On quantum detection and the square-root measurement
IEEE Transactions on Information Theory
Designing optimal quantum detectors via semidefinite programming
IEEE Transactions on Information Theory
Optimal detection of symmetric mixed quantum states
IEEE Transactions on Information Theory
Theory of quantum pulse position modulation and related numerical problems
IEEE Transactions on Communications
Can information retrieval systems be improved using quantum probability?
ICTIR'11 Proceedings of the Third international conference on Advances in information retrieval theory
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In the literature the performance of quantum data transmission systems is usually evaluated in the absence of thermal noise. A more realistic approach taking into account the thermal noise is intrinsically more difficult because it requires dealing with Glauber coherent states in an infinite-dimensional space. In particular, the exact evaluation of the optimal measurement operators is a very difficult task, and numerical approximation is unavoidable. The paper faces the problem by approximating the P-representation of the noisy quantum states with a large but finite numbers of terms and applying to them the square root measurement (SRM) approach. Comparisons with cases where the exact solution are known show that the SRM approach gives quite accurate results. As application, the performance of quadrature amplitude modulation (QAM) and phase shift keying (PSK) systems is considered. In spite of the fact that the SRM approach is not optimal and overestimates the error probability, also in these cases the quantum detection maintains its superiority with respect to the classical homodyne detection.