Physics – Quantum Physics
Scientific paper
2009-03-12
Quantum Information and Computation, Vol. 11(1-2), 40-69 (2011)
Physics
Quantum Physics
23 pages
Scientific paper
A non-local box is an abstract device into which Alice and Bob input bits x and y respectively and receive outputs a and b respectively, where a, b are uniformly distributed and the parity of a+b equals xy. Such boxes have been central to the study of quantum or generalized non-locality as well as the simulation of non-signaling distributions. In this paper, we start by studying how many non-local boxes Alice and Bob need in order to compute a Boolean function f. We provide tight upper and lower bounds in terms of the communication complexity of the function both in the deterministic and randomized case. We then proceed to show that the study of non-local box complexity has interesting applications for classical computation as well. In particular, we look at secure function evaluation, and study the question posed by Beimel and Malkin of how many Oblivious Transfer calls Alice and Bob need in order to securely compute a function f. We show that this question is related to the non-local box complexity of the function and conclude by greatly improving their bounds. Finally, another consequence of our results is that traceless two-outcome measurements on maximally entangled states can be simulated with 3 non-local boxes, while no finite bound was previously known.
Kaplan Marc
Kerenidis Iordanis
Laplante Sophie
Roland Jérémie
No associations
LandOfFree
Non-Local Box Complexity and Secure Function Evaluation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Non-Local Box Complexity and Secure Function Evaluation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Local Box Complexity and Secure Function Evaluation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-36610