  This review offers a comprehensive exploration and synthesis of recent
advancements in the domain of quantum correlation sharing facilitated through
sequential measurements. We initiate our inquiry by delving into the
interpretation of the joint probability, laying the foundation for an
examination of quantum correlations within the context of specific measurement
methods. The subsequent section meticulously explores nonlocal sharing under
diverse measurement strategies and scenarios, with a specific focus on
investigating the impact of these strategies on the dissemination of quantum
nonlocality. Key perspectives such as "asymmetry" and "weak value" are
scrutinized through detailed analyses across various scenarios, allowing us to
evaluate the potential of nonlocality sharing. We also provide a retrospective
overview of experimental endeavors associated with this phenomenon. The third
part of our exploration presents research findings on steering sharing,
offering clarity on the feasibility of steering sharing and summarizing the
distinctive properties of quantum steering sharing in different scenarios.
Continuing our journey, the fourth section delves into discussions on the
sharing of diverse quantum correlations, encompassing network nonlocality,
quantum entanglement, and quantum contextuality. Moving forward, the fifth
section conducts a comprehensive review of the progress in the application of
quantum correlation sharing, specifically based on sequential measurement
strategies. Applications such as quantum random access coding, random number
generation, and self-testing tasks are highlighted. Finally, we discuss and
list some of the key unresolved issues in this research field, and conclude the
entire article.
