Abstract

A fundamental constraint on the generation rate in quantum random number generators with a continuous variable is obtained by minimal mathematical means. This constraint is valid for any signal intensity—any number of photons in a quantum state. For large occupation numbers, the random number generation rate increases logarithmically with the number of photons, but always remains finite. For a small number of photons, the generation rate is proportional to the number of photons. For any number of photons, the limiting random number generation rate is proportional to the frequency band of the signal—a quantum state.

中文翻译：

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具有连续变量的量子发生器中随机序列发生率的基本极限

摘要

通过最小的数学手段，获得了具有连续变量的量子随机数发生器中产生速率的基本约束。此约束对任何信号强度（处于量子状态的任何数量的光子）均有效。对于大的占领数，随机数的生成率与光子数成对数增长，但始终保持有限。对于少量的光子，生成速率与光子数成正比。对于任何数量的光子，有限的随机数生成速率与信号的频带-量子态成正比。