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.
Autorzy
- Andrzej Grudka,
- Michał Horodecki,
- prof. dr hab. Paweł Horodecki link otwiera się w nowej karcie ,
- Ryszard Horodecki,
- Waldemar Kłobus,
- Łukasz Pankowski
Informacje dodatkowe
- Kategoria
- Publikacja w czasopiśmie
- Typ
- artykuł w czasopiśmie wyróżnionym w JCR
- Język
- angielski
- Rok wydania
- 2013
Źródło danych: MOSTWiedzy.pl - publikacja "Conjectured strong complementary-correlations tradeoff" link otwiera się w nowej karcie