- How well can a strictly localized state approximate a single-boson or single-fermion state, or any other desired state?
- Determine the detailed properties of strictly localized states, e.g. similarly to the well-known properties of coherent states.
- How can we explicitly generate any desired state locally (as described in the Reeh-Schlieder theorem)?
Causality and strict localization
In quantum information technology, it is crucial to be able to generate single photons. Perfect single photons cannot be generated on demand; however, we can approximate them with realizable, strictly localized states. In this project, we will investigate the set of strictly localized states. This will be useful to determine how close we can approach a desired state, and will lead to valuable and novel insight from a fundamental point of view.