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IEEE International Conference on Communication Technology (ICCT)

Quantum detection of coherent-state signal using least-square estimation

Wenbin Yu, Baoyu Zheng, Shengmei Zhao

Published Nov 1, 2010• 0 citations
Publisher

Abstract

Coherent-states, representing electromagnetic radiation produced by physical devices such as lasers, are an important class of states for optical communications. For the coherent-state signal detection, a detection method basing on the POVM detection and the least-square estimation is proposed in this paper, concerning the quantum detection theory. This method has been proved to be effective in our paper, and the numerical results indicate that with this method we can fairly improve the performance of coherent-state signal detection.

DOI
10.1109/icct.2010.5689001

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Coherent-states, representing electromagnetic radiation produced by physical devices such as lasers, are an important class of states for optical communications. For the coherent-state signal detection, a detection method basing on the POVM detection and the least-square estimation is proposed in this paper, concerning the quantum detection theory. This method has been proved to be effective in our paper, and the numerical results indicate that with this method we can fairly improve the performance of coherent-state signal detection.
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Coherent states of the quantum electromagnetic field, the quantum description of ideal laser light, are a prime candidate as information carriers for optical communications. A large body of literature exists on quantum-limited parameter estimation and discrimination for coherent states. However, very little is known about practical realizations of receivers for unambiguous state discrimination (USD) of coherent states. Here we fill this gap and establish a theory of unambiguous discrimination of coherent states, with receivers that are allowed to employ: passive multimode linear optics, phase-space displacements, un-excited auxiliary input modes, and on-off photon detection. Our results indicate that these currently-available optical components are near optimal for unambiguous discrimination of multiple coherent states in a constellation.
In Part I of this three-part study, it was shown that novel quantum states, called two-photon coherent states (TCS), have significant potential for improving free-space optical communications. Because TCS radiation does not possess a classical analog, i.e., its diagonalP-representation is highly singular, the semiclassical conditional Poisson process model for direct detection is not applicable to TCS reception. In this paper, photoemissive detection of arbitrary quantized radiation fields is studied with incorporation of the nontrivial effects of detector quantum efficiency. General theorems are derived permitting the application of classical point process results to the detection and estimation of signals in arbitrary quantum states. These general theorems are applied to determining the performance of TCS optical communication systems that employ direct, heterodyne, or homodyne detection in binary decision as well as in linear modulation problems. It is shown that the use of TCS radiation with direct detection or heterodyne detection results in minimal performance increments over comparable coherent-state systems. Homodyne detection, however, can achieve the full TCS signal-to-noise ratio improvement predicted in Part I of this study. The increase in homodyne signal-to-noise ratio obtained by use of TCS radiation yields significant performance gains in both linear modulation and antipodal signal detection.