Simulations

The video shows the profile of the probability density of a discrete quantum walk for 3 (three) initial conditions. Note that for each initial condition the quantum walker exhibits a characteristic behavior. This reveals important information about this type of system: its probability density depends closely on the initial condition (in the coin space)

Often, who are starting research in Quantum Walks imagine that the interference process happens between the base states "up" and "down" of the quantum walker. However, these states are orthogonal, ie, there is no interference between them. In this simulation we show that the orthogonality between the vectors of the base of the quantum coin space does not allow interference between the two states. That is, the dynamics of the state "up" and "down" are "independent"

We use a symmetric initial state. spin up - black line; spin down - red.