# Quantum steering

@article{Uola2020QuantumS, title={Quantum steering}, author={Roope Uola and Ana C. S. Costa and H. Chau Nguyen and Otfried G{\"u}hne}, journal={Reviews of Modern Physics}, year={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 point is the fact that one party can influence the wave function of the other party by performing suitable measurements. He called this phenomenon quantum steering and studied its properties, but only in the last years this kind of quantum correlation attracted significant interest in quantum…

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## 158 Citations

### Reliable experimental certification of one-way Einstein-Podolsky-Rosen steering

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An experiment demonstrating one-way steering for the two-qubit entangled system based on a newly-developed orbital angular momentum platform is reported, which resolves the subtlety in the dimensionality and further the ambiguity in existing data of previous demonstrations, and provides a universal method to characterize one- way steering effect for two- qubit states.

### Quantum Steering: Practical Challenges and Perspectives

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### General Schemes for Quantum Entanglement and Steering Detection

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This paper proposes a general method to detect entanglement via arbitrary measurement X, by which several novel criteria are established and an extension of symmetric informationally complete positive operator-valued measures (SIC-POVM), viz. symmetric complete measurements (SCM), is proposed, and employed to reconstruct the quantum state analytically.

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It is shown that at most two bipartite reduced states of a three qubit state can violate the three settings CJWR linear steering inequality contrary to two settings Linear steering inequality, explaining that quantum steering correlations have limited shareability properties.

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This work forms the EPR paradox in the framework of quantum metrology, showing that it enables the precise estimation of a local phase shift and of its generating observable, and derives a criterion based on the quantum Fisher information that detects steering in a larger class of states than well-known uncertainty-based criteria.

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Quantum steering has been exploited as an important resource in modern quantum information processing. Owing to its directional nature, some quantum states that are asymmetric under the exchange of…

## References

SHOWING 1-10 OF 236 REFERENCES

### Geometry of Einstein-Podolsky-Rosen Correlations.

- PhysicsPhysical review letters
- 2019

It is shown that quantum steering can be viewed as an inclusion problem in convex geometry, and for the case of two spin-1/2 particles, this approach completely characterizes the set of states leading to EPR steering.

### Necessary and sufficient quantum information characterization of Einstein-Podolsky-Rosen steering.

- PhysicsPhysical review letters
- 2015

It is proved that, for any bipartite steerable state, there are instances of the quantum subchannel discrimination problem for which this state allows a correct discrimination with strictly higher probability than in the absence of entanglement, even when measurements are restricted to local measurements aided by one-way communication.

### Optimal measurement for quantum discord of two-qubit states

- Physics
- 2012

We present a complete treatment for the quantum discord of two-qubit X states, by developing a geometric picture of a quantum steering ellipsoid. It is shown that either a von Neumann measurement or…

### Hierarchy of Steering Criteria Based on Moments for All Bipartite Quantum Systems.

- Computer SciencePhysical review letters
- 2015

This work provides a hierarchy of sufficient conditions for the steerability of bipartite quantum states of any dimension, including continuous variable states, and provides a systematic framework to analytically derive nonlinear steering criteria.

### Quantum steering: a review with focus on semidefinite programming

- Computer ScienceReports on progress in physics. Physical Society
- 2017

This review gives an overview of how to characterise quantum steering through semidefinite programming, which provides efficient numerical methods to address a number of problems, including steering detection, quantification, and applications.

### Steering bound entangled States: a counterexample to the stronger Peres conjecture.

- PhysicsPhysical review letters
- 2014

A method is provided to generate systematically bound entangled quantum states which can still be used for steering and, therefore, to rule out local hidden state models and sheds light on the relations between the various views on quantum correlations.

### Quantification of Gaussian quantum steering.

- Computer SciencePhysical review letters
- 2015

A computable measure of steering for arbitrary bipartite Gaussian states of continuous variable systems is introduced, which reduces to a form of coherent information, which is proven never to exceed entanglement, and to reduce to it on pure states.

### All quantum states useful for teleportation are nonlocal resources

- Physics
- 2013

Understanding the relation between the different forms of inseparability in quantum mechanics is a longstanding problem in the foundations of quantum theory and has implications for quantum…

### Quantifying Einstein-Podolsky-Rosen steering.

- PhysicsPhysical review letters
- 2014

It is shown that every pure entangled state is maximally steerable and the projector onto the antisymmetric subspace is maximALLY steerable for all dimensions; a new example of one-way steering is provided and strong support is given that states with positive-partial transposition are not steerable.

### Steering Maps and Their Application to Dimension-Bounded Steering.

- Computer SciencePhysical review letters
- 2016

The concept of steering maps is introduced, which allow us to unlock sophisticated techniques that were developed in regular entanglement detection and to use them for certifying steerability and enables a generalized dimension-bounded steering.