PT-对称中量子态的区分

PT-symmetric quantum state discrimination

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。

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-discrim-ination problem is examined in the context of PT quantum mechanics, the approach is based on the fact that a non-Hermi-tian 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.