Scientific article
English

Sufficient criterion for guaranteeing that a two-qubit state is unsteerable

Publication date2016
Abstract

Quantum steering can be detected via the violation of steering inequalities, which provide sufficient conditions for the steerability of quantum states. Here we discuss the converse problem, namely ensuring that a state is unsteerable, and hence Bell local. We present a simple criterion, applicable to any two-qubit state, which guarantees that the state admits a local hidden state model for arbitrary projective measurements. We find new classes of unsteerable entangled states, which can thus not violate any steering or Bell inequality. In turn, this leads to sufficient conditions for a state to be only one-way steerable, and provides the simplest possible example of one-way steering. Finally, by exploiting the connection between steering and measurement incompatibility, we give a sufficient criterion for a continuous set of qubit measurements to be jointly measurable.

Note7 pages
Research groups
Citation (ISO format)
BOWLES, Joseph et al. Sufficient criterion for guaranteeing that a two-qubit state is unsteerable. In: Physical review, A, Atomic, molecular, and optical physics, 2016, vol. 93, n° 022121. doi: 10.1103/PhysRevA.93.022121
Main files (2)
Article (Submitted version)
accessLevelPublic
Article (Published version)
accessLevelRestricted
Identifiers
Journal ISSN1050-2947
649views
772downloads

Technical informations

Creation10/06/2016 12:49:00
First validation10/06/2016 12:49:00
Update04/04/2025 12:57:46
Status update27/11/2024 15:33:07
Last indexation04/04/2025 12:58:11
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack