Mixing time of Lindblad-governed open quantum systems is determined by the Liouvillian gap plus trace-norm factors of eigenmodes, yielding rapid mixing conditions via sparsity constraints on the Hamiltonian and local Lindblad operators.
Therefore, the physical constraint Tr(ρ 2 0)≤1 implies that|c 1| cannot grow with system size; in particular,c 1 =O(1) under our normalization
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Universal Predictors for Mixing Time more than Liouvillian Gap
Mixing time of Lindblad-governed open quantum systems is determined by the Liouvillian gap plus trace-norm factors of eigenmodes, yielding rapid mixing conditions via sparsity constraints on the Hamiltonian and local Lindblad operators.