Multipartite entanglement states of higher uniformity
Shanqi Pang, Zhang Xiao, Jiao Du, Tian‐Yin Wang · Journal of Physics A Mathematical and Theoretical · 2020
Abstract In this study, we provide a positive answer to the problem of whether N -qubit pure quantum states exist in which all k -body reduced density are maximally mixed for k < ⌊ N 2 ⌋ in [1]. In addition, for k ⩾ 4 and any d , there exists an integer N 0 ( k , d ) such that whenever N ⩾ N 0 ( k , d ), we can construct a series of infinite classes of k -uniform states of N qudits with any level d , including infinitely many absolutely maximally entangled states.