Entanglement, einstein-podolsky-rosen correlations, bell nonlocality, and steering

By S. J. Jones, Howard M. Wiseman, Andrew C. Doherty. 2007

444 citations recorded by the source corpus.

In a recent work [Phys. Rev. Lett. 98, 140402 (2007)] we defined "steering," a type of quantum nonlocality that is logically distinct from both nonseparability and Bell nonlocality. In the bipartite setting, it hinges on the question of whether Alice can affect Bob's state at a distance through her choice of measurement. More precisely and operationally, it hinges on the question of whether Alice, with classical communication, can convince Bob that they share an entangled state under the circumstances that Bob trusts nothing that Alice says. We argue that if she can, then this demonstrates the nonlocal effect first identified in the famous Einstein-Podolsky-Rosen paper [Phys. Rev. 47, 777 (1935)] as a universal effect for pure entangled states. This ability of Alice to remotely prepare Bob's state was subsequently called steering by Schrodinger, whose terminology we adopt. The phenomenon of steering has been largely overlooked, and prior to our work had not even been given a rigorous definition that is applicable to mixed states as well as pure states. Armed with our rigorous definition, we proved that steerable states are a strict subset of the entangled states, and a strict superset of the states that can exhibit Bell nonlocality. In this work we expand on these results and provide further examples of steerable states. We also elaborate on the connection with the original EPR paradox.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/df935ae7e530d83c64702a5055daec4b6af338fe

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Experimental EPR-steering using Bell-local states (2009, background): “Surprisingly, it has only recently been formalized as a quantum information task with arbitrary bipartite states and measurements [3, 4, 5], for which the existence of entanglement”
Multipartite Einstein–Podolsky–Rosen steering and genuine tripartite entanglement with optical networks (2014, background): “Wiseman et al [6, 7] have formalised the meaning of steering in terms of violations of local hidden state models, and revealed that the EPR paradox is a manifestation of quantum steering.”
Quantum steering (2019, background): “…states such as the Werner states and the isotropic states, the symmetry is then enough to uniquely single out an optimal choice of the LHS ensemble, rendering their exact characterizations of quantum steering with projective measurements possible (Jones et al., 2007; Wiseman et al., 2007).”
Quantum resource theories (2018, methodology): “Steering is a processes by which a bipartite quantum state ρAB is used to remotely prepare an ensemble of quantum states in system B, by performing local measurements on system A (Cavalcanti and Skrzypczyk, 2017; Jones et al., 2007; Wiseman et al., 2007).”
Loophole-free Einstein–Podolsky–Rosen experiment via quantum steering (2011, background): “ Alice's prediction. In order to make sure that the total statistics are incompatible with any model that assumes a local quantum state, Bob then tests the following steering inequality based on [6]: (1) Where ∑ (2) and , are defined similarly, is the probability that Alice obtains the result r”