非定域关联的一次性密码本加密模型
One-time Pad Encryption Model for Non-local Correlations
AI总结：
本文提出受密码学启发的OTP模型，通过在隐变量层面引入随机性使超光速信号传输与无信号条件兼容，从而建模Bell非定域关联，并揭示其与通信复杂性及同态加密的联系。
摘要：
我们提出了一个受密码学启发的框架，用于建模Bell非定域关联。受著名的德布罗意-玻姆理论启发，我们将非定域盒子概念化为在隐变量层面具有瞬时信号传输的真实系统。通过在隐变量的分布中引入随机性，超光速信号传输模型与操作上的无信号传输条件相兼容。由于我们的设计模仿了著名的称为一次性密码本（OTP）的对称密钥加密系统，我们将其称为非定域盒子的OTP模型。我们通过与非定域盒子非经典性质相关的各种深奥例子说明了该模型的有效性。特别是，使用非定域盒子打破通信复杂性的现象可以在此框架中得到更好的理解。此外，我们深入研究了Van Dam协议，揭示了其与密码学中同态加密的联系。探索在我们的框架内包含量子可实现非定域关联的潜在途径，我们强调信息因果性原理在隐变量层面施加了额外约束。因此，本研究协调了经典密码学中的结果，以增进我们对非定域关联的理解，并欢迎对这一联系进行进一步研究。
英文摘要：
We present a cryptographic-inspired framework for modeling Bell nonlocal correlations. Drawing inspiration from the renowned De Broglie-Bohm theory, we conceptualize nonlocal boxes as realistic systems featuring instantaneous signaling at the hidden variable level. By introducing randomness into the distribution of the hidden variable the superluminal signaling model is made compatible with the operational no-signalling condition. As our design mimics the famous symmetric key encryption system called {\it One-time Pad} (OTP), we call this the OTP model for nonlocal boxes. We illustrate the efficacy of this model through various esoteric examples related to the non-classical nature of nonlocal boxes. In particular, the breakdown of communication complexity using nonlocal boxes can be better understood in this framework. Additionally, we delve into the Van Dam protocol, revealing its connection to homomorphic encryption studied in cryptography. Exploring potential avenues for encapsulating quantum-realizable nonlocal correlations within our framework, we highlight that the Information Causality principle imposes additional constraints at the hidden variable level. Present work thus orchestrates the results in classical cryptography to improve our understanding of nonlocal correlations and welcomes further research to this connection.
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。
