1. A Parallel Repetition Theorem for Entangled Projection Games Thomas Vidick Simons Institute, Berkeley Joint work with Irit Dinur (Weizmann) and David Steurer (Cornell)

2. Direct Product Theorems Answer!

3. Multiplayer games Accept! Reject!!

4. Parallel repetition of multiplayer games Check! Check! Check!

5. Results: parallel repetition of projection games XOR games Unique games Magic square 3SAT game Projection games Hidden matching game

6. Proof outline Rounding argument based on quantum correlated sampling lemma

7. Variables are vector-valued matrices:

8. A quantum correlated sampling lemma LO

9. Summary Questions

10. Thank you!