformation of its instantaneous quantum ground states. Along our annealing schedule, the bosonic quantum annealer is less affected by the glass order and explores the Hilbert space more efficiently. Our theoretical finding could shed light on constructing atomic quantum annealers using Rydberg atoms in optical lattices.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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