Condition for macroscopic realism beyond the Leggett-Garg inequalities

By Johannes Kofler, Č. Brukner. 2012

182 citations recorded by the source corpus.

In 1985, Leggett and Garg put forward the concept of macroscopic realism (macrorealism) and, in analogy to Bell's theorem, derived a necessary condition in terms of inequalities, which are now known as the Leggett-Garg inequalities. In this paper, we discuss another necessary condition called no-signaling in time. It solely bases on comparing the probability distribution for a macrovariable at some time for the cases where previously a measurement has or has not been performed. Although the concept is analogous to the no-signaling condition in the case of Bell tests, it can be violated according to quantum mechanical predictions even in situations where no violation of Leggett-Garg inequalities is possible.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/af1303ed665dbc05ce5e3795fd545871222f6b3f

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In Artificial Intelligence

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Citations in the corpus

Leggett–Garg inequalities (2013, methodology): “[53, 50, 54], a third assumption is often made explicit:”
Macroscopic quantum states: Measures, fragility, and implementations (2017, background): “In the following, we are particularly interested in the “no-signaling in time” (NSIT) condition by Kofler and Brukner (2013), which simply states that the probability distribution for a measurement performed at time t = t3 should not depend on whether or not a measurement at an earlier time t2 was…”