Abstract: The problem of quantum state discrimination is important in many applications of quantum information technology. In quantum mechanics, two states [ψ1] and [ψ2] can be discriminated if and only if they are orthogonal. The state-discrimination problem is examined in the context of [PT] quantum mechanics, the approach is based on the fact that a non-Hermitian [PT-]symmetric Hamiltonian determines the new inner product for the Hilbert space, description of the discrimination for the two states [ψ1] and [ψ2] are given. And it will be discussed in detail on the problem through examples.

Key words: state discrimination, [PT-]symmetry, non-Hermitian, measurement

摘要： 量子态的区分问题在量子信息技术中有许多重要应用。在量子力学中，两个态[ψ1]和[ψ2]可区分当且仅当它们正交，在[PT]量子理论的背景下考虑态的可区分性问题，基于一个非自伴但[PT-]对称的Hamiltonian量能够构造一个所在Hilbert空间的新内积的方法，给出了[ψ1]与[ψ2]可区分的刻画。通过例子对这个问题进行了详细讨论。

关键词: 态的区分, [PT-]对称, 非自伴, 测量