Conjectured strong complementary-correlations tradeoff

Andrzej Grudka; Michał Horodecki; Paweł Horodecki; Ryszard Horodecki; Waldemar Kłobus; Łukasz Pankowski

Conjectured strong complementary-correlations tradeoff

Abstract

We conjecture uncertainty relations that restrict correlations between the results of measurements performed by two separate parties on a shared quantum state. The first uncertainty relation bounds the sum of two mutual informations when one party measures a single observable and the other party measures one of two observables. The uncertainty relation does not follow from the Maassen-Uffink uncertainty relation and is much stronger than the Hall uncertainty relation derived from the latter. The second uncertainty relation bounds the sum of two mutual informations when each party measures one of two observables. We provide numerical evidence for the validity of the conjectured uncertainty relations, and we prove them for large classes of states and observables.

Authors (6)

Andrzej Grudka
- Adam Mickiewicz University Faculty of Physics
Michał Horodecki
- University of Gdańsk Institute for Theoretical Physics and Astrophysics
Paweł Horodecki prof. dr hab.
Ryszard Horodecki
- . .
Waldemar Kłobus
- . .
Łukasz Pankowski
- University of Gdańsk Institute for Theoretical Physics and Astrophysics

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: PHYSICAL REVIEW A no. 88, edition 3, pages 1 - 6,
ISSN: 2469-9926
Language:: English
Publication year:: 2013
Bibliographic description:: Grudka A., Horodecki M., Horodecki P., Horodecki R., Kłobus W., Pankowski Ł.: Conjectured strong complementary-correlations tradeoff// PHYSICAL REVIEW A. -Vol. 88, iss. 3 (2013), s.1-6
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