二元决策问题中最优贝叶斯代价的另一种研究
Another look at the optimal Bayes cost in the binary decision problem
摘要:
考虑了方势阱中粒子的两个波函数之间的量子态判别问题。已知状态判别的最优最小误差概率由Helstrom界给出。一个新的策略是在这里引入的方井被压缩等能,修改波函数。然后用传统的最优策略对新的收缩腔进行探测,并计算了误差概率。结果表明,在某些情况下,可以违反Helstrom界,即状态判别可以实现较小的错误概率。
英文摘要:
The problem of quantum state discrimination between two wave functions of a particle in a square well potential is considered. The optimal minimum-error probability for the state discrimination is known to be given by the Helstrom bound. A new strategy is introduced here whereby the square well is compressed isoenergetically, modifying the wave-functions. The new contracted chamber is then probed using the conventional optimal strategy, and the error probability is calculated. It is shown that in some cases the Helstrom bound can be violated, i.e. the state discrimination can be realized with a smaller error probability.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。