Abstract

The aim of the paper is the derivation of formulas for the capacities of a classical–quantum communication channel with Gaussian noise, which are analogs of the classical capacities and arise in many problems of quantum information theory, on a simple, heuristic and physically intuitively clear level. The classical capacity of a classical communication channel with limited frequency band and Gaussian information states diverges as noise tends to zero. In a consistent quantum consideration, the divergence is removed, which is a consequence of the fundamental physical principle of indistinguishability of particles—bosons in information states.

中文翻译：

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量子情况下具有连续变量的通信信道的香农公式的简单启发式推导

摘要

本文的目的是推导具有高斯噪声的经典量子通信信道的容量公式，这些公式是经典容量的类似物，并且在简单，启发式和物理上直观清晰的情况下，出现在量子信息理论的许多问题中等级。具有受限频带和高斯信息状态的经典通信信道的经典容量随着噪声趋于零而发散。在一致的量子考虑下，发散被消除了，这是粒子不可分辨的基本物理原理的结果-处于信息状态的玻色子。