Abstract:
Judgment space can be used to determine the local discrimination of a pair of multiple orthogonal entanglement states in high dimensional quantum bit system, if their corresponding judgment space is orthogonal, then this pair of states can be unambiguously discriminated. According to the properties and conditions of the judgment space, we can find a set of quantum entangled states which can resist unambiguous attacks. In this paper, we constructed seven kinds of quantum entangled states which have five particles, and calculated the judgment space, and put forward the judgment rules of judgment space. Based on these rules, this paper studies the local discriminability of these seven five particle entanglement states, and then proposes a (4,5)-threshold scheme of quantum secret sharing.