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A recent paper by Souza, Oliveira and Sarthour (SOS) reports the experimentalviolation of a Leggett-Garg inequality (sometimes referred to as a temporalBell inequality). The inequality tests for quantum mechanical superposition: ifthe inequality is violated, the dynamics cannot be explained by a large classof classical theories under the heading of macrorealism. Experimental tests ofthe LG inequality are beset by the difficulty of performing the necessaryso-called 'non-invasive' measurements (which for the macrorealist will extractinformation from a system of interest without disturbing it). SOS argue thatthey nevertheless achieve this difficult goal by putting the system in amaximally mixed state. The system then allegedly undergoes no perturbationduring their experiment. Unfortunately the method is ultimately unconvincing toa skeptical macrorealist, and so the conclusions drawn by SOS are unjustified.

new journal of physics

Comment on `A scattering quantum circuit for measuring Bell's time  inequality: a nuclear magnetic resonance demonstration using maximally mixed  states'