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In probability and statistics, a probability distribution assigns a probability to each measurable subset of the possible outcomes of a random experiment, survey, or procedure of statistical inference.
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Induced distribution from random unitary
I have a vector space which is a tensor product of two vector spaces, of dimensions $d_1, d_2$ respectively.
Consider Haar random unitaries acting on the full space with matrix elements $U_{i_1 j_1, …
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0
answers
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Induced distribution from partial trace of random unitary
I am sure this must have been covered in the mathematical literature (and is certainly related to a similar question I had asked previously), but hoping someone can direct me to the right place.
Let u …
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votes
1
answer
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Equidistribution and moments
Equidistribution of a set sequence of numbers $\{s_1, s_2, s_3, \cdots\}$, loosely speaking, is the property that the proportion of terms falling in a subinterval is proportional to the length of that …
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Continuity of entropies, replica trick and Hausdorff moment problem
I could not find a really appropriate title for my question (happy to revise) but let me explain.
Suppose $p(x|c)$ is a probability density function over $x \in [0,1]$ which depends continuously on so …