A class to cerate general random unitary matrix according to arXiv:1303:5904v1. More...

#include <Random_Unitary.h>

Public Member Functions
Matrix	Construct_Unitary_Matrix ()
	Call to create a random unitary. More...

Matrix	Construct_Unitary_Matrix (double vartheta, double varphi, double *varkappa)
	Generates a unitary matrix from parameters vartheta, varphi, varkappa according to arXiv:1303:5904v1. More...

Matrix	Construct_Unitary_Matrix (double *parameters)
	Generates a unitary matrix from parameters parameters according to arXiv:1303:5904v1. More...

int	convert_indexes (int varalpha, int varbeta)
	Calculates an index from paramaters varalpha and varbeta. More...

Matrix	E_alpha_beta (int varalpha, int varbeta)
	Implements matrix I below Eq (7) of arXiv:1303:5904v1. More...

double	gamma ()
	Implements Eq (11) of arXiv:1303:5904v1. More...

Matrix	I_alpha_beta (int varalpha, int varbeta)
	Implements matrix I below Eq (7) of arXiv:1303:5904v1. More...

double	kronecker (int a, int b)
	Kronecker delta. More...

Matrix	M (int varalpha, int varbeta, QGD_Complex16 s, QGD_Complex16 t)
	Implements Eq (8) of arXiv:1303:5904v1. More...

Matrix	Omega (int varalpha, int varbeta, QGD_Complex16 x, QGD_Complex16 y)
	Eq (6) of arXiv:1303:5904v1. More...

Matrix	Q (QGD_Complex16 u1, QGD_Complex16 u2)
	Implements Eq (9) of arXiv:1303:5904v1. More...

	Random_Unitary (int dim_in)
	Constructor of the class. More...

Public Attributes
int	dim
	The number of rows in the created unitary. More...

Detailed Description

A class to cerate general random unitary matrix according to arXiv:1303:5904v1.

Definition at line 49 of file Random_Unitary.h.

Constructor & Destructor Documentation

◆ Random_Unitary()

Random_Unitary::Random_Unitary ( int dim_in )

Constructor of the class.

Parameters

dim_in The number of rows in the random unitary to be ceated.

Returns: An instance of the class

Definition at line 125 of file Random_Unitary.cpp.

Member Function Documentation

◆ Construct_Unitary_Matrix() [1/3]

Matrix Random_Unitary::Construct_Unitary_Matrix ( )

Call to create a random unitary.

Returns: Returns with a pointer to the created random unitary

Definition at line 142 of file Random_Unitary.cpp.

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◆ Construct_Unitary_Matrix() [2/3]

Matrix Random_Unitary::Construct_Unitary_Matrix	(	double *	vartheta,
		double *	varphi,
		double *	varkappa
	)

Generates a unitary matrix from parameters vartheta, varphi, varkappa according to arXiv:1303:5904v1.

Parameters

vartheta	array of dim*(dim-1)/2 elements
varphi	array of dim*(dim-1)/2 elements
varkappa	array of dim-1 elements

Returns: Returns with a pointer to the generated unitary

Definition at line 188 of file Random_Unitary.cpp.

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◆ Construct_Unitary_Matrix() [3/3]

Matrix Random_Unitary::Construct_Unitary_Matrix ( double * parameters )

Generates a unitary matrix from parameters parameters according to arXiv:1303:5904v1.

Parameters

parameters array of (dim+1)*(dim-1) elements

Returns: The constructed unitary

Definition at line 254 of file Random_Unitary.cpp.

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◆ convert_indexes()

int Random_Unitary::convert_indexes	(	int	varalpha,
		int	varbeta
	)

Calculates an index from paramaters varalpha and varbeta.

Parameters

varalpha	An integer
varbeta	An integer

Returns: Returns with the calculated index.

Definition at line 243 of file Random_Unitary.cpp.

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◆ E_alpha_beta()

Matrix Random_Unitary::E_alpha_beta	(	int	varalpha,
		int	varbeta
	)

Implements matrix I below Eq (7) of arXiv:1303:5904v1.

Parameters

varalpha	An integer
varbeta	An integer

Returns: Return with a pointer to the calculated E matrix of Eq. (7) of arXiv:1303:5904v1

Definition at line 362 of file Random_Unitary.cpp.

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◆ gamma()

double Random_Unitary::gamma ( )

Implements Eq (11) of arXiv:1303:5904v1.

Returns: Returns eith the value of gamma

Definition at line 397 of file Random_Unitary.cpp.

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◆ I_alpha_beta()

Matrix Random_Unitary::I_alpha_beta	(	int	varalpha,
		int	varbeta
	)

Implements matrix I below Eq (7) of arXiv:1303:5904v1.

Parameters

varalpha	An integer
varbeta	An integer

Returns: Return with a pointer to the calculated I matrix of Eq. (7) of arXiv:1303:5904v1

Definition at line 379 of file Random_Unitary.cpp.

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◆ kronecker()

double Random_Unitary::kronecker	(	int	a,
		int	b
	)

Kronecker delta.

Parameters

a	An integer
b	An integer

Returns: Returns with the Kronecker delta value of a and b.

Definition at line 411 of file Random_Unitary.cpp.

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◆ M()

Matrix Random_Unitary::M	(	int	varalpha,
		int	varbeta,
		QGD_Complex16	s,
		QGD_Complex16	t
	)

Implements Eq (8) of arXiv:1303:5904v1.

Parameters

varalpha	An integer
varbeta	An integer
s	A complex number
t	A complex number

Returns: Return with a pointer to the calculated M matrix of Eq. (8) of arXiv:1303:5904v1

Definition at line 306 of file Random_Unitary.cpp.

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◆ Omega()

Matrix Random_Unitary::Omega	(	int	varalpha,
		int	varbeta,
		QGD_Complex16	x,
		QGD_Complex16	y
	)

Eq (6) of arXiv:1303:5904v1.

Parameters

varalpha	An integer
varbeta	An integer
x	A complex number
y	A complex number

Returns: Return with a pointer to the calculated Omega matrix of Eq. (6) of arXiv:1303:5904v1

Definition at line 268 of file Random_Unitary.cpp.

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◆ Q()

Matrix Random_Unitary::Q	(	QGD_Complex16	u1,
		QGD_Complex16	u2
	)

Implements Eq (9) of arXiv:1303:5904v1.

Parameters

u1	A complex number
u2	A complex number

Returns: Return with a pointer to the calculated Q matrix of Eq. (9) of arXiv:1303:5904v1

Definition at line 340 of file Random_Unitary.cpp.

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Member Data Documentation

◆ dim

int Random_Unitary::dim

The number of rows in the created unitary.

Definition at line 54 of file Random_Unitary.h.

The documentation for this class was generated from the following files:

Public Member Functions

Public Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Random_Unitary()

Member Function Documentation

◆ Construct_Unitary_Matrix() [1/3]

◆ Construct_Unitary_Matrix() [2/3]

◆ Construct_Unitary_Matrix() [3/3]

◆ convert_indexes()

◆ E_alpha_beta()

◆ gamma()

◆ I_alpha_beta()

◆ kronecker()

◆ M()

◆ Omega()

◆ Q()

Member Data Documentation

◆ dim