pygsti.tools.gatetools.single_qubit_gate

pygsti.tools.gatetools.single_qubit_gate#

single_qubit_gate(hx, hy, hz, noise=0)#

Construct the single-qubit operation matrix.

Build the operation matrix given by exponentiating -i * (hx*X + hy*Y + hz*Z), where X, Y, and Z are the sigma matrices. Thus, hx, hy, and hz correspond to rotation angles divided by 2. Additionally, a uniform depolarization noise can be applied to the gate.

Parameters:

  • hx (float) – Coefficient of sigma-X matrix in exponent.

  • hy (float) – Coefficient of sigma-Y matrix in exponent.

  • hz (float) – Coefficient of sigma-Z matrix in exponent.

  • noise (float, optional) – The amount of uniform depolarizing noise.

Returns:

4x4 operation matrix which operates on a 1-qubit density matrix expressed as a vector in the Pauli basis ( {I,X,Y,Z}/sqrt(2) ).

Return type:

numpy array