Long-range correlated quantum errors from diffuson-correlated dephasing

arXiv:2611.13156v1 Announce Type: new Abstract: Electrical solid-state qubits are generally initialized, manipulated and read out through diffusive conductors. We show that the disorder-induced low energy modes of such a conductor --- diffusons --- impose spatially correlated dephasing on any qubits that share it, a mechanism we term diffuson-correlated dephasing. Starting from a Keldysh nonlinear sigma model for the disordered conductive region, coupled capacitively to two-level systems, we obtain the noise kernel in closed form. It decays as the inverse square of the qubit separation and changes sign with the orientation of the pair, so that qubit pairs at equal separation may be correlated or anticorrelated, an unambiguous experimental signature.