loom.eka.utilities.pauli_computation

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loom.eka.utilities.pauli_computation.g(x1, z1, x2, z2)

The g function as described in Aaronson’s paper but written with bitwise operations. The result is the exponent of the imaginary unit accompanying the multiplication result of the two paulis P_2 * P_1. Example: X * Y = X * i Z X = -i Z So input (1,1,1,0) gives -1.

Reference: https://arxiv.org/abs/quant-ph/0406196

Return type:

int

loom.eka.utilities.pauli_computation.g_npfunc(x1, z1, x2, z2)

Vectorized g function.

Parameters:

• x1 (np.ndarray) – The x bits of the first pauli string.

• z1 (np.ndarray) – The z bits of the first pauli string.

• x2 (np.ndarray) – The x bits of the second pauli string.

• z2 (np.ndarray) – The z bits of the second pauli string.

Returns:

The g values.

Return type:

np.ndarray