How a particle is moving on a one dimensional lattice if we use a Discrete Quantum Walk?

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Franz Plochberger

Sanja,

Two details please:

a) How can you reach a one dimensional moving particle?

b) What is a "Discrete Quantum Walk" ?

Theoretically and genuine verbal are both the same!

Thanks for any explaining answer!

Bilal Cantürk

in my opinion, you can use markov chain concepts. by this concepts you are now dealing with the transitive probabilities from one step to another. for a fixed time t=t0, your system states on a probability field , such that each probability of the states is determined by your eigenfunctions, and then you wish to know the probability of the system being the next step (or state) at time t=t1 where t1>t0.