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Title: Quantumness of noisy quantum walks: A comparison between measurement-induced disturbance and quantum discord

Abstract

Noisy quantum walks are studied from the perspective of comparing their quantumness as defined by two popular measures, measurement-induced disturbance (MID) and quantum discord (QD). While the former has an operational definition, unlike the latter, it also tends to overestimate nonclassicality because of a lack of optimization over local measurements. Applied to quantum walks, we find that MID, while acting as a loose upper bound on QD, still tends to reflect correctly trends in the behavior of the latter. However, there are regimes where its behavior is not indicative of nonclassicality: in particular, we find an instance where MID increases with the application of noise, where we expect a reduction of quantumness.

Authors:
; ; ;  [1]
  1. Poornaprajna Institute of Scientific Research, Sadashivnagar, Bengaluru 560 080 (India)
Publication Date:
OSTI Identifier:
21550232
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 83; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.83.064302; (c) 2011 American Institute of Physics; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPARATIVE EVALUATIONS; DISTURBANCES; EXPECTATION VALUE; EXPERIMENTAL DATA; NOISE; OPTIMIZATION; QUANTUM MECHANICS; DATA; EVALUATION; INFORMATION; MECHANICS; NUMERICAL DATA

Citation Formats

Rao, Balaji R, Srikanth, R, Chandrashekar, C M, Banerjee, Subhashish, Center for Quantum Sciences, The Institute of Mathematical Sciences, Chennai 600113, and Indian Institute of Technology Rajasthan, Jodhpur 342011. Quantumness of noisy quantum walks: A comparison between measurement-induced disturbance and quantum discord. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.83.064302.
Rao, Balaji R, Srikanth, R, Chandrashekar, C M, Banerjee, Subhashish, Center for Quantum Sciences, The Institute of Mathematical Sciences, Chennai 600113, & Indian Institute of Technology Rajasthan, Jodhpur 342011. Quantumness of noisy quantum walks: A comparison between measurement-induced disturbance and quantum discord. United States. doi:10.1103/PHYSREVA.83.064302.
Rao, Balaji R, Srikanth, R, Chandrashekar, C M, Banerjee, Subhashish, Center for Quantum Sciences, The Institute of Mathematical Sciences, Chennai 600113, and Indian Institute of Technology Rajasthan, Jodhpur 342011. Wed . "Quantumness of noisy quantum walks: A comparison between measurement-induced disturbance and quantum discord". United States. doi:10.1103/PHYSREVA.83.064302.
@article{osti_21550232,
title = {Quantumness of noisy quantum walks: A comparison between measurement-induced disturbance and quantum discord},
author = {Rao, Balaji R and Srikanth, R and Chandrashekar, C M and Banerjee, Subhashish and Center for Quantum Sciences, The Institute of Mathematical Sciences, Chennai 600113 and Indian Institute of Technology Rajasthan, Jodhpur 342011},
abstractNote = {Noisy quantum walks are studied from the perspective of comparing their quantumness as defined by two popular measures, measurement-induced disturbance (MID) and quantum discord (QD). While the former has an operational definition, unlike the latter, it also tends to overestimate nonclassicality because of a lack of optimization over local measurements. Applied to quantum walks, we find that MID, while acting as a loose upper bound on QD, still tends to reflect correctly trends in the behavior of the latter. However, there are regimes where its behavior is not indicative of nonclassicality: in particular, we find an instance where MID increases with the application of noise, where we expect a reduction of quantumness.},
doi = {10.1103/PHYSREVA.83.064302},
journal = {Physical Review. A},
issn = {1050-2947},
number = 6,
volume = 83,
place = {United States},
year = {2011},
month = {6}
}