For 1/|ω| spectra, any passive Lindblad network with N modes has the same optimal approximation error as N independent damped modes, given by the degree-2N Zolotarev bound.
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Coupling Does Not Reduce the Auxiliary-Mode Count for $1/|\omega|$ Spectra in Passive Lindblad Networks
For 1/|ω| spectra, any passive Lindblad network with N modes has the same optimal approximation error as N independent damped modes, given by the degree-2N Zolotarev bound.