the nesting probe · depth × width · find the knife-edge
nest deeper, wider, and sweep the error across the threshold · below it, depth kills error doubly-exponentially · above it, depth explodes it
the dials
depth (levels down)3
width (sub-qubits/node)7
physical error p0.30%
the readout
threshold p_th1.00%
physical qubits (wᵈ)343
error exponent 2ᵈ8
logical error p_L1e-10
BELOW — protected
An interactive probe for nested qubit structures. Dial depth, width, and physical error rate. Below the threshold, each level of depth squares the error suppression (doubly exponential protection) at width-to-the-depth qubit cost. Above the threshold, each level of depth amplifies the error. The threshold is the knife-edge that decides whether nesting helps or dooms.