Header file for the paralleized calculation of the cost function of the final optimization problem (supporting TBB and OpenMP). More...

#include "common.h"
#include "matrix_real.h"
#include "matrix_real_float.h"
#include "matrix_float.h"
#include <tbb/combinable.h>
#include "logging.h"

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Classes
class	functor_cost_fnc
	Function operator class to calculate the partial cost function of the final optimization process. More...

Functions
double	get_cost_function (const Matrix &matrix, int trace_offset=0)
	Call co calculate the cost function during the final optimization process. More...

double	get_cost_function (const Matrix_float &matrix, int trace_offset=0)

double	get_cost_function_sum_of_squares (Matrix &matrix)

Matrix_real	get_cost_function_with_correction (const Matrix &matrix, int qbit_num, int trace_offset=0)
	Call co calculate the cost function of the optimization process, and the first correction to the cost finction according to https://arxiv.org/pdf/2210.09191.pdf. More...

Matrix_real_float	get_cost_function_with_correction (const Matrix_float &matrix, int qbit_num, int trace_offset=0)

Matrix_real	get_cost_function_with_correction2 (const Matrix &matrix, int qbit_num, int trace_offset=0)
	Call co calculate the cost function of the optimization process, and the first correction to the cost finction according to https://arxiv.org/pdf/2210.09191.pdf. More...

Matrix_real_float	get_cost_function_with_correction2 (const Matrix_float &matrix, int qbit_num, int trace_offset=0)

Matrix	get_deriv_osr_entanglement (Matrix &matrix, std::vector< std::vector< int >> &use_cuts, int rank=-1, bool use_softmax=false)

Matrix_float	get_deriv_osr_entanglement (Matrix_float &matrix, std::vector< std::vector< int >> &use_cuts, int rank=-1, bool use_softmax=false)

Matrix	get_deriv_sum_of_squares (Matrix &matrix)

double	get_hilbert_schmidt_test (Matrix &matrix)
	Call co calculate the cost function of the optimization process according to https://arxiv.org/pdf/2210.09191.pdf. More...

double	get_hilbert_schmidt_test (Matrix_float &matrix)

double	get_infidelity (Matrix &matrix)
	Call to calculate infidelity. More...

double	get_infidelity (Matrix_float &matrix)

double	get_osr_entanglement_test (Matrix &matrix, std::vector< std::vector< int >> &use_cuts, int rank=-1, bool use_softmax=false)

double	get_osr_entanglement_test (Matrix_float &matrix, std::vector< std::vector< int >> &use_cuts, int rank=-1, bool use_softmax=false)

QGD_Complex16	get_trace (Matrix &matrix)
	Call to calculate the real and imaginary parts of the trace. More...

QGD_Complex16	get_trace (Matrix_float &matrix)

Matrix	get_trace_with_correction (Matrix &matrix, int qbit_num)
	Call co calculate the Hilbert Schmidt testof the optimization process, and the first correction to the cost finction according to https://arxiv.org/pdf/2210.09191.pdf. More...

Matrix	get_trace_with_correction2 (Matrix &matrix, int qbit_num)
	Call co calculate the Hilbert Schmidt testof the optimization process, and the first correction to the cost finction according to https://arxiv.org/pdf/2210.09191.pdf. More...

std::pair< int, double >	operator_schmidt_rank (const Matrix &U, int n, const std::vector< int > &A_qubits, double Fnorm, double tol=1e-10)

std::pair< int, double >	operator_schmidt_rank (const Matrix_float &U, int n, const std::vector< int > &A_qubits, double Fnorm, double tol=1e-10)

double	real_trace_conj_dot (Matrix &A, Matrix &B)

double	real_trace_conj_dot (Matrix_float &A, Matrix_float &B)

std::vector< std::vector< int > >	unique_cuts (int n)

Detailed Description

Header file for the paralleized calculation of the cost function of the final optimization problem (supporting TBB and OpenMP).

Definition in file N_Qubit_Decomposition_Cost_Function.h.

