I just have a brief question about QMC being applied to calculating expectation values. If I were to calculate the expectation value of an operator, like the energy via a Quantum Mote Carlo approximation. I can take the expectation value, and convert it into a sum of `local' values which are sampled proportionally to $\vert \Psi \vert^{2}$

$$ E = \frac{\langle \Psi \vert \hat{H} \vert \Psi \rangle}{\langle \Psi \vert \Psi \rangle} \approx \frac{1}{N}\sum_{i=1}^{N} \frac{1}{\Psi(x_i)}\hat{H}\Psi(x_i) \ \textrm{where} \ x_i \sim \vert \Psi \vert^{2}$$

However, this only works if the operator in question is `local'. So, here's my question. Is it all possible to do QMC calculations for 'non-local' operators? Like a non-local interaction?

Thank you in advance!



Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Browse other questions tagged or ask your own question.