cirq.kak_canonicalize_vector

Canonicalizes an XX/YY/ZZ interaction by swap/negate/shift-ing axes.

cirq.kak_canonicalize_vector(
    x: float, y: float, z: float, atol: float = 1e-09
) -> cirq.KakDecomposition

Args
`x`	The strength of the XX interaction.
`y`	The strength of the YY interaction.
`z`	The strength of the ZZ interaction.
`atol`	How close x2 must be to π/4 to guarantee z2 >= 0

Returns
The canonicalized decomposition, with vector coefficients (x2, y2, z2)
`satisfying`	0 ≤ abs(z2) ≤ y2 ≤ x2 ≤ π/4 if x2 = π/4, z2 >= 0 Guarantees that the implied output matrix: `g · (a1 ⊗ a0) · exp(i·(x2·XX + y2·YY + z2·ZZ)) · (b1 ⊗ b0)` is approximately equal to the implied input matrix: `exp(i·(x·XX + y·YY + z·ZZ))`

Returns

The canonicalized decomposition, with vector coefficients (x2, y2, z2)

satisfying

0 ≤ abs(z2) ≤ y2 ≤ x2 ≤ π/4 if x2 = π/4, z2 >= 0

Guarantees that the implied output matrix:

g · (a1 ⊗ a0) · exp(i·(x2·XX + y2·YY + z2·ZZ)) · (b1 ⊗ b0)

is approximately equal to the implied input matrix:

exp(i·(x·XX + y·YY + z·ZZ))

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Last updated 2025-04-15 UTC.