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.
Composition of multipartite quantum systems: perspective from time-like paradigm
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abstract
Figuring out the physical rationale behind natural selection of quantum theory is one of the most acclaimed quests in quantum foundational research. This pursuit has inspired several axiomatic initiatives to derive mathematical formulation of the theory by identifying general structure of state and effect space of individual systems as well as specifying their composition rules. This generic framework can allow several consistent composition rules for a multipartite system even when state and effect cones of individual subsystems are assumed to be quantum. Nevertheless, for any bipartite system, none of these compositions allows beyond quantum space-like correlations. In this letter we show that such bipartite compositions can admit stronger than quantum correlations in the time-like domain and, hence, indicates pragmatically distinct roles carried out by state and effect cones. We discuss consequences of such correlations in a communication task, which accordingly opens up a possibility of testing the actual composition between elementary quanta.
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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.