title: General existence of locally distinguishable maximally entangled states only with two-way classical communication.
abstract: It is known that there exist two locally operational settings, local operations with one-way and two-way classical communication. And recently, some sets of maximally entangled states have been built in specific dimensional quantum systems, which can be locally distinguished only with two-way classical communication. In this paper, we show the existence of such sets is general, through constructing such sets in all the remaining quantum systems. Specifically, such sets including p or n maximally entangled states will be built in the quantum system of (np - 1) ⊗ (np - 1) with n ≥ 3 and p being a prime number, which completes the picture that such sets do exist in every possible dimensional quantum system.
authors.affiliation: State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China.|State Key Laboratory of Cryptology, P.O. Box 5159, Beijing, 100878, China.
authors.forename: Guojing
authors.initials: G
authors.lastname: Tian
authors.affiliation: State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China.
authors.forename: Xia
authors.initials: X
authors.lastname: Wu
authors.affiliation: State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China.
authors.forename: Ya
authors.initials: Y
authors.lastname: Cao
authors.affiliation: State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China.
authors.forename: Fei
authors.initials: F
authors.lastname: Gao
authors.affiliation: State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China.
authors.forename: Qiaoyan
authors.initials: Q
authors.lastname: Wen