N_Qubit_Decomposition_Cost_Function.cpp File Reference

Methods to calculate the cost function of the final optimization problem (supporting parallel computations). More...

#include "N_Qubit_Decomposition_Cost_Function.h"

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Functions
double	get_cost_function (Matrix matrix, int trace_offset)
	Call co calculate the cost function during the final optimization process. More...
double	get_cost_function_sum_of_squares (Matrix &matrix)
Matrix_real	get_cost_function_with_correction (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. More...
Matrix_real	get_cost_function_with_correction2 (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. More...
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_infidelity (Matrix &matrix)
	Call to calculate infidelity. More...
QGD_Complex16	get_trace (Matrix &matrix)
	Call to calculate the real and imaginary parts of the trace. More...
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...

Detailed Description

Methods to calculate the cost function of the final optimization problem (supporting parallel computations).

Definition in file N_Qubit_Decomposition_Cost_Function.cpp.

Function Documentation

get_cost_function()

double get_cost_function	(	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.
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 34 of file N_Qubit_Decomposition_Cost_Function.cpp.

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get_cost_function_sum_of_squares()

double get_cost_function_sum_of_squares

(

Matrix &

matrix

)

Definition at line 316 of file N_Qubit_Decomposition_Cost_Function.cpp.

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get_cost_function_with_correction()

Matrix_real get_cost_function_with_correction	(	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 133 of file N_Qubit_Decomposition_Cost_Function.cpp.

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get_cost_function_with_correction2()

Matrix_real get_cost_function_with_correction2	(	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 205 of file N_Qubit_Decomposition_Cost_Function.cpp.

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get_hilbert_schmidt_test()

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 362 of file N_Qubit_Decomposition_Cost_Function.cpp.

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get_infidelity()

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 372 of file N_Qubit_Decomposition_Cost_Function.cpp.

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get_trace()

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.

Definition at line 337 of file N_Qubit_Decomposition_Cost_Function.cpp.

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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 0-1) and the first correction (index 2-3).

Definition at line 388 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 0-1), the first correction (index 2-3) and the second correction (index 4-5).

Definition at line 428 of file N_Qubit_Decomposition_Cost_Function.cpp.

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