An overwhelming majority of quantum (pure and mixed) states, when undertaking a POVM measurement, will result in a classical probability with no algorithmic information. Thus most quantum states produce white noise when measured. Furthermore most non-pointer states, when undergoing the decoherence process, will produce white noise. These results can be seen as consequences of the vastness of Hilbert spaces.

翻译：绝大多数量子（纯态和混合态）在进行POVM测量时，会产生没有算法信息的经典概率。因此，大多数量子态在测量时会生成白噪声。此外，大多数非指针态在经历退相干过程时也会产生白噪声。这些结果可被视为希尔伯特空间庞大性的必然推论。