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Macrorealism is a classical world view asserting that the properties ofmacro-objects exist independently and irrespective of observation. Onepractical approach to test this view in quantum theory is to observe thequantum coherence for macro-object in an interference experiment. An elegantand conceptually appealing approach for testing the notion of macrorealism inquantum theory is through the violation of Leggett-Garg inequality. However, aconclusive Leggett-Garg test hinges on how the non-invasive measurabilitycriteria is guaranteed in an experiment and remains a debated issue till date.In this work, we connect the practical and the conceptual approaches fortesting the macrorealism through the weak value. We argue that whenever quantumeffect is observed in an interference experiment there is an existence ofanomalous weak value. Further, we demonstrate that whenever such weak valueexists, one obtains the violation of a Leggett-Garg inequality in anyinterference experiment. Since the system itself serves as apparatus in apath-only interference experiment, one cannot salvage the macrorealism byabandoning the non-invasive measurability assumption. We provide a rigorousdiscussion about the assumptions involved in Leggett-Garg scenario and how ourscheme fits into it. Further, using the quasiprobability approach we explainhow non-invasive measurability condition is satisfied in our scheme.

Interference experiment, anomalous weak value and Leggett-Garg test of macrorealism