2018/11/29 by Mao-Sheng Li, Yan-Ling Wang · 12 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Computer science #Discrete mathematics #LOCC #Mathematics #Molecular Junctions and Nanostructures #Multipartite #Multipartite entanglement #Physics #Product (mathematics) #Quantum #Quantum Information and Cryptography #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Quantum optics and atomic interactions #Set (abstract data type) #Squashed entanglement #quant-ph
paper · pdf · doi:10.1103/physreva.98.052352
published in Physical Review A 98(5) (American Physical Society) · 7 pages, 2 figures
openalex publication_date 2018/11/29 · arxiv created 2019/02/21 · arxiv updated 2019/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We can only perform finite rounds of measurements in protocols with local operations and classical communication (LOCC). In this paper, we propose a set of product states that require infinite rounds of measurements in order to distinguish this given set of states perfectly by LOCC. Therefore, we can conclude that these sets of states are locally indistinguishable. More accurately, given any multipartite LOCC indistinguishable set where every local system cannot start with a nontrivial measurement, then after appending these states with arbitrarily choosing two nonorthogonal states, we obtain another LOCC indistinguishable set. It can be seen that some parties can perform some nontrivial measurements. Hence, these sets are quite different from those constructed before. This result broadens the knowledge of nonlocality without entanglement to a certain extent.