The partial states of a multipartite quantum state may carry a lot of information: in some cases, they determine the global state uniquely. This result is known for tomographic information, that is for fully characterized measurements. We extend it to the device-independent framework by exhibiting sets of two-party correlations that self-test pure three-qubit states.
@article{arxiv.1808.02223,
title = {Self-testing using only marginal information},
author = {Xinhui Li and Yu Cai and Yunguang Han and Qiaoyan Wen and Valerio Scarani},
journal= {arXiv preprint arXiv:1808.02223},
year = {2018}
}