Simulating Indefinite Causal Order With Rindler Observers

Author(s)
Aleksandra Dimić, Marko Milivojević, Dragoljub Gočanin, Natália S. Móller, Časlav Brukner
Abstract

Realization of indefinite causal order (ICO), a theoretical possibility that even causal relations between physical events can be subjected to quantum superposition, apart from its general significance for the fundamental physics research, would also enable quantum information processing that outperforms protocols in which the underlying causal structure is definite. In this paper, we start with a proposition that an observer in a state of quantum superposition of being at two different relative distances from the event horizon of a black hole, effectively resides in ICO space-time generated by the black hole. By invoking the fact that the near-horizon geometry of a Schwarzschild black hole is that of a Rindler space-time, we propose a way to simulate an observer in ICO space-time by a Rindler observer in a state of superposition of having two different proper accelerations. By extension, a pair of Rindler observers with entangled proper accelerations simulates a pair of entangled ICO observers. Moreover, these Rindler-systems might have a plausible experimental realization by means of optomechanical resonators.

Organisation(s)
Quantum Optics, Quantum Nanophysics and Quantum Information
External organisation(s)
University of Belgrade, Federal University of Minas Gerais (UFMG), Technische Universität Kaiserslautern, Österreichische Akademie der Wissenschaften (ÖAW)
Journal
Frontiers in Physics
Volume
8
Pages
525333
No. of pages
7
ISSN
2296-424X
DOI
https://doi.org/10.3389/fphy.2020.525333
Publication date
10-2020
Peer reviewed
Yes
Austrian Fields of Science 2012
103012 High energy physics, 103028 Theory of relativity
Keywords
ASJC Scopus subject areas
Physics and Astronomy(all), Biophysics, Mathematical Physics, Physical and Theoretical Chemistry, Materials Science (miscellaneous)
Portal url
https://ucrisportal.univie.ac.at/en/publications/simulating-indefinite-causal-order-with-rindler-observers(38725f1e-c175-4b46-81f9-d47ea33fa629).html