量子退火的量子联想记忆
Associative memory on qutrits by means of quantum annealing
摘要:
我们研究了三能级量子元的联想记忆功能,量子元由自旋S = 1表示。将模式记录到量子态的叠加态中并回忆它们是通过哈密顿量随时间的绝热变化来进行的。为了平衡在不同叠加态下发现系统的概率,提出了一种辅助哈密顿量,该辅助哈密顿量在演化结束时关闭。对两个和三个量子比特进行了模拟,并显示了用量子比特替换量子比特后存储容量的增加。
英文摘要:
We study the functioning of associative memory on three-level quantum elements, qutrites represented by spins with S = 1. The recording of patterns into the superposition of quantum states and their recall are carried out by adiabatic variation of the Hamiltonian with time. To equalize the probabilities of finding the system in different states of superposition, an auxiliary Hamiltonian is proposed, which is turned off at the end of evolution. Simulations were performed on two and three qutrits and an increase in the memory capacity after replacing qubits with qutrits is shown.
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