Efficient estimation of multipartite quantum coherence

Autor: He Lu, Ting Zhang, Xiao Yuan, Xiao-Xu Fang, Qi-Ming Ding
Rok vydání: 2020
Předmět:
DOI: 10.48550/arxiv.2010.02612
Popis: Quantification of coherence lies at the heart of quantum information processing and fundamental physics. Exact evaluation of coherence measures generally needs a full reconstruction of the density matrix, which becomes intractable for large-scale multipartite systems. Here, we propose a systematic theoretical approach to efficiently estimating lower and upper bounds of coherence in multipartite states. Under the stabilizer formalism, the lower bound is determined by the spectrum estimation method with a small number of measurements and the upper bound is determined by a single measurement. We verify our theory with a four-qubit optical quantum system.We experimentally implement various multi-qubit entangled states, including the Greenberger-Horne-Zeilinger state, the cluster state, and the W state, and show how their coherence are efficiently inferred from measuring few observables.
Comment: 13 pages, 8 figures. Comments are welcome
Databáze: OpenAIRE