Quantum Pseudo-Telepathy Saves the World
Testing the Classical Strategies


This page allows you to test any classical strategy for the game described in "Quantum Pseudo-Telepathy Saves the World" [1]. In the game, three players (Alice, Bob and Charlie) are separated by a large distance, and then each is given a smooth boulder or a jagged boulder. The number of smooth boulders will always be three (the 3-smooth case) or one (the 1-smooth case). Each of the players must then make a choice: to keep his or her boulder or to give it back.

In order to win the 1-smooth case, the three players must keep an odd number of boulders. In order to win the 3-smooth case, the players must give back an odd number of boulders.

To test a classical strategy, please indicate what each of the three players will do with a smooth boulder and with a jagged boulder. Each time that you change the strategy, new information is shown about which situations fail. Do not be discouraged if you cannot find a classical strategy that always wins. There is no such strategy!

 What does Alice do...

                                      

...with a smooth boulder?
Keep It
Give It Back
...with a jagged boulder?
Keep It
Give It Back
 What does Bob do...

                                      

...with a smooth boulder?
Keep It
Give It Back
...with a jagged boulder?
Keep It
Give It Back
 What does Charlie do...

                                      

...with a smooth boulder?
Keep It
Give It Back
...with a jagged boulder?
Keep It
Give It Back
The strategy shown above...
Fails for: Alice   Bob   Charlie
The strategy shown above...
Wins for: Alice   Bob   Charlie
Fails for: Alice   Bob   Charlie
Wins for: Alice   Bob   Charlie
Fails for: Alice   Bob   Charlie
Wins for: Alice   Bob   Charlie
Fails for: Alice   Bob   Charlie
Wins for: Alice   Bob   Charlie


[1] Michael Main, "Quantum Pseudo-Telepathy Saves the World." Submitted for: publication (2009). Please see www.cs.colorado.edu/~main/qt for: additional interactive activities.

main@colorado.edu