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Entanglement and Verification

Steven van Enk, University of Oregon

(Session 101 : Thursday from 10:00-12:00)

Abstract. Besides giving a general and simple introduction to bipartite entanglement, the main idea of the tutorial is to illustrate the differences between the theory and practice of entanglement verification.

Outline of Tutorial:

I. Bipartite entanglement:
• Definition
• Convex sets
• LOCC
• Entanglement monotones
• Why do we need entanglement anyway?
• Entanglement in infinite dimensions
II. Verifying entanglement, theory:
• Convex sets and entanglement witnesses
• Optimal & nonoptimal witnesses
• Bell inequality violations as a nonoptimal witness
III. Different sorts of entanglement in experiments:
• a priori
• Heralded
• a posteriori
IV. Verifying entanglement in experiments:
• What could possibly go wrong?
• Criteria for entanglement verification
• Security of quantum key distribution as guideline
  • Filtering data
  • Assumptions about generated state
  • Assumptions about measurements