Entanglement as a resource in adiabatic quantum optimization
Entanglement as a resource in adiabatic quantum optimization
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纠缠作为绝热量子优化中的资源
DOI：
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发表时间：
2015
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通讯作者：
M. Troyer
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作者：
B. Bauer;Lei Wang;Iztok Pivzorn;M. Troyer
我们通过对量子系统的实时演化进行近似模拟，同时限制纠缠量，探索纠缠在绝热量子优化中的作用。为了经典地模拟具有有限纠缠量的系统的时间演化，我们使用矩阵积态和投影纠缠对态来表示量子态。我们表明，随着状态中纠缠量的增加，在平面或非平面二维图上找到伊辛自旋玻璃基态的概率迅速增加。此外，我们提出复杂时间演化作为改进模拟绝热演化和模拟量子退火器热冷却效果的一种方法。
We explore the role of entanglement in adiabatic quantum optimization by performing approximate simulations of the real-time evolution of a quantum system while limiting the amount of entanglement. To classically simulate the time evolution of the system with a limited amount of entanglement, we represent the quantum state using matrix-product states and projected entangled-pair states. We show that the probability of finding the ground state of an Ising spin glass on either a planar or non-planar two-dimensional graph increases rapidly as the amount of entanglement in the state is increased. Furthermore, we propose evolution in complex time as a way to improve simulated adiabatic evolution and mimic the effects of thermal cooling of the quantum annealer.