论文标题
量子有限自动机和箭袋代数
Quantum Finite Automata and Quiver Algebras
论文作者
论文摘要
我们在量子有限自动机中找到了[JL21]和[JL22]的想法和结果的应用。我们使用近环的代数概念通过多次测量来重新重新制定量子有限自动机。这为量子计算和深度学习提供了统一的理解。当近环来自箭袋时，我们有一个具有度量计算机的模量空间，可以通过梯度下降来优化。
We find an application in quantum finite automata for the ideas and results of [JL21] and [JL22]. We reformulate quantum finite automata with multiple-time measurements using the algebraic notion of near-ring. This gives a unified understanding towards quantum computing and deep learning. When the near-ring comes from a quiver, we have a nice moduli space of computing machines with metric that can be optimized by gradient descent.
