Quantum m-out-of-n Oblivious Transfer

TL;DR

This paper introduces a quantum m-out-of-n oblivious transfer scheme using polarized light, ensuring robustness against general attacks and maintaining privacy even in the presence of quantum computational capabilities.

Contribution

It presents a novel quantum OT protocol based on polarized light that is secure against quantum attacks, addressing the insecurity of classical schemes.

Findings

Scheme is statistically correct and private

Robust against general attacks

Secure against quantum computational threats

Abstract

In the m-out-of-n oblivious transfer (OT) model, one party Alice sends n bits to another party Bob, Bob can get only m bits from the n bits. However, Alice cannot know which m bits Bob received. Y.Mu[MJV02]} and Naor[Naor01] presented classical m-out-of-n oblivious transfer based on discrete logarithm. As the work of Shor [Shor94], the discrete logarithm can be solved in polynomial time by quantum computers, so such OTs are unsafe to the quantum computer. In this paper, we construct a quantum m-out-of-n OT (QOT) scheme based on the transmission of polarized light and show that the scheme is robust to general attacks, i.e. the QOT scheme satisfies statistical correctness and statistical privacy.