# Quantum steering: a review with focus on semidefinite programming

@article{Cavalcanti2017QuantumSA, title={Quantum steering: a review with focus on semidefinite programming}, author={Daniel Cavalcanti and Paul Skrzypczyk}, journal={Reports on Progress in Physics}, year={2017}, volume={80} }

Quantum steering refers to the non-classical correlations that can be observed between the outcomes of measurements applied on half of an entangled state and the resulting post-measured states that are left with the other party. From an operational point of view, a steering test can be seen as an entanglement test where one of the parties performs uncharacterised measurements. Thus, quantum steering is a form of quantum inseparability that lies in between the well-known notions of Bell…

## 278 Citations

Applications of EPR steering in quantum teleportation and NOON states

- Physics
- 2018

Einstein-Podolsky-Rosen (EPR) steering refers to the type of correlations described in the EPR paradox, where one observer seems to affect (”steer”) the state of other observer by using local…

Experimental Demonstration of Entropic Steering

- Physics2019 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)
- 2019

In a quantum steering task, the correlations of Alice and Bob's measurement outcomes are tested against a classical probability bound which can be only violated if the state shared between the parties is quantum steerable.

Quantum steering

- PhysicsReviews of Modern Physics
- 2020

Quantum correlations between two parties are essential for the argument of Einstein, Podolsky, and Rosen in favour of the incompleteness of quantum mechanics. Schr\"odinger noted that an essential…

Quantum steering in tripartite quantum systems

- PhysicsSCIENTIA SINICA Physica, Mechanica & Astronomica
- 2018

Two types of quantum steering scenarios are introduced for a tripartite quantum system, named “one-sided device-independent steering" and “two-sidedDevice- independent steering", which contains two levels according to the separability of the local hidden states and the independence of theLocal hidden variables, respectively.

Generalized Steering Robustness of Bipartite Quantum States

- Computer Science
- 2018

A way of quantifying quantum steering, which is called the generalized steering robustness (GSR), is introduced and some interesting properties are established, including that every maximally entangled state has the maximal GSR.

High-dimensional measurement-device-independent quantum steering and its application in randomness generation

- Physics
- 2018

In a measurement-device-independent or quantum-refereed protocol, a referee can verify whether two parties share entanglement or Einstein-Podolsky-Rosen (EPR) steering without the need to trust…

Experimental Measurement-Device-Independent Quantum Steering and Randomness Generation Beyond Qubits.

- PhysicsPhysical review letters
- 2019

The trust-free experimental verification of higher dimensional quantum steering is reported via preparing a class of entangled photonic qutrits and 1.106±0.023 bits of private randomness per every photon pair are extracted from observed data, which surpasses the one-bit limit for projective measurements performed on qubit systems.

Exposure of subtle multipartite quantum nonlocality

- Physicsnpj Quantum Information
- 2021

It is shown that a naively defined criterion for multipartite steering allows for a contradictory effect whereby local operations could create steering seemingly from scratch, and protocols are devised that are able to reveal, in seemingly unsteerable systems, not only steering, but also Bell nonlocality.

Operational characterization of quantumness of unsteerable bipartite states

- PhysicsPhysical Review A
- 2018

Recently, the quantumness of local correlations arising from separable states in the context of a Bell scenario has been studied and linked with superlocality [Phys. Rev. A {\bf 95}, 032120 (2017)].…

Measures and applications of quantum correlations

- Physics, Computer Science
- 2016

This work gives an overview of the current quest for a proper understanding and characterisation of the frontier between classical and quantum correlations (QCs) in composite states, and focuses on various approaches to define and quantify general QCs, based on different yet interlinked physical perspectives.

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