Photo by Ken Cheung on Unsplash

Exact Diagonalization Put Briefly.

On key tools for simulating Hamiltonians

If you’re not convinced, expand these steps with the power series representation

A superficially different approach

I encountered the following approach when reading through S. Aaronson’s lecture notes and wanted to show how it’s practically equivalent to the approach we just discussed.

|v_i⟩ are the energy eigenstates, and α_i the accompanying complex amplitudes


Exact diagonalization can be summarized in the following simple process:


-- | Invested in QC + ML | EECS @UWaterloo | Seeker of rigorous truth

Get the Medium app

A button that says 'Download on the App Store', and if clicked it will lead you to the iOS App store
A button that says 'Get it on, Google Play', and if clicked it will lead you to the Google Play store