School of Computational Sciences, Korea Institute for Advanced Study, Seoul, 130-012, Republic of Korea.
Phys Rev Lett. 2011 Oct 21;107(17):170403. doi: 10.1103/PhysRevLett.107.170403. Epub 2011 Oct 20.
We provide a general framework of utilizing the no-signaling principle in derivation of the guessing probability in the minimum-error quantum state discrimination. We show that, remarkably, the guessing probability can be determined by the no-signaling principle. This is shown by proving that, in the semidefinite programing for the discrimination, the optimality condition corresponds to the constraint that quantum theory cannot be used for a superluminal communication. Finally, a general bound to the guessing probability is presented in a closed form.
我们提供了一个利用无信号原理推导最小误差量子态判别中猜测概率的一般框架。我们表明,令人惊讶的是,猜测概率可以由无信号原理确定。这是通过证明在判别中的半定规划中,最优条件对应于量子理论不能用于超光速通信的约束条件来证明的。最后,以封闭形式给出了猜测概率的一般界限。