Generate the initial state of the quantum walk.
Parameters: | initState (array) – an \(n\times 2\) array, containing the initial state of the quantum walker in the format [[j1,amp1],[j2,amp2],...]. |
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Returns: | : this creates a PETSc vector containing the initial state, accessed via the attribute Graph.ps0. |
Return type: | petsc4py.PETSc.Vec() |
Example
For a CTQW initially located in a superposition of nodes 1 and 2, e.g. \(\left|\psi(0)\right\rangle = \frac{1}{\sqrt{2}}\left|1\right\rangle - \frac{1}{\sqrt{2}} \left|2\right\rangle\), the initial state would be created like so:
>>> import numpy as np
>>> init_state = [[1,1./np.sqrt(2.)], [2,-1./np.sqrt(2.)]]
>>> walk.createInitState(init_state)