Quantum digital signatures with smaller public keys

B. Škorić
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Abstract

We introduce a variant of quantum signatures in which nonbinary symbols are signed instead of bits. The public keys are fingerprinting states, just as in the scheme of Gottesman and Chuang [1], but we allow for multiple ways to reveal the private key partially. The effect of this modification is a reduction of the number of qubits expended per message bit. Asymptotically the expenditure becomes as low as one qubit per message bit. We give a security proof, and we present numerical results that show how the improvement in public key size depends on the message length.
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使用较小公钥的量子数字签名
我们引入了一种量子签名的变体,其中非二进制符号代替比特进行签名。公钥是指纹状态,就像Gottesman和Chuang[1]的方案一样,但我们允许多种方式部分显示私钥。这种修改的效果是减少每个消息位所消耗的量子位的数量。渐近地,每个消息位的开销降低到一个量子位。我们给出了安全性证明,并给出了数值结果,表明公钥大小的改进是如何依赖于消息长度的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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