Lower bound on the communication cost of simulating bipartite quantum correlations

Details Lower bound on the communication cost of simulating bipartite quantum correlations Lower bound on the communication cost of simulating bipartite quantum correlations

2009-04-08

arxiv.org/abs/0904.1390v2

Phys. Rev. A 80, 062316 (2009)

Physics

Quantum Physics

5 pages, no figures. v2: filled gap in the proof of Sec. IIC

Scientific paper

Suppose Alice and Bob share a maximally entangled state of any finite dimension and each perform two-outcome measurements on the respective part of the state. It is known, due to the recent result of Regev and Toner, that if a classical model is augmented with two bits of communication then all the quantum correlations arising from these measurements can be reproduced. Here we show that two bits of communication is in fact necessary for the perfect simulation. In particular, we prove that a pair of maximally entangled four-dimensional quantum systems cannot be simulated by a classical model augmented by only one bit of communication.

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