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arXiv 2004.10515quant-ph
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测量设备无关环境下的比特提交和不经意传输

On Bit Commitment and Oblivious Transfer in Measurement-Device Independent settings

Jeremy Ribeiro, Stephanie Wehner

摘要:

在量子密码学中研究最多的任务之一可以找到比特承诺(BC)和不经意传输(OT),两个中心密码原语。在本文中,我们首次提出了这些任务的协议在测量设备无关(MDI)的设置,并分析其安全性。我们分析了两种不同的情况:首先,我们假设各方都可以获得完美的单光子源(但仍然存在噪声和损耗),其次,我们假设他们只有不完美的单光子源。在第一种情况下,我们提出了一个协议的BC和OT,并证明其安全性的噪声量子存储模型。有趣的是,在诚实的当事人没有机会获得完美的单光子源的情况下,我们发现BC仍然是可能的,但它是“更难”得到一个安全的协议OT:我们表明,有一类协议,不能是安全的。我们所有的安全分析都是在有限回合制度下进行的。

英文摘要:

Among the most studied tasks in Quantum Cryptography one can find Bit Commitment (BC) and Oblivious Transfer (OT), two central cryptographic primitives. In this paper we propose for the first time protocols for these tasks in the measurement-device independent (MDI) settings and analyze their security. We analyze two different cases: first we assume the parties have access to perfect single photon sources (but still in the presence of noise and losses), and second we assume that they only have imperfect single photon sources. In the first case we propose a protocol for both BC and OT and prove their security in the Noisy Quantum Storage model. Interestingly, in the case where honest parties do not have access to perfect single photon sources, we find that BC is still possible, but that it is "more difficult" to get a secure protocol for OT: We show that there is a whole class of protocols that cannot be secure. All our security analyses are done in the finite round regime.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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