Basis Change

U3_gates_placement(n, n_measure, a_a_p_coeffs, circuit)

Places the U3 gates according to the mermin_IBM monomial

Parameters:

• n (int) – the size of the register to be evaluated
• n_measure (int) – The measure to be performed. Dictates whether a_i or a’_i is used on each wire
• a_a_p_coeffs (list[list[real]]) – Contains the list of coefficients for a_i and a’_i in the packed shape
• circuit (QuantumCircuit) – The circuit on which the measures are appended

Returns:

None

convert_in_binary(number_to_convert, number_of_bits=0)

Converts an int into a string containing its bits

Example :

>>> convert_in_binary(5,3)
101
>>> convert_in_binary(5,5)
00101

Parameters:

• number_to_convert (int) – The number that is going to be converted.
• number_of_bits (int) – The number of bits required.

Returns:

str – The converted number.

mermin_coeffs_to_U3_coeffs(x, y, z)

Generates the coefficients of the U3 gate from mermin coefficients:

x*X + y*Y + z*Z = U3(theta, phi, -phi-pi)

Parameters:

• x (float) – The coefficient alpha for the matrix X.
• y (float) – The coefficient beta for the matrix Y.
• z (float) – The coefficient gamma for the matrix Z.

Returns:

(float, float) – The two angles of U3 gate.