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Utility methods for breaking matrices into useful pieces.
Classes
class AxisAngleDecomposition: Represents a unitary operation as an axis, angle, and global phase.
class KakDecomposition: A convenient description of an arbitrary two-qubit operation.
Functions
axis_angle(...): Decomposes a single-qubit unitary into axis, angle, and global phase.
deconstruct_single_qubit_matrix_into_angles(...): Breaks down a 2x2 unitary into more useful ZYZ angle parameters.
extract_right_diag(...): Extract a diagonal unitary from a 3-CNOT two-qubit unitary.
kak_canonicalize_vector(...): Canonicalizes an XX/YY/ZZ interaction by swap/negate/shift-ing axes.
kak_decomposition(...): Decomposes a 2-qubit unitary into 1-qubit ops and XX/YY/ZZ interactions.
kak_vector(...): Compute the KAK vectors of one or more two qubit unitaries.
kron_factor_4x4_to_2x2s(...): Splits a 4x4 matrix U = kron(A, B) into A, B, and a global factor.
map_eigenvalues(...): Applies a function to the eigenvalues of a matrix.
num_cnots_required(...): Returns the min number of CNOT/CZ gates required by a two-qubit unitary.
scatter_plot_normalized_kak_interaction_coefficients(...): Plots the interaction coefficients of many two-qubit operations.
so4_to_magic_su2s(...): Finds 2x2 special-unitaries A, B where mat = Mag.H @ kron(A, B) @ Mag.
unitary_eig(...): Gives the guaranteed unitary eigendecomposition of a normal matrix.