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Consider the following ZXW circuit and its matrix as reported by ZXLive:
This diagram should correspond to the operator Z1+Z2=diag(2,0,0,-2), which the above matrix corroborates (up to a global scalar).
Now suppose we drag the 'head' of the W-spider so that it points to the left. This should not affect the spider's behavior, but the resulting matrix is different:
The boundary between these two cases seems to be whether the spider's head is on the left or right. In particular, the behavior of a 'vertical' W-spider is sensitive to small adjustments in the head's orientation.
The head being on the left also interacts oddly with the color change rule:
If both vertices are color-changed to be red within a Proof, then the matrix returns to the first (correct) example
If only the upper vertex is color-changed, the matrix is the second (incorrect) example
If only the lower vertex is color changed, a new incorrect matrix occurs:
The text was updated successfully, but these errors were encountered:
Consider the following ZXW circuit and its matrix as reported by ZXLive:
This diagram should correspond to the operator Z1+Z2=diag(2,0,0,-2), which the above matrix corroborates (up to a global scalar).
Now suppose we drag the 'head' of the W-spider so that it points to the left. This should not affect the spider's behavior, but the resulting matrix is different:
The boundary between these two cases seems to be whether the spider's head is on the left or right. In particular, the behavior of a 'vertical' W-spider is sensitive to small adjustments in the head's orientation.
The head being on the left also interacts oddly with the color change rule:
If both vertices are color-changed to be red within a Proof, then the matrix returns to the first (correct) example
If only the upper vertex is color-changed, the matrix is the second (incorrect) example
If only the lower vertex is color changed, a new incorrect matrix occurs:
The text was updated successfully, but these errors were encountered: