Commuting embeddings of game algebras, constructed via common Cartan decompositions, enable parallel non-local game strategies on fewer qubits than tensor products while preserving the ability to play multiple games simultaneously or select one at random.
Nonlocal games, compression theorems, and the arithmetical hierarchy
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Commuting Embeddings for Parallel Strategies in Non-local Games
Commuting embeddings of game algebras, constructed via common Cartan decompositions, enable parallel non-local game strategies on fewer qubits than tensor products while preserving the ability to play multiple games simultaneously or select one at random.