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Jan 20, 2022 at 16:06 comment added Craig Gidney When you write down the Pauli products of the logical X and Z observables, there are no terms on data qubits outside the diagrammed area.
Jan 20, 2022 at 10:51 comment added Marco Fellous-Asiani For your second part: "Ideally you can rework those questions into things like 'how many logical qubits whose observables don't leave this area are here'". I don't get what this sentence means. What do you mean by observable don't leave this area?
Jan 20, 2022 at 10:50 comment added Marco Fellous-Asiani Thank you for your answer. While I understand the philosophy behind your answer I do not completely see what you mean. When you say "the boundaries are unspecified but far enough way to be irrelevant", I don't get as the fact the boundaries are far or not does not really matter: if they do not respect the "good" behavior then we would'nt have created a logical qubit (and then from my understanding it cannot really be an X or Z cut). The whole purpose of the part associated to the graph is to create an actual logical qubit.
Jan 19, 2022 at 22:34 history answered Craig Gidney CC BY-SA 4.0