Quantumness of noisy quantum walks: A comparison between measurementinduced disturbance and quantum discord
Abstract
Noisy quantum walks are studied from the perspective of comparing their quantumness as defined by two popular measures, measurementinduced 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:

 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 10502947
 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 measurementinduced 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 measurementinduced 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 measurementinduced disturbance and quantum discord". United States. doi:10.1103/PHYSREVA.83.064302.
@article{osti_21550232,
title = {Quantumness of noisy quantum walks: A comparison between measurementinduced 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, measurementinduced 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 = {10502947},
number = 6,
volume = 83,
place = {United States},
year = {2011},
month = {6}
}
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