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

#include <Random_Unitary.h>

Inheritance diagram for Random_Unitary:

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...

void	print (const std::stringstream &sstream, int verbose_level=1) const
	Call to print output messages in the function of the verbosity level. 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...

void	set_debugfile (std::string debugfile)
	Call to set the debugfile name. More...

void	set_verbose (int verbose_in)
	Call to set the verbose attribute. More...

Public Attributes
bool	debug
	Logical variable. Set true to write output messages to the 'debug.txt' file. More...

std::string	debugfile_name
	String variable. Set the debug file name. More...

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

int	verbose
	Set the verbosity level of the output messages. More...

Detailed Description

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

Definition at line 51 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 126 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 143 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 189 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 255 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 244 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 363 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 398 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 380 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 412 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 307 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 269 of file Random_Unitary.cpp.

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◆ print()

void logging::print	(	const std::stringstream &	sstream,
		int	verbose_level = `1`
	)		const

inherited

Call to print output messages in the function of the verbosity level.

Parameters

sstream	The stringstream input to store the output messages.
verbose_level	Integer input. High level means write more to the standart output, 0 means write nothing. The default value is set to 1.

Definition at line 55 of file logging.cpp.

◆ 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 341 of file Random_Unitary.cpp.

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◆ set_debugfile()

void logging::set_debugfile ( std::string debugfile )

inherited

Call to set the debugfile name.

Parameters

debugfile String variable. Set the debugfile name.

Definition at line 95 of file logging.cpp.

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◆ set_verbose()

void logging::set_verbose ( int verbose_in )

inherited

Call to set the verbose attribute.

Parameters

verbose_in Integer variable. Set the number to specify the verbosity level for output messages.

Definition at line 85 of file logging.cpp.

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Member Data Documentation

◆ debug

bool logging::debug

inherited

Logical variable. Set true to write output messages to the 'debug.txt' file.

Definition at line 53 of file logging.h.

◆ debugfile_name

std::string logging::debugfile_name

inherited

String variable. Set the debug file name.

Definition at line 56 of file logging.h.

◆ dim

int Random_Unitary::dim

The number of rows in the created unitary.

Definition at line 56 of file Random_Unitary.h.

◆ verbose

int logging::verbose

inherited

Set the verbosity level of the output messages.

Definition at line 50 of file logging.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()

◆ print()

◆ Q()

◆ set_debugfile()

◆ set_verbose()

Member Data Documentation

◆ debug

◆ debugfile_name

◆ dim

◆ verbose