A star-network exclusion game is won perfectly with quantum d-level messages, but classically needs a message of at least n^{d-1} symbols, so no fixed-size classical qubit description can simulate joint measurements on many qubits.
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A lower bound on the classical simulation cost of star-network correlations
A star-network exclusion game is won perfectly with quantum d-level messages, but classically needs a message of at least n^{d-1} symbols, so no fixed-size classical qubit description can simulate joint measurements on many qubits.