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Recently, some attention has been paid to falsifying the Leggett model, inwhich global probabilities characterizing a quantum state are represented by acombination of factorisable distributions. This idea was even verified inexperiments, and generalized for larger subsystems, but thus far not in termsof the size of a subsystem. In this communication we show an inequality toreject the Leggett description for a subsystem of two qubits. We also point outsome other interpretations of the derived expression.

Theoretical Falsification of Leggett Conjecture for Two Qubits or One Ququat