Probability density of quantum expectation values

Details Probability density of quantum expectation values Probability density of quantum expectation values

2012-02-22

arxiv.org/abs/1202.4810v2

Physics

Quantum Physics

13 pages, 3 figures, added references

Scientific paper

We consider the quantum expectation value $\mathcal{A}=<\psi|A|\psi>$ of an observable A over the state $|\psi>$. We derive the exact probability distribution of $\mathcal{A}$ seen as a random variable when $|\psi>$ varies over the set of all pure states equipped with the Haar-induced measure. The probability density is obtained with elementary means by computing its characteristic function, both for non-degenerate and degenerate observables. To illustrate our results we compare the exact predictions for few concrete examples with the concentration bounds obtained using Levy's lemma. Finally we comment on the relevance of the central limit theorem.

Affiliated with

Also associated with

No associations

Rating

Probability density of quantum expectation values does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Probability density of quantum expectation values, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Probability density of quantum expectation values will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-413743