Trace expectation value

1. How do you calculate expectation value?
2. What is meant by expectation value?
3. What does the trace of a matrix tell you?

How do you calculate expectation value?

To find the expected value, E(X), or mean μ of a discrete random variable X, simply multiply each value of the random variable by its probability and add the products. The formula is given as E ( X ) = μ = ∑ x P ( x ) .

What is meant by expectation value?

In quantum mechanics, the expectation value is the probabilistic expected value of the result (measurement) of an experiment. It is not the most probable value of a measurement; indeed the expectation value may have zero probability of occurring. It is a fundamental concept in all areas of quantum physics.

What does the trace of a matrix tell you?

The Trace of a Matrix is defined only for a Square Matrix. It is sum of its diagonal elements from the upper left to lower right, of matrix. The Trace of a Matrix is useful to prove the results in Linear Algebra.