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Optimal violation of the Leggett–Garg inequality for arbitrary spin and emergence of classicality through unsharp measurements

2015/06/30 by Shiladitya Mal, A. S. Majumdar, A. S Majumdar · 2 citations
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Computer science #Context (archaeology) #Granularity #Physics #Quantum Mechanics and Applications #Quantum mechanics #Spin (aerodynamics) #Statistical physics #Theoretical and Computational Physics #Theoretical physics #quant-ph

paper · pdf · doi:10.1016/j.physleta.2016.05.020

7 pages

arxiv created 2015/09/26 · openalex publication_date 2016/05/13 · arxiv updated 2016/06/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider temporal correlations of particles with arbitrary spin. We show that the Leggett-Garg inequality can be maximally violated irrespective of the value of spin, thus improving upon an earlier result by Kofler and Brukner [Phys. Rev. Lett. 99, 180403 (2007)]. Our proof is accomplished through a suitable adoption of a measurement scheme which has previously been employed for studying the spatial correlation in a system with arbitrary spin. We next consider generalized or unsharp measurements as a method for coarse graining in a quantitative manner, and show that classicality emerges below a precise value of the sharpness parameter. Satisfaction of the Leggett-Garg inequality is shown to be a necessary and sufficient condition for macroscopic realism.

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