Quantum hypothesis testing has been greatly advanced for the binary discrimination of two states, or two channels. In this setting, we already know that quantum entanglement can be used to enhance the discrimination of two bosonic channels. Here, we remove the restriction of binary hypotheses and show that entangled photons can remarkably boost the discrimination of multiple bosonic channels. More precisely, we formulate a general problem of channel-position finding where the goal is to determine the position of a target channel among many background channels. We prove that, using entangled photons at the input and a generalized form of conditional nulling receiver at the output, we may outperform any classical strategy. Our results can be applied to enhance a range of technological tasks, including the optical readout of sparse classical data, the spectroscopic analysis of a frequency spectrum, and the determination of the direction of a target at fixed range.

量子假设测试已大大提高了对两个状态或两个通道的二进制判别的能力。在这种情况下，我们已经知道量子纠缠可以用来增强对两个玻色子通道的区分。在这里，我们消除了二元假设的限制，表明纠缠的光子可以显着提高对多个玻色子通道的分辨力。更准确地说，我们提出了一个信道位置查找的一般问题，其目标是确定目标信道在许多背景信道中的位置。我们证明，在输入端使用纠缠光子，在输出端使用条件归零接收器的广义形式，我们可以胜过任何经典策略。我们的结果可用于增强一系列技术任务，包括光学读取稀疏经典数据，