Why is X/Z biased fault intolerance necessarily bad?
Quantum Computing SEArchived Apr 10, 2026✓ Full text saved
I need some help interpreting what a biased Stim logical error rate means in context. Suppose I have a fault tolerant gadget where the X observable has distance of $d$ but the Z observable has a distance of $d/2$ . Assume I have a normal rotated surface code without any noise biasing at the physical-qubit level. When I compile and run a quantum algorithm, what exactly would be the problem? Could the algorithm be compiled in a way that avoids the Z observable? Or is the fault tolerant gadget most
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Why is X/Z biased fault intolerance necessarily bad?
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I need some help interpreting what a biased Stim logical error rate means in context. Suppose I have a fault tolerant gadget where the X observable has distance of
d
𝑑
but the Z observable has a distance of
d/2
𝑑
/
2
. Assume I have a normal rotated surface code without any noise biasing at the physical-qubit level. When I compile and run a quantum algorithm, what exactly would be the problem? Could the algorithm be compiled in a way that avoids the Z observable? Or is the fault tolerant gadget most likely to be useless?
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YoungProbopass
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