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The dis- tinguishability measure is then Γ = 1 T T−1X t=0 ln W1,m(t) W1,m(0) m ,(32) where⟨·⟩ m denotes an average over theMperturbations

For each perturbation, we define the time-dependent separation between the evolved perturbed, reference 7 GQSs as W1,m(t) =W 1 QS′ m (Z, t), QS(Z, t)

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State Diagnostics of Complexity in Open Quantum Systems

quant-ph · 2026-08-10 · conditional · novelty 6.0

In the quantum kicked top, two Wasserstein-based diagnostics on geometric quantum states, distinguishability and state-space coverage, grow with interaction strength and show parity-dependent finite-size behavior.

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  • State Diagnostics of Complexity in Open Quantum Systems quant-ph · 2026-08-10 · conditional · none · ref 1

    In the quantum kicked top, two Wasserstein-based diagnostics on geometric quantum states, distinguishability and state-space coverage, grow with interaction strength and show parity-dependent finite-size behavior.