# Channel Steering

@article{Piani2014ChannelS, title={Channel Steering}, author={Marco Piani}, journal={Journal of The Optical Society of America B-optical Physics}, year={2014} }

We introduce and study the notion of steerability for channels. This generalizes the notion of steerability of bipartite quantum states. We discuss a key conceptual difference between the case of states and the case of channels: while state steering deals with the notion of “hidden” states, steerability in the channel case is better understood in terms of coherence of channel extensions, rather than in terms of “hidden” channels. This distinction vanishes in the case of states. We further argue…

## 22 Citations

Measurement-device-independent verification of channel steering

- Computer SciencePhysical Review A
- 2020

This work obtains Choi matrices from given channels and uses the canonical method of measurement-device-independent verification of quantum steering to verify channel steering, and finds that the threshold of the undesired noise that one can tolerate is bounded from below by steering robustness.

A channel-based framework for steering, non-locality and beyond

- Physics
- 2017

Non-locality and steering are both non-classical phenomena witnessed in Nature as a result of quantum entanglement. It is now well-established that one can study non-locality independently of the…

EPR Steering inequalities with Communication Assistance

- Computer ScienceScientific reports
- 2016

The set of bipartite quantum states which admits a local hidden state model augmented with c bits of classical communication from an untrusted party (Alice) to a trusted party (Bob) is characterized and it is conjectured that a state-of-the-art quantum experiment would be able to falsify two bits of communication this way.

Unified picture for spatial, temporal, and channel steering

- Physics
- 2017

Quantum steering describes how local actions on a quantum system can affect another, space-like separated, quantum state. Lately, quantum steering has been formulated also for time-like scenarios and…

Quantifying quantumness of channels without entanglement

- Physics
- 2022

Quantum channels breaking entanglement, incompatibility, or nonlocality are deﬁned as such because they are not useful for entanglement-based, one-sided device-independent, or device-independent…

Detecting quantum non-breaking channels without entanglement

- Physics
- 2021

Huan-Yu Ku,1, 2, ∗ Josef Kadlec,3 Antonı́n Černoch,4 Wenbin Zhou,5 Karel Lemr,3 Neill Lambert,2 Adam Miranowicz,6, 2 Shin-Liang Chen,1, 7, † Franco Nori,2, 8, 9 and Yueh-Nan Chen1, 2, ‡ Department of…

Quantifying Non-Markovianity with Temporal Steering.

- MathematicsPhysical review letters
- 2016

A useful property of the temporal steerable weight is found that it is a nonincreasing function under completely positive trace-preserving maps and can be used to define a sufficient and practical measure of strong non-Markovianity.

Pure steered states of Einstein-Podolsky-Rosen steering

- Computer Science
- 2017

This work studies the subset of steered states which are pure after normalisation, and illustrates that these pure steered states, if they exist, often carry interesting information about the shared bipartite state.

Verifying the quantumness of a channel with an untrusted device

- Computer Science
- 2015

This perspective sheds light on why the BB84 key distribution protocol can be secure, even with an untrusted measuring device, leading to an uncertainty relation for arbitrary pairs of ensembles.

Quantification of quantum dynamics with input-output games

- EconomicsPhysical Review A
- 2020

Recent developments surrounding resource theories have shown that any quantum state or measurement resource, with respect to a convex (and compact) set of resourceless objects, provides an advantage…

## References

SHOWING 1-10 OF 23 REFERENCES

The Resource Theory of Steering

- MathematicsTQC
- 2015

An operational framework for Einstein-Podolsky-Rosen steering as a physical resource is presented and it is proved that two previously proposed quantifiers, the steerable weight and the robustness of steering, are also convex steering monotones.

Quantum Broadcast Channels

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This work extends the technique of superposition coding to quantum channels with a classical input to give a general achievable region and uses state merging to give achievable rates for establishing bipartite entanglement between different pair of parties with the assistance of free classical communication.

Steering, entanglement, nonlocality, and the Einstein-Podolsky-Rosen paradox.

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An operational definition is provided, from which it is proved that steerable states are a strict subset of the entangled states, and a strict superset of the states that can exhibit Bell nonlocality.

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It is shown that, as a consequence of this result, such a class of nonlocal games is able to witness quantum entanglement, however weak, and reveal nonlocality in any entangled quantum state.

Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements

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Steering is the entanglement-based quantum effect that embodies the “spooky action at a distance” disliked by Einstein and scrutinized by Einstein, Podolsky, and Rosen. Here we provide a necessary…

Entanglement verification and steering when Alice and Bob cannot be trusted

- Physics
- 2013

Various protocols exist by which a referee can be convinced that two observers share an entangled resource. Such protocols typically specify the types of communication allowed, and the degrees of…

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.

Joint measurability, Einstein-Podolsky-Rosen steering, and Bell nonlocality.

- PhysicsPhysical review letters
- 2014

It is shown that a set of measurements is not jointly measurable if and only if it can be used for demonstrating Einstein-Podolsky-Rosen steering, a form of quantum nonlocality, and shown that it does not violate a large class of Bell inequalities.

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This paper studies the class of stochastic maps, or channels, for which (I⊗Φ)(Γ) is always separable (even for entangled Γ). Such maps are called entanglement breaking, and can always be written in…

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

- Physics
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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…