Two copies of the quantum cloning game have value strictly between (5+√17)/16 and (11+√65)/32, so the naive (3/4)² bound is beaten and strong parallel repetition fails.
Colisson Palais, L
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Parallel Repetition in the Two-Player Quantum Cloning Game
Two copies of the quantum cloning game have value strictly between (5+√17)/16 and (11+√65)/32, so the naive (3/4)² bound is beaten and strong parallel repetition fails.