Two-sequential Conclusive Discrimination between Binary Coherent States via Indirect Measurements

TL;DR

This paper proposes a new experimental scheme for sequentially discriminating between binary coherent states using indirect measurements within the Jaynes-Cummings model, achieving success probabilities close to the Helstrom bound for low photon numbers.

Contribution

It introduces a novel implementation method for sequential conclusive discrimination of binary coherent states with improved success probabilities in noisy quantum communication.

Findings

Success probability exceeds previous schemes for mean photon number < 1.6.

Near-Helstrom bound success probability at photon number ~1.2.

Applicable in noisy multipartite quantum communication scenarios.

Abstract

A general scenario for an $N$-sequential conclusive state discrimination introduced recently in Loubenets and Namkung [arXiv:2102.04747] can provide a multipartite quantum communication realizable in the presence of a noise. In the present article, we propose a new experimental scheme for the implementation of a sequential conclusive discrimination between binary coherent states via indirect measurements within the Jaynes-Cummings interaction model. We find that if the mean photon number is less than 1.6, then, for our two-sequential state discrimination scheme, the optimal success probability is larger than the one presented in Fields, Varga, and Bergou [2020, IEEE Int. Conf. Quant. Eng. Comp.]. We also show that, if the mean photon number is almost equal to 1.2, then the optimal success probability nearly approaches the Helstrom bound.