Quantum Entanglement: Discussion Thread

First of all, we need to gather some resources to tackle this problem. I found John Preskill’s notes on quantum computation to be very valuable. But what about is special? Moreover, why are we considering spaces of the form where is prime? As mentioned before here, quantum entanglement can be modelled more generally than tensor products in hilbert spaces.  We can consider cartesian products of various sets. But will this general view help us tackle our more specific problem?