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Leggett-Garg macrorealism and temporal correlations

Giuseppe Vitagliano1,* and Costantino Budroni2,3,4,†

  • 1Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, 1020 Vienna, Austria
  • 2Department of Physics “E. Fermi” University of Pisa, Largo B. Pontecorvo 3, 56127 Pisa, Italy
  • 3Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria
  • 4Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, Boltzmanngasse 3, 1090 Vienna, Austria

  • *giuseppe.vitagliano@tuwien.ac.at
  • †costantino.budroni@unipi.it
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Phys. Rev. A 107, 040101 – Published 20 April, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.040101

Abstract

Leggett and Garg formulated macrorealist models encoding our intuition on classical systems, i.e., physical quantities have a definite value that can be measured with minimal disturbance, and with the goal of testing macroscopic quantum coherence effects. The associated inequalities, involving the statistics of sequential measurements on the system, are violated by quantum-mechanical predictions and experimental observations. Such tests, however, are subject to loopholes: a classical explanation can be recovered assuming specific models of measurement disturbance. We review recent theoretical and experimental progress in characterizing macrorealist and quantum temporal correlations, and in closing loopholes associated with Leggett-Garg tests. Finally, we review recent definitions of nonclassical temporal correlations, which go beyond macrorealist models by relaxing the assumption on the measurement disturbance, and their applications in sequential quantum information processing.

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Phys. Rev. A 107, 040101– Published 20 April, 2023
  • Received 22 December 2022
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