skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Redundancy of einselected information in quantum Darwinism: The irrelevance of irrelevant environment bits [Separating the wheat from the chaff: Redundancy and relevant information in quantum Darwinism]

Journal Article · · Physical Review A
 [1];  [2]
  1. Oregon State Univ., Corvallis, OR (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Here, the objective, classical world emerges from the underlying quantum substrate via the proliferation of redundant copies of selected information into the environment, which acts as a communication channel, transmitting that information to observers. These copies are independently accessible, allowing many observers to reach consensus about the state of a quantum system via its imprints in the environment. Quantum Darwinism recognizes that the redundancy of information is thus central to the emergence of objective reality in the quantum world. However, in addition to the “quantum system of interest,” there are many other systems “of no interest” in the Universe that can imprint information on the common environment. There is therefore a danger that the information of interest will be diluted with irrelevant bits, suppressing the redundancy responsible for objectivity. We show that mixing of the relevant (the “wheat”) and irrelevant (the “chaff”) bits of information makes little quantitative difference to the redundancy of the information of interest. Thus, we demonstrate that it does not matter whether one separates the wheat (relevant information) from the (irrelevant) chaff: The large redundancy of the relevant information survives dilution, providing evidence of the objective, effectively classical world.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1459628
Alternate ID(s):
OSTI ID: 1346267
Report Number(s):
LA-UR-16-27085; PLRAAN; TRN: US1901585
Journal Information:
Physical Review A, Vol. 95, Issue 3; ISSN 2469-9926
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 17 works
Citation information provided by
Web of Science

References (25)

Discriminating quantum states: The multiple Chernoff distance journal August 2016
Pointer basis of quantum apparatus: Into what mixture does the wave packet collapse? journal September 1981
Objective Properties from Subjective Quantum States: Environment as a Witness journal November 2004
Quantum Darwinism, classical reality, and the randomness of quantum jumps journal October 2014
Asymptotic Error Rates in Quantum Hypothesis Testing journal February 2008
Classical, quantum and total correlations journal August 2001
Complementarity of quantum discord and classically accessible information journal May 2013
Quantum Darwinism in a Mixed Environment journal September 2009
The rise and fall of redundancy in decoherence and quantum Darwinism journal August 2012
Generic emergence of classical features in quantum Darwinism journal August 2015
Decoherence, einselection, and the quantum origins of the classical journal May 2003
Amplification, Redundancy, and Quantum Chernoff Information journal April 2014
Redundant imprinting of information in nonideal environments: Objective reality via a noisy channel journal June 2010
Quantum Darwinism journal March 2009
Quantum Darwinism: Entanglement, branches, and the emergent classicality of redundantly stored quantum information journal June 2006
A Simple Example of “Quantum Darwinism”: Redundant Information Storage in Many-Spin Environments journal November 2005
Amplification, Decoherence and the Acquisition of Information by Spin Environments journal May 2016
The Chernoff lower bound for symmetric quantum hypothesis testing journal April 2009
Quantum Discord: A Measure of the Quantumness of Correlations journal December 2001
Einselection and decoherence from an information theory perspective journal November 2000
Complementarity of quantum discord and classically accessible information text January 2013
Generic emergence of classical features in quantum Darwinism text January 2013
Quantum Darwinism, Classical Reality, and the Randomness of Quantum Jumps text January 2014
Discriminating quantum states: the multiple Chernoff distance text January 2015
Amplification, Decoherence, and the Acquisition of Information by Spin Environments text January 2016

Cited By (4)

Current fluctuations in periodically driven systems journal May 2018
Role of information backflow in the emergence of quantum Darwinism journal July 2019
Collisional unfolding of quantum Darwinism journal April 2019
Strong Quantum Darwinism and Strong Independence is equivalent to Spectrum Broadcast Structure text January 2018

Similar Records

Quantum Theory of the Classical: Einselection, Envariance, Quantum Darwinism and Extantons
Journal Article · Mon Oct 24 00:00:00 EDT 2022 · Entropy · OSTI ID:1459628

Revealing the Emergence of Classicality Using Nitrogen-Vacancy Centers
Journal Article · Tue Oct 01 00:00:00 EDT 2019 · Physical Review Letters · OSTI ID:1459628

Redundant imprinting of information in nonideal environments: Objective reality via a noisy channel
Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. A · OSTI ID:1459628