1206.3695 (Carlos Palazuelos)

On the largest Bell violation attainable by a quantum state    [PDF]

Carlos Palazuelos

We study the projective tensor norm as a measure of the largest Bell violation of a quantum state. In order to do this, we consider a truncated version of a well-known SDP relaxation for the quantum value of a two-prover one-round game, which has extra restrictions on the dimension of the SDP solutions. Our main result provides a tight upper bound for the distance between the classical value of a Bell inequality and the corresponding value of the relaxation. As a direct consequence, we show that we cannot remove a $\ln n$ factor when we are computing the largest Bell violation attainable by the maximally entangled state.

View original: http://arxiv.org/abs/1206.3695