Abstract
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.
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