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We propose a new Wigner inequality suitable for test of the hypothesis of realism. We show that this inequality is not identical neither to the well-known Wigner inequality nor to the Leggett-Garg inequality in Wigner form. The obtained…

量子物理 · 物理学 2019-12-18 N. Nikitin , K. Toms

Quantum mechanics has predicted many counterintuitive phenomena in daily life, and has changed our view of the world. Among such predictions, the existence of a macroscopic object in superposition is especially unbelievable. As Einstein…

介观与纳米尺度物理 · 物理学 2009-05-15 Toshiyuki Fujii , Munehiro Nishida , Noriyuki Hatakenaka

It remains an open question how realist view of macroscopic world emerges from quantum formalism. For testing the macrorealism in quantum domain, an interesting approach was put forward by Leggett and Garg in $1985$, by formulating a…

量子物理 · 物理学 2017-08-16 Swati Kumari , A. K. Pan

The usual formulation of Macrorealism is recast to make this notion fully concurrent with the basic ideas behind classical physics. The assumption of non-invasiveness of measurements is dropped. Instead, it is assumed that the current state…

量子物理 · 物理学 2010-09-10 Marek Zukowski

The Leggett-Garg (LG) inequalities were proposed in order to assess whether sets of pairs of sequential measurements on a single quantum system can be consistent with an underlying notion of macrorealism. Here, the LG inequalities are…

量子物理 · 物理学 2016-03-02 J. J. Halliwell

The Bell-type (spatial), Kochen-Specker (contextuality) or Leggett-Garg (temporal) inequalities are based on classically plausible but otherwise quite distinct assumptions. For any of these inequalities, satisfaction is equivalent to a…

量子物理 · 物理学 2014-02-20 Siddhartha Das , S. Aravinda , R. Srikanth , Dipankar Home

A recent paper by Souza, Oliveira and Sarthour (SOS) reports the experimental violation of a Leggett-Garg inequality (sometimes referred to as a temporal Bell inequality). The inequality tests for quantum mechanical superposition: if the…

量子物理 · 物理学 2012-07-13 George C. Knee , Erik M. Gauger , G. Andrew D. Briggs , Simon C. Benjamin

Bell's inequality is established based on local realism. The violation of Bell's inequality by quantum mechanics implies either locality or realism or both are untenable. Leggett's inequality is derived based on nonlocal realism. The…

量子物理 · 物理学 2015-01-09 Hong-Yi Su , Jing-Ling Chen , Chunfeng Wu , Dong-Ling Deng , C. H. Oh

In contrast to the spatial Bell's inequalities, which probe entanglement between spatially-separated systems, the Leggett-Garg inequalities test the correlations of a single system measured at different times. Violation of a genuine…

量子物理 · 物理学 2014-01-31 Clive Emary , Neill Lambert , Franco Nori

The Leggett-Garg (LG) inequalities were introduced, as a temporal parallel of the Bell inequalities, to test macroscopic realism -- the view that a macroscopic system evolving in time possesses definite properties which can be determined…

量子物理 · 物理学 2020-01-08 J. J. Halliwell

Leggett-Garg inequalities are tests of macroscopic realism that can be violated by quantum mechanics. In this letter, we realise photonic Leggett-Garg tests on a three-level system and implement measurements that admit three distinct…

量子物理 · 物理学 2018-02-05 Kunkun Wang , Clive Emary , Xiang Zhan , Zhihao Bian , Jian Li , Peng Xue

Statistical tests are needed to determine experimentally whether a hypothetical theory based on local realism can be an acceptable alternative to quantum mechanics. It is impossible to rule out local realism by a single test, as often…

量子物理 · 物理学 2017-04-26 Asher Peres

Despite the great success of quantum mechanics, questions regarding its application still exist and the boundary between quantum and classical mechanics remains unclear. Based on the philosophical assumptions of macrorealism and noninvasive…

量子物理 · 物理学 2012-04-24 Jin-Shi Xu , Chuan-Feng Li , Xu-Bo Zou , Guang-Can Guo

In two-party, two-input and two-output measurement scenario only relevant Bell's inequality is the Clauser-Horne-Shimony-Holt (CHSH) form. They also provide the necessary and sufficient conditions for local realism. Any other form, such as,…

量子物理 · 物理学 2019-12-24 Swati Kumari , A. K. Pan

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…

量子物理 · 物理学 2013-05-15 Johannes Kofler , Caslav Brukner

I study several aspects of tests of macrorealism (MR), which for a given data set serves to give a quantitative signal of the presence of a specific notion of non-classical behaviour. The insufficiency of classical understanding underpins…

量子物理 · 物理学 2024-02-27 Clement Mawby

Most working scientists hold fast to the concept of 'realism' - a viewpoint according to which an external reality exists independent of observation. But quantum physics has shattered some of our cornerstone beliefs. According to Bell's…

We highlight the existence of a joint probability distribution as the common underpinning assumption behind Bell-type, contextuality, and Leggett-Garg-type tests. We then present a procedure to translate contextual scenarios into temporal…

量子物理 · 物理学 2016-10-13 M. Markiewicz , P. Kurzynski , J. Thompson , S. -Y. Lee , A. Soeda , T. Paterek , D. Kaszlikowski

Quantum mechanics provides a statistical description about nature, and thus would be incomplete if its statistical predictions could not be accounted for some realistic models with hidden variables. There are, however, two powerful theorems…

In this paper we provide an experimental illustration of Page and Wootters' quantum time mechanism that is able to describe two-time quantum correlation functions. This allows us to test a Leggett-Garg inequality, showing a violation from…

量子物理 · 物理学 2017-11-22 Ekaterina Moreva , Marco Gramegna , Giorgio Brida , Lorenzo Maccone , Marco Genovese
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