Gaussian hypothesis testing and quantum illumination

摘要: Quantum hypothesis testing is one of the most basic tasks in quantum information theory and has fundamental links with communication estimation theory. In this paper, we establish a formula that characterizes decay rate minimal type-II error probability test two Gaussian states given fixed constraint on type-I probability. This direct function mean vectors covariance matrices question. We give an application to illumination, which task determining whether there low-reflectivity object embedded target region bright thermal-noise bath. For asymmetric-error setting, find illumination transmitter can achieve exponent stronger than coherent-state same photon number, furthermore, it requires far fewer trials do so. occurs when background thermal noise either low or bright, means advantage even easier witness symmetric-error setting because for larger range parameters. Going forward from here, expect our have applications settings well beyond those considered especially involving channels.