Violations of Bell's Inequality can only be reliably produced if some information about the apparatus setting on one wing is available on the other, requiring superluminal information transmission. In this paper I inquire into the minimum amount of information needed to generate quantum statistics for correlated photons. Reflection on informational constraints clarifies the significance of Fine's Prism models, and allows the construction of several models more powerful than Fine's. These models are more efficient than Fine claims to be possible and (...) work for the full range of possible analyzer settings. It also demonstrates that the division of theories into those that violate parameter independence and those that violate outcome independence sheds no light on the question of superluminal information transmission. (shrink)

Many aspects of the internal and external workings of computers can be viewed as a series of communication processes. Communication complexity is the mathematical theory of such communication processes. It is also often used as an abstract model of other aspects of computation. This book surveys this mathematical theory, concentrating on the question of how much communication is necessary for any particular process. The first part of the book is devoted to the simple two-party model introduced by Yao in 1979, (...) which is still the most widely studied model. The second part treats newer models developed to deal with more complicated communication processes. Finally, applications of these models, including computer networks, VLSI circuits, and data structures, are treated in the third part of the book. This is an essential resource for graduate students and researchers in theoretical computer science, circuits, networks and information theory. (shrink)