Lowering Helstrom Bound with non-standard coherent states

• URL: http://arxiv.org/abs/2010.00171v1
• Date: Thu, 1 Oct 2020 01:51:58 GMT
• Title: Lowering Helstrom Bound with non-standard coherent states
• Authors: Evaldo M. F. Curado, Sofiane Faci, Jean-Pierre Gazeau and Diego Noguera
• Abstract summary: We study and compare quantum limits for states which generalize the Glauber-Sudarshan coherent states. We show that the Helstrom bound can be significantly lowered and even vanish in specific regimes.
• Score: 0.3441021278275805
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 and compare quantum limits for states which generalize the Glauber-Sudarshan coherent states, like non-linear, 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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