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  Channel discord and distortion

Zhang, W.-W., Sanders, Y. R., & Sanders, B. C. (2021). Channel discord and distortion. New Journal of Physics, (23): 083025. doi:10.1088/1367-2630/ac180a.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-73A1-F Version Permalink: https://hdl.handle.net/21.11116/0000-0009-73A2-E
Genre: Journal Article

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 Creators:
Zhang, Wei-Wei1, 2, 3, Author
Sanders, Yuval R.4, Author
Sanders, Barry C.5, 6, Author
Affiliations:
1Marquardt Division, Max Planck Institute for the Science of Light, Max Planck Society, Staudtstraße 2, 91058 Erlangen, DE, ou_2421700              
2Institute for Theoretical Physics II, FAU, Staudtstraße 7, 91058 Erlangen, DE, ou_persistent22              
3Centre for Engineered Quantum Systems, School of Physics, The University of Sydney, Sydney, Australia, ou_persistent22              
4Department of Physics and Astronomy and ARC Centre of Excellence for Engineered Quantum Systems, Macquarie University, Sydney, Australia, ou_persistent22              
5Shanghai Branch, National Center for Physical Sciences at Microscale, University of Science and Technology of China, Shanghai 201315, People’s Republic of China, ou_persistent22              
6Institute for Quantum Science and Technology, University of Calgary, Alberta, T2N 1N4, Canada, ou_persistent22              

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 Abstract: Discord, originally notable as a signature of bipartite quantum correlation, in fact can be nonzero
classically, i.e. arising from noisy measurements by one of the two parties. Here we redefine
classical discord to quantify channel distortion, in contrast to the previous restriction of classical
discord to a state, and we then show a monotonic relationship between classical (channel) discord
and channel distortion. We show that classical discord is equivalent to (doubly stochastic) channel
distortion by numerically discovering a monotonic relation between discord and total-variation
distance for a bipartite protocol with one party having a noiseless channel and the other party
having a noisy channel. Our numerical method includes randomly generating doubly stochastic
matrices for noisy channels and averaging over a uniform measure of input messages. Connecting
discord with distortion establishes discord as a signature of classical, not quantum, channel
distortion.

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Language(s): eng - English
 Dates: 2021-08-21
 Publication Status: Published online
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: DOI: 10.1088/1367-2630/ac180a
 Degree: -

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Title: New Journal of Physics
  Abbreviation : New J. Phys.
Source Genre: Journal
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Publ. Info: Bristol : IOP Publishing
Pages: - Volume / Issue: (23) Sequence Number: 083025 Start / End Page: - Identifier: ISSN: 1367-2630
CoNE: https://pure.mpg.de/cone/journals/resource/954926913666