Why are 3D corners not allowed in "A SAT Scalpel for Lattice Surgery"?

Why are 3D corners not allowed in "A SAT Scalpel for Lattice Surgery"? Ask Question Asked today Modified today Viewed 5 times 1 In the caption of Fig. 9 of A SAT Scalpel for Lattice Surgery: Representation and Synthesis of Subroutines for Surface-Code Fault-Tolerant Quantum Computing the authors write "A cube cannot have pipes in all three directions." However, for example in Fig 15 of Tangling Schedules Eases Hardware Connectivity Requirements for Quantum Error Correction does seem to contain 3D junctions at the qubits marked with Y 𝑌 . What's the reason that 3D corners aren't considered valid in LasRe (the lattice surgery representation used in the SAT scalpel paper). error-correctionsurface-codetopological-quantum-computing Share Improve this question Follow asked 3 hours ago Peter-Jan 2,74511 11 silver badges 33 33 bronze badges Add a comment Know someone who can answer? Share a link to this question via email, Twitter, or Facebook. 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