Conjecture on approximate joint eigenstates from the Clifford linear pseudospectrum
Approximate joint-eigenstate conjecture. If (λ,ν)∈ΛˉϵC(A,B)(\bm{\lambda},\nu)\in\bar{\Lambda}_{\epsilon}^{\mathrm{C}}(\bm{A},B)(λ,ν)∈ΛˉϵC(A,B), then there is a unit state ψ\bm{\psi}ψ such that