# A game with a quantum edge

## 00–08 seconds

Two players get separate random bits

Each returns one bit. They cannot communicate after receiving the questions.

## 08–16 seconds

There are four equally likely inputs

They win when the XOR of their answers equals the AND of the two input bits.

## 16–24 seconds

Classical strategies reach 75%

A deterministic strategy can satisfy three of the four cases. Shared randomness cannot improve the maximum.

## 24–32 seconds

An entangled strategy reaches 85.36%

The ideal quantum strategy gives cos squared(pi/8), about 0.853553.

## 32–40 seconds

The rules are part of the result

Uniform inputs and no communication are essential. Laboratory loopholes and finite statistics need evidence.

## 40–48 seconds

Correlations do not send messages

Explore the worked CHSH game. The advantage does not allow faster-than-light communication.