In quantum information processing, using a receiver device to differentiate between two nonorthogonal states leads to a quantum error probability. The minimum possible error is known as the Helstrom bound. In this work, we study statistical aspects and quantum limits for states that generalize the Glauber–Sudarshan coherent states, such as nonlinear, Perelomov, Barut–Girardello, and (modified) Susskind–Glogower coherent states. For some of these, we show that the Helstrom bound can be significantly lowered and even vanish in specific regimes.

中文翻译：

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降低非标准相干态的 Helstrom 界限

在量子信息处理中，使用接收器设备区分两个非正交状态会导致量子错误概率。最小可能的误差称为 Helstrom 界限。在这项工作中，我们研究了概括 Glauber-Sudarshan 相干态的状态的统计方面和量子极限，例如非线性、Perelomov、Barut-Girardello 和（修改后的）Susskind-Glogower 相干态。对于其中一些，我们表明 Helstrom 界可以显着降低，甚至在特定情况下消失。