Do surface-code domain walls (Hadamard) always carry two Y-defects?

Do surface-code domain walls (Hadamard) always carry two Y-defects? Ask Question Asked today Modified today Viewed 8 times 0 In principle one can merge two surface code patches via a Hadamard domain wall, even if they have matching colors (upper patch in the figure). In this case there is a Y-defect on each end of the domain wall. Loosely speaking I can make sense of this as some kind of double-negative: the domain wall changes from blue (Z) to red (X) boundary, and vice versa, but then the additional Y-defect "undoes this change". But when merging to patches of opposite colors (lower patch in the figure) the two Y-defects are still there, just both on one end of the domain wall. This seems odd to me (though I guess one could see this as a triple-negative) and I have never seen such a pair of Y-defects explicitly in any pipe diagrams, so I'm wondering if I misunderstood something about Y-defects here. .net/514NUPjH.png error-correctionsurface-codelattice-surgery Share Improve this question Follow asked 1 hour ago Frederik Wilde 11 1 bronze badge New contributor Add a comment Know someone who can answer? Share a link to this question via email, Twitter, or Facebook. Your Answer Sign up or log in Sign up using Google Sign up using Email and Password Post as a guest Name Email Required, but never shown Post Your Answer By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy. Start asking to get answers Find the answer to your question by asking. Ask question Explore related questions error-correctionsurface-codelattice-surgery See similar questions with these tags. 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