Rigidity of the magic pentagram game


Amir Kalev (QuICS)
Friday, September 29, 2017 - 4:15pm
PSC 2136

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 talk I will present our results on the ridigity for the magic pentagram game, a simple binary constraint satisfaction game involving two players, five clauses and ten variables. In particular, 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.

*Snack and drinks will be served at 4 pm*