Random_Unitary.h

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

Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.

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 "common.h"
#include "U3.h"
#include "CNOT.h"
#include "matrix.h"
#include "logging.h"


Matrix few_CNOT_unitary( int qbit_num, int cnot_num);



class Random_Unitary : public logging {


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 );


};