TY - JOUR T1 - Rigidity of the magic pentagram game JF - Quantum Science and Technology Y1 - 2017 A1 - Amir Kalev A1 - Carl Miller AB -

A game is rigid if a near-optimal score guarantees, under the sole assumption of the validity of quantum mechanics, that the players are using an approximately unique quantum strategy. Rigidity has a vital role in quantum cryptography as it permits a strictly classical user to trust behavior in the quantum realm. This property can be traced back as far as 1998 (Mayers and Yao) and has been proved for multiple classes of games. In this paper we prove ridigity for the magic pentagram game, a simple binary constraint satisfaction game involving two players, five clauses and ten variables. We show that all near-optimal strategies for the pentagram game are approximately equivalent to a unique strategy involving real Pauli measurements on three maximally-entangled qubit pairs.

VL - 3 U4 - 015002 UR - http://iopscience.iop.org/article/10.1088/2058-9565/aa931d/meta CP - 1 ER -