Super-Activation of Quantum Steering

Abstract

We consider Einstein-Podolsky-Rosen steering in the regime where the parties can perform collective measurements on many copies of a given shared entangled state. We derive a simple and efficient condition for guaranteeing that an entangled state is $k$-copy steerable. In particular we show that any two-qubit and qubit-qutrit entangled states is $k$-copy steerable. This allows us to discuss the effect of super-activation of steering, whereby an entangled state that is unsteerable (i.e., admits a local hidden state model) in the one-copy regime becomes $k$-copy steerable. We provide examples with few copies and low dimensions. Our results give evidence that entanglement and steering could become equivalent in the multi-copy regime.

arXiv comment8 pages, 1 figure

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• Most incompatible measurements for robust steering tests
• Complete classification of steerability under local filters and its relation with measurement incompatibility
• Revealing of hidden quantum steerability using local filtering operations
• Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems
• Distillation of quantum steering
• Resource Preservability
• Semi-device-independent certification of entanglement in superdense coding
• Communication, Dynamical Resource Theory, and Thermodynamics
• Quantum coherence fraction
• Deep learning the hierarchy of steering measurement settings of qubit-pair states
• Thermodynamic Approach to Quantifying Incompatible Instruments
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• General quantum resources providing advantages in work-extraction tasks
• Entanglement Superactivation in Multiphoton Distillation Networks