Function Documentation

◆ get_cost_function() [1/2]

double get_cost_function	(	const Matrix &	matrix,
		int	trace_offset
	)

Call co calculate the cost function during the final optimization process.

Parameters

matrix The square shaped complex matrix from which the cost function is calculated.

Returns: Returns with the calculated cost function.

Parameters

matrix	The square shaped complex matrix from which the cost function is calculated.
trace_offset	The offset in the first columns from which the "trace" is calculated. In this case Tr(A) = sum_(i-offset=j) A_{ij}

Returns: Returns with the calculated cost function.

Definition at line 73 of file N_Qubit_Decomposition_Cost_Function.cpp.

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◆ get_cost_function() [2/2]

double get_cost_function	(	const Matrix_float &	matrix,
		int	trace_offset = `0`
	)

Definition at line 164 of file N_Qubit_Decomposition_Cost_Function.cpp.

◆ get_cost_function_sum_of_squares()

double get_cost_function_sum_of_squares ( Matrix & matrix )

Definition at line 443 of file N_Qubit_Decomposition_Cost_Function.cpp.

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◆ get_cost_function_with_correction() [1/2]

Matrix_real get_cost_function_with_correction	(	const Matrix &	matrix,
		int	qbit_num,
		int	trace_offset
	)

Call co calculate the cost function of the optimization process, and the first correction to the cost finction according to https://arxiv.org/pdf/2210.09191.pdf.

Parameters

matrix	The square shaped complex matrix from which the cost function is calculated.
qbit_num	The number of qubits

Returns: Returns with the matrix containing the cost function (index 0) and the first correction (index 1).

Definition at line 191 of file N_Qubit_Decomposition_Cost_Function.cpp.

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◆ get_cost_function_with_correction() [2/2]

Matrix_real_float get_cost_function_with_correction	(	const Matrix_float &	matrix,
		int	qbit_num,
		int	trace_offset = `0`
	)

Definition at line 254 of file N_Qubit_Decomposition_Cost_Function.cpp.

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◆ get_cost_function_with_correction2() [1/2]

Matrix_real get_cost_function_with_correction2	(	const Matrix &	matrix,
		int	qbit_num,
		int	trace_offset
	)

Call co calculate the cost function of the optimization process, and the first correction to the cost finction according to https://arxiv.org/pdf/2210.09191.pdf.

Parameters

matrix	The square shaped complex matrix from which the cost function is calculated.
qbit_num	The number of qubits

Returns: Returns with the matrix containing the cost function (index 0), the first correction (index 1) and the second correction (index 2).

Definition at line 295 of file N_Qubit_Decomposition_Cost_Function.cpp.

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◆ get_cost_function_with_correction2() [2/2]

Matrix_real_float get_cost_function_with_correction2	(	const Matrix_float &	matrix,
		int	qbit_num,
		int	trace_offset = `0`
	)

Definition at line 406 of file N_Qubit_Decomposition_Cost_Function.cpp.

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◆ get_deriv_osr_entanglement() [1/2]

Matrix get_deriv_osr_entanglement	(	Matrix &	matrix,
		std::vector< std::vector< int >> &	use_cuts,
		int	rank = `-1`,
		bool	use_softmax = `false`
	)

Definition at line 1441 of file N_Qubit_Decomposition_Cost_Function.cpp.

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◆ get_deriv_osr_entanglement() [2/2]

Matrix_float get_deriv_osr_entanglement	(	Matrix_float &	matrix,
		std::vector< std::vector< int >> &	use_cuts,
		int	rank = `-1`,
		bool	use_softmax = `false`
	)

Definition at line 1445 of file N_Qubit_Decomposition_Cost_Function.cpp.

◆ get_deriv_sum_of_squares()

Matrix get_deriv_sum_of_squares ( Matrix & matrix )

Definition at line 459 of file N_Qubit_Decomposition_Cost_Function.cpp.

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◆ get_hilbert_schmidt_test() [1/2]

double get_hilbert_schmidt_test ( Matrix & matrix )

Call co calculate the cost function of the optimization process according to https://arxiv.org/pdf/2210.09191.pdf.

