This was a great video! I think a lot of people get confused because they're actually solving a different problem:
Let’s play a game. I give you a $20 bill. In my hand...
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Read more (160 words)
A paradox in probability
Here's an interesting paradox for you to consider. We've all been told it doesn't pay to chase our losses gambling- but this video seems to prove that actually this will let you consistently win money. This can't be right- and that's the paradox.
If you lost a lot of times in a row, you're going to run out of money at some point right?
Say you have to stop playing if you ever lost x amount. What's your expected winnings?
For those of you interested in other betting systems, I also found this source particularly helpful. In casinos the probabilities are always stacked against you, since the casino can vary the ...
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Read more (73 words)
Quantum Entanglement and the EPR Paradox
What is entanglement really? And why is it that it's a uniquely quantum phenomena?
Explain why Alice can never send any messages through this set up.
This is one to practice working with wavefunctions of several objects. Prove mathematically that it’s impossible to write our state as two separate states for the electron and positron
This one is very relevant to quantum computing. If you have just one electron or positron, you only need 2 numbers to describe its state. Now suppose you have n of them. If they are not entangled, how many numbers to you need to describe the state? What about for a general state that is allowed to be entangled?
Bohmian mechanics stuff: In Bohmian mechanics, you s...
Alice can't actually send any information to Bob, since once she observes the spin of her particle, Bob's will necessarily be exactly the opposite. Alice can't control what spin her particle will be, hence she can't transmit any information to Bob.