Channel Steering
arXiv:1411.0397 · doi:10.1364/JOSAB.32.0000A1
Abstract
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 how the proposed notion of lack of coherence of channel extensions coincides with the notion of channel extensions realized via local operations and classical communication. We also discuss how the Choi-Jamiolkowski isomorphism allows the direct application of many results about states to the case of channels. We introduce measures for the steerability of channel extensions.
8 pages
References in corpus (13)
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
- General Entanglement Breaking Channels
- Entanglement, EPR-correlations, Bell-nonlocality, and Steering
- Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
- Quantifying Einstein-Podolsky-Rosen steering
- Ancilla-assisted quantum process tomography
- Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality
- All Entangled Quantum States Are Nonlocal
- Joint measurability of generalized measurements implies classicality
- Quantum broadcast channels
- Experimental demonstration of the Einstein-Podolsky-Rosen steering game based on the All-Versus-Nothing proof
- Entanglement verification and steering when Alice and Bob cannot be trusted
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- The type-independent resource theory of local operations and shared randomness
- Temporal steering and security of quantum key distribution with mutually-unbiased bases against individual attacks
- Continuous variable steering and incompatibility via state-channel duality
- Quantifying Quantumness of Channels Without Entanglement
- Type-independent Characterization of Spacelike Separated Resources
- A channel-based framework for steering, non-locality and beyond
- Genuine Multipartite Entanglement in Time
- Quantification of quantum dynamics with input-output games
- Unified picture for spatial, temporal and channel steering
- Postquantum common-cause channels: the resource theory of local operations and shared entanglement
- Quantifying EPR: the resource theory of nonclassicality of common-cause assemblages
- EPR Steering inequalities with Communication Assistance
- Incompatibility as a resource for programmable quantum instruments
- The resource theory of nonclassicality of channel assemblages
- Measurement incompatibility and Channel Steering
- On the pure state outcomes of Einstein-Podolsky-Rosen steering
- Measurement-device-independent verification of channel steering
- Unified Approach to Witness Nonentanglement-Breaking Quantum Channels
- Activation of post-quantumness in bipartite generalised EPR scenarios