I am reading arxiv:1209.0448. I understand that my questions could be highly trivial. I would appreciate if anyone helps me to resolve my confusions.
In a CHSH game, Alice and Bob cannot have classical communication channel between them. According to the case of the second paragraph of page 6, Eve chooses to stop playing with either Alice or Bob selectively without notifying the other party. Let us consider the case when Alice has stopped while Bob is still playing.
I am confused whether 'not having a classical communication channel with Alice' also includes 'not having access to the environment Alice is in'. Because, if Alice receives the input it will change the entropy of Alice's system which eventually effects the entropy of Alice's environment. If Bob cannot communicate with Alice but has access to the environment where Alice is in, he may try to analyze the thermodynamic footprint and guess what is going on. I understand that ideally Alice and Bob can be in two isolated environments but in real life it is not feasible, right?