Uploaded March 2022 | Updated September 2026, 2 weeks ago
This video shows a gamified version of Bell's Theorem called the "CHSH Game".
The theorem proves the non-local nature of quantum physics, known sometimes as "Spooky action at a distance". The gamified version further shows that quantum entanglement can be useful.
See more about the usefulness of quantum entanglement in this video about the relation of such games and interactive proofs, and a recent result related to the halting problem:
youtu.be/2H8629BCbkM
Some history:
Bell's Theorem is due to John Stuart Bell in 1964.
The CHSH inequality, by John Clauser, Michael Horne, Abner Shimony, and Richard Holt, improved on it in 1969.
The CHSH game by R. Cleve, P. Hoyer, B. Toner and J. Watrous in 2004.
About "Bell Locality":
The formal statement of it is this requirement of the probability distribution:
P(x,y|a,b,particle1,particle2)=P(x|a,particle1)P(y|b,particle2)
This means that the outcomes are independent given the input bits and the respective particle statements.
Another way to say that is as stated in the video: that given the particle the top player has, we can specify the table P(x|a,particle1), and it makes no difference what happens with the bottom player (or the other way around of course).
Bell's theorem proves this is not what's happening.
As stated in the closing slide, this conclusion relies on a few more background assumptions:
* Each measurement has one outcome. According to the "many-worlds" theory a measurement can have multiple outcomes, and Bell locallity may still hold with this interpretation.
* The referee can choose random bits. According to "superdeterminisim" world view, there's no such thing as randomness, and it might be that the referee chooses bits somehow pre-determined to match the particles held by the players.
Some more links:
A primer on quantum physics: youtu.be/p7bzE1E5PMY
A more rigorous explanation of quantum spin (Physics Videos by Eugene Khutoryansky): youtu.be/3k5IWlVdMbo
Chapters:
0:00 Part 1: The CHSH game
1:56 Part 2: Classical bound
6:20 Part 3: Quantum spin
13:44 Part 4: A Quantum Strategy
16:10 Part 5: Local realism
18:48 Part 6: No signaling
22:45 Part 7: Bell locality
This video shows a gamified version of Bell's Theorem called the "CHSH Game".
The theorem proves the non-local nature of quantum physics, known sometimes as "Spooky action at a distance". The gamified version further shows that quantum entanglement can be useful.
See more about the usefulness of quantum entanglement in this video about the relation of such games and interactive proofs, and a recent result related to the halting problem:
youtu.be/2H8629BCbkM
Some history:
Bell's Theorem is due to John Stuart Bell in 1964.
The CHSH inequality, by John Clauser, Michael Horne, Abner Shimony, and Richard Holt, improved on it in 1969.
The CHSH game by R. Cleve, P. Hoyer, B. Toner and J. Watrous in 2004.
About "Bell Locality":
The formal statement of it is this requirement of the probability distribution:
P(x,y|a,b,particle1,particle2)=P(x|a,particle1)P(y|b,particle2)
This means that the outcomes are independent given the input bits and the respective particle statements.
Another way to say that is as stated in the video: that given the particle the top player has, we can specify the table P(x|a,particle1), and it makes no difference what happens with the bottom player (or the other way around of course).
Bell's theorem proves this is not what's happening.
As stated in the closing slide, this conclusion relies on a few more background assumptions:
* Each measurement has one outcome. According to the "many-worlds" theory a measurement can have multiple outcomes, and Bell locallity may still hold with this interpretation.
* The referee can choose random bits. According to "superdeterminisim" world view, there's no such thing as randomness, and it might be that the referee chooses bits somehow pre-determined to match the particles held by the players.
Some more links:
A primer on quantum physics: youtu.be/p7bzE1E5PMY
A more rigorous explanation of quantum spin (Physics Videos by Eugene Khutoryansky): youtu.be/3k5IWlVdMbo
Chapters:
0:00 Part 1: The CHSH game
1:56 Part 2: Classical bound
6:20 Part 3: Quantum spin
13:44 Part 4: A Quantum Strategy
16:10 Part 5: Local realism
18:48 Part 6: No signaling
22:45 Part 7: Bell locality
![[Laser] Firing squad synchronization problem](https://i.ytimg.com/vi/xV1aKUdlljU/mqdefault.jpg "[Laser] Firing squad synchronization problem
The video shows a theoretical problem in computer science and a solution for it. It is presented as a riddle, but note its not easy to solve.
The shown solution is based on the first solution proposed for this problem. It requires ~3n steps, and 17 states.
See list of states and some additional information here: https://www.udiprod.com/firing-squad-synchronization/")
