Quantum wiretap channel with non-uniform random number and its exponent and equivocation rate of leaked information

TL;DR

This paper introduces a quantum wiretap coding scheme that relaxes the uniformity requirement of the auxiliary random variable, analyzes its security performance, and discusses practical implementation with linear codes.

Contribution

It proposes a quantum wiretap code using a non-uniform auxiliary variable, providing security analysis and practical construction insights.

Findings

Exponential decreasing rate of leaked information derived.

Equivocation rate of leaked information evaluated.

Security analysis for linear error correcting code implementation.

Abstract

A usual code for quantum wiretap channel requires an auxiliary random variable subject to the perfect uniform distribution. However, it is difficult to prepare such an auxiliary random variable. We propose a code that requires only an auxiliary random variable subject to a non-uniform distribution instead of the perfect uniform distribution. Further, we evaluate the exponential decreasing rate of leaked information and derive its equivocation rate. For practical constructions, we also discuss the security when our code consists of a linear error correcting code.