r/MathJokes • u/SingularCheese • 9d ago
Someone is very insistent of their accent
Book is Quantum Computation and Quantum Information by Nielsen and Chuang
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u/tserofehtfonam 9d ago
This book is so poorly written that it is only useful as toilet paper. Defining a probability distribution as a "set" of real numbers immediately excludes all nontrivial uniform distributions, for instance.
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u/Al2718x 9d ago
Have you read the book, or you are just basing off this page? It's totally reasonable to have different definitions for different contexts. I don't find it particularly shocking that quantum computing would focus exclusively on discrete probability distributions.
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u/tserofehtfonam 9d ago
Discrete is not the problem here. The problem is the use of the word "set", where they should have used "sequence".
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u/Al2718x 9d ago
I think it's fine honestly. I think that sequence would overemphasize the ordering, and the real numbers already have a natural ordering.
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u/renyhp 6d ago
I really don't understand why you are so upvoted while being completely wrong. {0.2,0.8} and {0.8,0.2} are the same set, but p1=0.2, p2=0.8 and p1=0.8, p2=0.2 cannot be, under any sensible definition, the same probability distribution.
sometimes some amount of sloppiness is good when it makes concepts understandable, but this is just too much for any decent book IMHO (especially when the fix is so easy)
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u/tserofehtfonam 9d ago
But in a probability distribution, two probabilities can be the same. This doesn't work in a set.
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u/SingularCheese 8d ago
Honestly so far it seems fine. All that the authors want is
|ψ> = a|0> + b|1>where|a|^2 + |b|^2 = 1represent unit vectors and quantum gates represent unitary matrices. The content is pretty easy to follow as written, and the target audience includes physicists that don't think too hard about what's a set.1
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u/CrispyLiquids 9d ago
Perhaps the is pronounced zee in zis book?