Networking is integral to quantum communications¹ and has significant potential for upscaling quantum computer technologies². Recently, it was realized that the sensing performances of multiple spatially distributed parameters may also be enhanced through the use of an entangled quantum network^{3,4,5,6,7,8,9,10}. Here, we experimentally demonstrate how sensing of an averaged phase shift among four distributed nodes benefits from an entangled quantum network. Using a four-mode entangled continuous-variable state, we demonstrate deterministic quantum phase sensing with a precision beyond what is attainable with separable probes. The techniques behind this result can have direct applications in a number of areas ranging from molecular tracking to quantum networks of atomic clocks.

网络是量子通信¹不可或缺的组成部分，对于提升量子计算机技术²有着巨大的潜力。最近，人们意识到，通过使用纠缠的量子网络^{3,4,5,6,7,8,9,10，}还可以提高多个空间分布参数的感测性能。。在这里，我们通过实验演示了如何感测四个分布式节点之间的平均相移如何从纠缠的量子网络中受益。使用四模式纠缠连续变量状态，我们演示了确定性量子相位传感，其精确度超过了可分离探针所能达到的精度。这一结果背后的技术可以直接应用于许多领域，从分子跟踪到原子钟的量子网络。