We propose the first continuous-variable (CV) unclonable encryption scheme, extending the paradigm of quantum encryption of classical messages (QECM) to CV systems. In our construction, a classical message is first encrypted classically and then encoded using an error-correcting code. Each bit of the codeword is mapped to a CV mode by creating a coherent state which is squeezed in the $q$ or $p$ quadrature direction, with a small displacement that encodes the bit. The squeezing directions are part of the encryption key. We prove unclonability in the framework introduced by Broadbent and Lord, via a reduction of the cloning game to a CV monogamy-of-entanglement game.
翻译:我们提出了首个连续变量(CV)不可克隆加密方案,将经典消息的量子加密(QECM)范式扩展至连续变量系统。在我们的构造中,经典消息首先通过经典方式加密,随后使用纠错码进行编码。码字的每个比特通过产生相干态映射到一个连续变量模式:该相干态在$q$或$p$正交分量方向上被压缩,并通过微小位移编码比特信息。压缩方向构成加密密钥的一部分。我们在Broadbent与Lord提出的框架下证明了方案的不可克隆性,其方法是将克隆攻击游戏归约为连续变量纠缠独占性游戏。