Generic appearance of objective results in quantum measurements

J. K. Korbicz, E. A. Aguilar, P. Ćwikliński, and P. Horodecki
Phys. Rev. A 96, 032124 – Published 28 September 2017

Abstract

Measurement is of central interest in quantum mechanics as it provides the link between the quantum world and the world of everyday experience. One of the features of everyday experience is its robust, objective character, contrasting the delicate nature of quantum systems. Here we analyze in a completely model-independent way the celebrated von Neumann measurement process, using recent techniques of information flow, studied in open quantum systems. We show the generic appearance of objective results in quantum measurements, provided we macroscopically coarse-grain the measuring apparatus and wait long enough. To study genericity, we employ the widely used Gaussian unitary ensemble of random matrices and the Hoeffding inequality. We derive generic objectivization time scales, given solely by the interaction strength and the systems' dimensions. Our results are manifestly universal and are a generic property of von Neumann measurements.

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  • Received 29 August 2016

DOI:https://doi.org/10.1103/PhysRevA.96.032124

©2017 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyGeneral PhysicsInterdisciplinary Physics

Authors & Affiliations

J. K. Korbicz1,2,*, E. A. Aguilar3, P. Ćwikliński3, and P. Horodecki1,2

  • 1Faculty of Applied Physics and Mathematics, Gdańsk University of Technology, 80-233 Gdańsk, Poland
  • 2National Quantum Information Centre in Gdańsk, 81-824 Sopot, Poland
  • 3Faculty of Mathematics, Physics and Informatics University of Gdańsk, 80-952 Gdańsk, National Quantum Information Centre in Gdańsk, 81-824 Sopot, Poland

  • *jkorbicz@mif.pg.gda.pl

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Vol. 96, Iss. 3 — September 2017

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