Coupled oscillators are among the simplest composite quantum systems in which the interplay of entanglement and interaction may be explored. We examine the effects of coupling on the quantum fluctuations of the coordinates and momenta of the oscillators in a single-excitation entangled Bell-like state. We discover that coupling acts as a mechanism for noise transfer between one pair of coordinate and momentum and another. Through this noise transfer mechanism, the uncertainty product is lowered, on average, relatively to its non-coupled level for one pair of coordinate and momentum and it is enhanced for the other pair. This novel mechanism for noise transfer may be explored in precision measurements in entanglement-assisted sensing and metrology.

耦合振荡器是最简单的复合量子系统之一，在其中可以探讨纠缠和相互作用的相互作用。我们研究了在单激发纠缠的贝尔形状态下，耦合对振荡器的坐标和动量的量子涨落的影响。我们发现耦合充当了一对坐标和动量之间以及另一对坐标和动量之间的噪声传递机制。通过这种噪声传递机制，相对于一对坐标和动量的非耦合水平，不确定性乘积平均降低，而对于另一对坐标和动量，不确定性乘积得到增强。可以在纠缠辅助传感和计量学的精确测量中探索这种新颖的噪声传输机制。