The maximum Schmidt rank representable by a degree-p polynomial decoder with K latent variables is exactly binom(K+p,p), so for p proportional to K the entangling power grows exponentially.
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Entangling power of neural networks
The maximum Schmidt rank representable by a degree-p polynomial decoder with K latent variables is exactly binom(K+p,p), so for p proportional to K the entangling power grows exponentially.