Korzekwa, K, Lostaglio, M, Jennings, D orcid.org/0000-0003-1201-3725 et al. (1 more author) (2014) Quantum and classical entropic uncertainty relations. Physical Review A, 89 (4). 042122. ISSN 1050-2947
Abstract
How much of the uncertainty in predicting measurement outcomes for noncommuting quantum observables is genuinely quantum mechanical? We provide a natural decomposition of the total entropic uncertainty of two noncommuting observables into a classical component and an intrinsically quantum mechanical component. We show that the total quantum component in a state is never lower or upper bounded by any state-independent quantities, but instead admits “purity-based” lower bounds that generalize entropic formulations such as the Maassen-Uffink relation. These relations reveal a nontrivial interplay between quantum and classical randomness in any finite-dimensional state.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2014 American Physical Society. Reproduced in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Physics and Astronomy (Leeds) > Theoretical Physics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 07 Feb 2019 16:38 |
Last Modified: | 07 Feb 2019 16:38 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PhysRevA.89.042122 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:139400 |