Minimax Strategy in the Quantum Detection Theory and Its Application to Optical Communications

Osamu HIROTA  Shikao IKEHARA  

IEICE TRANSACTIONS (1976-1990)   Vol.E65   No.11   pp.627-633
Publication Date: 1982/11/25
Online ISSN: 
Print ISSN: 0000-0000
Type of Manuscript: PAPER
Category: Communication Theory

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The problem of specifying the optimum receiver in quantum detection theory is considered for application to optical communications. The quantum minimax rule is formulated and a necessary and sufficient condition for it is given. This rule provides a powerful calculation method in obtaining the quantum optimum solution. Several examples are worked out to prove superiority of the minimax strategy in practical problems. For the case of ternary coherent signals, in particular, is obtained an explicit equation of error probability. Furthermore the minimax rule gives a good penetrating calculation method to obtain suboptimum receivers in case accompanied by an additive external noise.