A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices
Sayed Pouria Talebi, Clive Cheong Took, and Danilo P. Mandic
本文考虑了设计用于训练量子学习机器的适应和优化技术的问题。 为此,quaternions的除法代数用于导出一个用于表示量子比特的计算和测量操作的有效模型。 反过来,派生模型作为在主要量子学习单元上制定自适应学习问题的基础,从而建立类似于经典方法中神经元的量子信息处理单元。 然后,利用现代HR微积分,开发了一个用于学习量子计算机的综合培训框架。 准值模型适应数学可操作性和性能标准的建立,如收敛条件。
This article considers the problem of designing adaption and optimisation techniques for training quantum learning machines. To this end, the division algebra of quaternions is used to derive an effective model for representing computation and measurement operations on qubits. In turn, the derived model, serves as the foundation for formulating an adaptive learning problem on principal quantum learning units, thereby establishing quantum information processing units akin to that of neurons in cl...