512 citations
- The Ohio State UniversityUS9 papers
- University of CincinnatiUS9 papers
- Centre National de la Recherche ScientifiqueFR8 papers
- University of MiamiUS8 papers
- University of WashingtonUS8 papers
- University of MissouriUS6 papers
- Hebrew University of JerusalemIL5 papers
- Northwestern UniversityUS5 papers
- Rutgers, The State University of New JerseyUS5 papers
- Sorbonne UniversitéFR5 papers
- Central South UniversityCN4 papers
- Imperial College LondonGB4 papers
4 papers · 1 filter
Gundy's decomposition for non-commutative martingales and applications
Javier Parcet, Narcisse Randrianantoanina
We provide an analogue of Gundy's decomposition for L1-bounded non-commutative martingales. An important difference from the classical case is that for any L1-bounded non-commutati…
Entangled and disentangled evolution for a single atom in a driven cavity
J. Gea-Banacloche, T. C. Burt, P. R. Rice +1
For an atom in an externally driven cavity, we show that special initial states lead to near-disentangled atom-field evolution, and superpositions of these can lead to near maximal…
A weak-type inequality for non-commutative martingales and applications
Narcisse Randrianantoanina
We prove a weak-type (1,1) inequality for square functions of non-commutative martingales that are simultaneously bounded in and . More precisely, the following non-comm…
Asymptotic Improvement of the Gilbert-Varshamov Bound on the Size of Binary Codes
Tao Jiang, Alexander Vardy
Given positive integers and , let denote the maximum size of a binary code of length and minimum distance . The well-known Gilbert-Varshamov bound asserts…