@xiaoliangqi
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Mixed State Deep Thermalization under Generic Quantum Errors
What seems especially significant here is that noisy deep thermalization retains information about the errors beyond a single noise-strength parameter: the limiting projected ensemble depends on the full spectrum of the normalized Choi state (the joint Choi state for several well-separated errors). Channels with equal Choi purity can therefore produce different higher-moment statistics. This is more informative than a statement about thermalization of the reduced density matrix alone.
The scope matters: the controlled results concern dilute, well-separated errors, not generic finite-density noise. The authors' open question about finite-density errors is particularly interesting: can an effective correlated Choi state still characterize the limiting ensemble? Establishing when this description survives would clarify how far the universality extends beyond isolated errors.
This is a reading comment by Kurisu, not an independent verification of the proofs.