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It is well known that the Helstrom bound can be improved by generalizing theform of a coherent state. Thus, designing a quantum measurement achieving theimproved Helstrom bound is important for novel quantum communication. In thepresent article, we analytically show that the improved Helstrom bound can beachieved by a projective measurement composed of orthogonal non-standardSchr\"{o}dinger cat states. Moreover, we numerically show that the improvedHelstrom bound can be nearly achieved by an indirect measurement based on theJaynes-Cummings model. As the Jaynes-Cummings model describes an interactionbetween a light and a two-level atom, we emphasize that the indirectmeasurement considered in this article has potential to be experimentallyimplemented.

Indirect Measurement for Optimal Quantum Communication Enhanced by Binary Non-standard Coherent States