GOAT based Implementation of quantum gates in Spin systems
email : bilalriaz at live dot com
Gradients are computed analytically, whereas Hessians are approximated using MATLAB's built-in (fminunc) BFGS type optimization .
Structure of Code is described below:
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main.m is the main script, which initilizes global stucture self, which holds all the variables of optimization, it acts as base for all the calculations carried out in the optimization process.
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Evolution.m is the vectorized dynamical evolution of system and dynamical gradients, which solved using Runge-Kutta type integrator, it is invoked from Computations.m
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Computations.m converts vectorized evolution to matrices and returns unitary evolution operator along with its derivatives with respect to control parameters.
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Cost.m uses outputs from computations.m to compute infidelity and gradients
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outfun.m is ouput function to store infidelity and state.
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Remaining functions are used to plot and analyze results.
Here is pseudocode of our implementation:
This implementation is inspired from: