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In the context of Phys. Rev. A 104, 022401 (arXiv:1803.10710), Figure 3

  1. What happens when a maximally entangled state( not $k$ extendible even for $k=2$) passes through a $k$-extendible channel? We know that a $k$ extendible channel preserves $k$ extendible states.

  2. What role do $k$ extendible channels play in entanglement transmission? Are we using these channels in entanglement transmission only because they are free channels in the resource theory of $k$ unextendibility? or does it give us some advantage when we use these channels?

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    $\begingroup$ Please focus on question, or make clear why they are closely enough related. Also, it would help if you have a little bit of context or background. Also, why does "We know that a 𝑘 extendible channel preserves 𝑘 extendible states." hold? Isn't the channel which replaces everything by the identity infinitely extendible (if I have the correct definition in mind)? $\endgroup$
    – Norbert Schuch
    Commented May 4, 2023 at 22:17

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