Sharing EPR steering between sequential pairs of observers

TL;DR

This paper investigates the sharing of EPR steering between sequential observer pairs, demonstrating that an unbounded number of pairs can share steering with pure entangled states, extending understanding beyond previous nonlocality sharing results.

Contribution

It reveals that EPR steering can be shared among unlimited sequential pairs using pure entangled states, a novel insight in quantum correlation sharing.

Findings

Unbounded sharing of EPR steering among sequential pairs.

Sharing is possible with certain mixed entangled states.

Extends the concept of quantum correlation sharing beyond nonlocality.

Abstract

The recycling of quantum correlations has attracted widespread attention both theoretically and experimentally. Previous works show that bilateral sharing of nonlocality is impossible under mild measurement strategy and 2-qubit entangled state can be used to witness entanglement arbitrary many times by sequential and independent pairs of observers. However, less is known about the bilateral sharing of EPR steering yet. Here, we aim at investigating the EPR steering sharing between sequential pairs of observers. We show that an unbounded number of sequential Alice-Bob pairs can share the EPR steering as long as the initially shared state is an entangled two-qubit pure state. The claim is also true for particular class of mixed entangled states.