The following are the tentative topics of the seven slides for the PASCAL presentation.
**Problem Background/Motivation**
Slide 1- An illustration of two identical particles in two distant galaxies.
Slide 2- A few example states and probing wheather they are entangled or not with reference to the standard distinguishable particle entanglement criterion.
Slide 3- The source of the problem: Labelling identical entities and the need to symmetrize/anti-symmetrize to undo the labeling.
**Actual problem (pithily stated)**
Slide 4- State the main questions I'm working on.
Slide 5- Putting things in perspective(I'll clarify later what I mean by this)
**Why now?**
(i) Interest in using identical particles in QI protocols.
(ii) A lot of foundational (interpretational, reconstructive) efforts to understand nature of identical particles.
**The Competition**
Slide 6- The nature of the existing proposals to solve this problem.(And why they're not enough)
I need to have a clear answer to why the exising proposals to understand indistinguishable particle entanglements are not satisfactory.
Here are two points to consider(and check):
1) Different methods give conflicting answers to wheather a given state is entangled or not
2) There's no clear operational criterion to distinguish correlation due to statistics from correlation due to entanglement. Such a criterion would also serve the purpose of falsifying the existing proposals, and any new proposal too.
(i) An example; its limitations.
(ii) General slide on limitations of existing approaches.
**Towards a solution**
Slide 7- What counts as a "Solution" to the problem?
Slide 8- Methodologies and the pieces of the puzzle.
1. Make use of operationally-based interpretations/reconstructions.
2. Bell-inequality based approaches.
3. Persistence-nonpersistence reconstruction.