Optimally Displaced Threshold Detection for Discriminating Binary
Coherent States Using Imperfect Devices
- URL: http://arxiv.org/abs/2007.11109v1
- Date: Tue, 21 Jul 2020 21:52:29 GMT
- Title: Optimally Displaced Threshold Detection for Discriminating Binary
Coherent States Using Imperfect Devices
- Authors: Renzhi Yuan, Mufei Zhao, Shuai Han, and Julian Cheng
- Abstract summary: We analytically study the performance of the generalized Kennedy receiver having optimally displaced threshold detection (ODTD) in a realistic situation with noises and imperfect devices.
We show that the proposed greedy search algorithm can obtain a lower and smoother error probability than the existing works.
- Score: 50.09039506170243
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Because of the potential applications in quantum information processing
tasks, discrimination of binary coherent states using generalized Kennedy
receiver with maximum a posteriori probability (MAP) detection has attracted
increasing attentions in recent years. In this paper, we analytically study the
performance of the generalized Kennedy receiver having optimally displaced
threshold detection (ODTD) in a realistic situation with noises and imperfect
devices. We first prove that the MAP detection for a generalized Kennedy
receiver is equivalent to a threshold detection in this realistic situation.
Then we analyze the properties of the optimum threshold and the optimum
displacement for ODTD, and propose a heuristic greedy search algorithm to
obtain them. We prove that the ODTD degenerates to the Kennedy receiver with
threshold detection when the signal power is large, and we also clarify the
connection between the generalized Kennedy receiver with threshold detection
and the one-port homodyne detection. Numerical results show that the proposed
heuristic greedy search algorithm can obtain a lower and smoother error
probability than the existing works.
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