Interconversion between block coherence and multipartite entanglement in many-body systems
Abstract
Coherence is intrinsically related to projective measurement. When the fixed projective measurement involves higher-rank projectors, the coherence resource is referred to as block coherence, which comes from the superposition of orthogonal subspaces. Here, we establish a set of quantitative relations for the interconversion between block coherence and multipartite entanglement under the framework of the block-incoherent operations. It is found that the converted multipartite entanglement is upper bounded by the initial block coherence of single-party system. Moreover, the generated multipartite entanglement can be transferred to its subsystems and restored to block coherence of the initial single-party system by means of local block-incoherent operations and classical communication. In addition, when only the coarse-grained quantum operations are accessible for the ancillary subsystems, we further demonstrate that a lossless resource interconversion is still realizable, and give a concrete example in three four-level systems. Our results provide a versatile approach to utilize different quantum resources in a cyclic fashion.
Cite
@article{arxiv.2404.13526,
title = {Interconversion between block coherence and multipartite entanglement in many-body systems},
author = {Yu-Hui Wang and Li-Hang Ren and Ming-Liang Hu and Yan-Kui Bai},
journal= {arXiv preprint arXiv:2404.13526},
year = {2024}
}