Redux is a design pattern for centralizing application state and unidirectional data flow in apps. It can be used with SwiftUI by making the store conform to ObservableObject and wrapping the state in a @Published property. The store is injected into views using environmentObject and views access the state to compute properties or directly in their body. Views don't directly access the store but derive properties from the state, keeping views cleaner and closer to React syntax. An example Movie app demonstrates a full Redux implementation in SwiftUI.