Scott briefly discusses this issue in his book[1], where he cites a paper by Davies[2], which in turn cites one of Scott's talks[3]. I'm not sure about Davies' idea that the holographic bound should be formulated in terms of Kolmorgorov complexity instead of Shannon entropy, but the general question of holographic limitations on quantum systems deserves further study, it seems to me.
[1] https://www.amazon.com/dp/0521199565/
[2] https://arxiv.org/abs/quant-ph/0703041
[3] https://arxiv.org/abs/quant-ph/0507242