论文标题
关于量子互联网上的零知识证明
On Zero-Knowledge Proofs over the Quantum Internet
论文作者
论文摘要
本文提出了一种用于量子身份认证（QIA）协议的新方法。由于量子电路和算法，应用了由于schnorr引起的经典零知识证明（ZKP）的逻辑。这种新颖的方法提供了一种确切的方法，供供$ p $可以通过量子通道发送到验证者$ v $之前将其封装在量子状态下，通过将其封装在量子状态下 - 允许ZKP进行ZKP，其中可以通过失败设计来检测到ZKP。这是通过从离散对数问题的硬度转向估计量子状态的硬度来实现的。本文介绍了一种可以实现的方法，并为提供的协议的安全性提供了一些界限。随着“量子互联网”的预期出现，这种协议和想法可能很快在现实世界中具有实用性和执行。
This paper presents a new method for quantum identity authentication (QIA) protocols. The logic of classical zero-knowledge proofs (ZKPs) due to Schnorr is applied in quantum circuits and algorithms. This novel approach gives an exact way with which a prover $P$ can prove they know some secret by encapsulating it in a quantum state before sending to a verifier $V$ by means of a quantum channel - allowing for a ZKP wherein an eavesdropper or manipulation can be detected with a fail-safe design. This is achieved by moving away from the hardness of the Discrete Logarithm Problem towards the hardness of estimating quantum states. This paper presents a method with which this can be achieved and some bounds for the security of the protocol provided. With the anticipated advent of a `quantum internet', such protocols and ideas may soon have utility and execution in the real world.
