Random_Unitary.h

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/*
Created on Fri Jun 26 14:13:26 2020
Copyright (C) 2020 Peter Rakyta, Ph.D.

This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.

This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
GNU General Public License for more details.

You should have received a copy of the GNU General Public License
along with this program.  If not, see http://www.gnu.org/licenses/.

@author: Peter Rakyta, Ph.D.
*/
#pragma once
#include <map>
#include <cstdlib>
#include <time.h>
#include <ctime>
#include "qgd/common.h"
#include "qgd/U3.h"
#include "qgd/CNOT.h"
#include "qgd/matrix.h"



Matrix few_CNOT_unitary( int qbit_num, int cnot_num);



class Random_Unitary {


public:
    int dim;



public:

Random_Unitary( int dim_in );


Matrix Construct_Unitary_Matrix();

Matrix Construct_Unitary_Matrix( double* vartheta, double* varphi, double* varkappa );


int  convert_indexes( int varalpha, int varbeta );

Matrix Construct_Unitary_Matrix( double* parameters );

Matrix Omega(int varalpha, int varbeta, QGD_Complex16 x, QGD_Complex16 y );


Matrix M( int varalpha, int varbeta, QGD_Complex16 s, QGD_Complex16 t );

Matrix Q(  QGD_Complex16 u1, QGD_Complex16 u2 );


Matrix E_alpha_beta( int varalpha, int varbeta );


Matrix I_alpha_beta( int varalpha, int varbeta );

double gamma();

double kronecker( int a, int b );


};