Quantum jump codes and related combinatorial designs

Quantum jump codes were introduced by Alber et al. (2001). Quantum jump codes have a close connection with combinatorial designs called t-SEED (t-spontaneaus emission error design). In this paper, we give a brief survey of a quantum jump code together with some new results. Firstly, fundamental properties of a terror correcting quantum jump code are described. Secondly, a few examples of jump codes are given and an upperbound of dimension of a jump code with a fixed length and given error correcting ability is shown. Moreover, a relation between an t-SEED and a jump code is discussed and various constructions of t-SEEDs are given.