摘要
It has been shown that for two different multipartite unitary operations U_1 and U_2, when tr(U_1~?U_2) = 0, they can always be perfectly distinguished by local operations and classical communication in the single-run scenario. However, how to find the detailed scheme to complete the local discrimination is still a fascinating problem. In this paper, aiming at some U_1 and U_2 acting on the bipartite and tripartite space respectively, especially for U_1~?U_2 locally unitary equivalent to the high dimensional X-type hermitian unitary matrix V with trV = 0, we put forward the explicit local distinguishing schemes in the single-run scenario.
It has been shown that for two different multipartite unitary operations U1 and U2, when tr（U1^＋ U2） = 0, they can always be perfectly distinguished by local operations and classical communication in the single-run scenario. However, how to find the detailed scheme to complete the local discrimination is still a fascinating problem. In this paper, aiming at some U1 and U2 acting on the bipartite and tripartite space respectively, especially for U1 U2 locally unitary equivalent to the high dimensional X-type hermitian unitary matrix V with trV = 0, we put forward the explicit local distinguishing schemes in the single-run scenario.
基金
supported by the National Natural Science Foundation of China(Grants Nos.61272057 and 61572081)
the Beijing Higher Education Young Elite Teacher Project(Grants Nos.YETP0475 and YETP0477)
the Natural Science Foundation of Shaanxi Province of China(Grant No.2015JM6263)
