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Author Archives: Mateus Araújo
What is cool about quantum teleportation?
Everybody™ thinks that quantum teleportation is lame. Even scienceloving xkcd thinks quantum teleportation is lame, and has a comic mocking it: This breaks my heart. I want to actually defend quantum teleportation, and show that Randall Munroe is wrong. Quantum … Continue reading
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Wallace’s version of the DeutschWallace theorem, part 2
To conclude the proof of Wallace’s version of the DeutschWallace theorem, we shall add the Equivalence theorem from the previous post to a pretty weak decision theory, and show that if you are rational and live in a universe described … Continue reading
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Wallace’s version of the DeutschWallace theorem, part 1
One might still be worried about Deutsch’s Additivity. What if it is actually necessary prove the Born rule? In this case one wouldn’t be able to use the Born rule in the ManyWorlds interpretation without committing oneself to stupid decisions, … Continue reading
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Deutsch’s version of the DeutschWallace theorem
With the decision theory from the previous post already giving us probabilities, all that is left to do is add the ManyWorlds interpretation and show that these probabilities must actually be given by the Born rule. Sounds easy, no? But … Continue reading
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Probability from decision theory
There exists a problem in the world, that is even more pressing than the position of cheese in the cheeseburger emoji: namely that nobody™ understands the DeutschWallace theorem. I’ve talked to a lot of people about it, and the usual … Continue reading
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On the morality of blackholing in conferences
Consider the entirely hypothetical situation where you are in a physics conference with really bad wifi. Either because the router has a hard limit in the amount of devices that can connect simultaneously, or the bandwidth is too small to … Continue reading
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Is gravity quantum?
Last week two curious papers appeared on the arXiv, one by Marletto and Vedral, and the other by Bose et al., proposing to test whether the gravitational field must be quantized. I think they have a nice idea there, that … Continue reading
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How quantum teleportation actually works
EDIT: Philip Ball has updated his article on Nature News, correcting the most serious of its errors. While everyone makes mistakes, few actually admit to them, so I think this action is rather praiseworthy. Correspondingly, I’m removing criticism of that … Continue reading
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Pure quantum operations
Everybody knows how to derive what are the most general operations one can apply to a quantum state. You just need to assume that a quantum operation Is linear. Maps quantum states to quantum states. Still maps quantum states to … Continue reading
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What is the probability of an infinite sequence of coin tosses?
It’s 0, except on the trivial cases where it is 1. But clearly this is the wrong way to formulate the question, as there are interesting things to be said about the probabilities of infinite sequences of coin tosses. The … Continue reading
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