A1 Refereed original research article in a scientific journal

Pure steered states of Einstein-Podolsky-Rosen steering




AuthorsNguyen H Chau, Luoma Kimmo

PublisherAMER PHYSICAL SOC

Publication year2017

JournalPhysical Review A

Journal name in sourcePHYSICAL REVIEW A

Journal acronymPHYS REV A

Article numberARTN 042117

Volume95

Issue4

Number of pages7

ISSN2469-9926

DOIhttps://doi.org/10.1103/PhysRevA.95.042117


Abstract
In the Einstein-Podolsky-Rosen experiment, when Alice makes a measurement on her part of a bipartite system, Bob's part is collapsed to, or steered to, a specific ensemble. Moreover, by reading her measurement outcome, Alice can specify which state in the ensemble Bob's system is steered to and with which probability. The possible states that Alice can steer Bob's system to are called steered states. In this work, we study the subset of steered states which are pure after normalization. We illustrate that these pure steered states, if they exist, often carry interesting information about the shared bipartite state. This information content becomes particularly clear when we study the purification of the shared state. Some applications are discussed. These include a generalization of the fundamental lemma in the so-called "all-versus-nothing proof of steerability" for systems of arbitrary dimension.



Last updated on 2024-26-11 at 15:19