Parameters

matrix	The square shaped complex matrix from which the cost function is calculated.
qbit_num	The number of qubits

Returns: Returns the cost function

Definition at line 524 of file N_Qubit_Decomposition_Cost_Function.cpp.

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◆ get_hilbert_schmidt_test() [2/2]

double get_hilbert_schmidt_test ( Matrix_float & matrix )

Definition at line 534 of file N_Qubit_Decomposition_Cost_Function.cpp.

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◆ get_infidelity() [1/2]

double get_infidelity ( Matrix & matrix )

Call to calculate infidelity.

Parameters

matrix	The square shaped complex matrix from which the cost function is calculated.
qbit_num	The number of qubits

Returns: Returns the cost function

Definition at line 541 of file N_Qubit_Decomposition_Cost_Function.cpp.

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◆ get_infidelity() [2/2]

double get_infidelity ( Matrix_float & matrix )

Definition at line 551 of file N_Qubit_Decomposition_Cost_Function.cpp.

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◆ get_osr_entanglement_test() [1/2]

double get_osr_entanglement_test	(	Matrix &	matrix,
		std::vector< std::vector< int >> &	use_cuts,
		int	rank = `-1`,
		bool	use_softmax = `false`
	)

Definition at line 1308 of file N_Qubit_Decomposition_Cost_Function.cpp.

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◆ get_osr_entanglement_test() [2/2]

double get_osr_entanglement_test	(	Matrix_float &	matrix,
		std::vector< std::vector< int >> &	use_cuts,
		int	rank = `-1`,
		bool	use_softmax = `false`
	)

Definition at line 1312 of file N_Qubit_Decomposition_Cost_Function.cpp.

◆ get_trace() [1/2]

QGD_Complex16 get_trace ( Matrix & matrix )

Call to calculate the real and imaginary parts of the trace.

Parameters

matrix The square shaped complex matrix from which the trace is calculated.

Returns: Returns with the calculated trace

Parameters

matrix The square shaped complex matrix from which the trace is calculated.

Returns: Returns with the calculated trace.

Definition at line 482 of file N_Qubit_Decomposition_Cost_Function.cpp.

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◆ get_trace() [2/2]

QGD_Complex16 get_trace ( Matrix_float & matrix )

Definition at line 501 of file N_Qubit_Decomposition_Cost_Function.cpp.

◆ get_trace_with_correction()

Matrix get_trace_with_correction	(	Matrix &	matrix,
		int	qbit_num
	)

Call co calculate the Hilbert Schmidt testof the optimization process, and the first correction to the cost finction according to https://arxiv.org/pdf/2210.09191.pdf.

Parameters

matrix	The square shaped complex matrix from which the cost function is calculated.
qbit_num	The number of qubits

Returns: Returns with the matrix containing the cost function (index 0) and the first correction (index 1).

Parameters

matrix	The square shaped complex matrix from which the cost function is calculated.
qbit_num	The number of qubits

Returns: Returns with the matrix containing the cost function (index 0-1) and the first correction (index 2-3).

Definition at line 564 of file N_Qubit_Decomposition_Cost_Function.cpp.

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◆ get_trace_with_correction2()

Matrix get_trace_with_correction2	(	Matrix &	matrix,
		int	qbit_num
	)

Call co calculate the Hilbert Schmidt testof the optimization process, and the first correction to the cost finction according to https://arxiv.org/pdf/2210.09191.pdf.

Parameters

matrix	The square shaped complex matrix from which the cost function is calculated.
qbit_num	The number of qubits

Returns: Returns with the matrix containing the cost function (index 0), the first correction (index 1) and the second correction (index 3).

Parameters

matrix	The square shaped complex matrix from which the cost function is calculated.
qbit_num	The number of qubits

Returns: Returns with the matrix containing the cost function (index 0-1), the first correction (index 2-3) and the second correction (index 4-5).

Definition at line 604 of file N_Qubit_Decomposition_Cost_Function.cpp.

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