0
votes
0answers
16 views

Constructing a median-median inequality for a pair of distributions

Let $X_1$ and $X_2$ be continuous real random variables with medians $\mu_1$ and $\mu_2$ respectively. Can an effective upper bound on $|\mu_1-\mu_2|$ be found in terms of the variances $\sigma_{ij}$? ...
0
votes
1answer
38 views

the split of two quantum dice

We need to find the probabilities of the sum and the difference of two quantum dice. What is the probability of their sum to be 2? it can be accomplished only when both dice are 1. the probability of ...
3
votes
1answer
43 views

Defining conditional quantum probability

My knowledge of quantum mechanics is very limited, but I will try to ask a purely mathematical question here. If there is a text or resource that explains this, I would definitely appreciate any ...
3
votes
2answers
146 views

Can the $0$-norm represent determinism?

In Scott Aaronson's Quantum Computing since Democritus, he presents classical probability theory as based on the $1$-norm, and QM as based on the $2$-norm. Call $\{v_1,\ldots,v_N\}$ a unit vector ...
2
votes
1answer
114 views

How are Tr(AB) results restricted?

In quantum mechanics one postulates that for each state $i$ there is a matrix $A_i$ and for each measureable dynamical variable $j$ (velocity etc.) there is a matrix $B_j$. Both are Hermitian matrices ...