连续变量量子信息的时空复制
Spacetime replication of continuous variable quantum information
摘要：
相对论要求信息的传播速度不能超过光速，而量子力学的幺正性则保证了量子信息不能被克隆。这些条件提供了信息复制任务中出现的基本约束，这些约束将相对论性量子力学中信息行为的各个方面形式化。在这篇文章中，我们提供了连续变量（CV）的时空量子信息复制，直接服从光学或机械实现的战略。我们使用一类新的同源构造的CV量子纠错码提供有效的解决方案的一般情况下的信息复制。与编码量子比特的方案相比，我们的CV解决方案需要每个编码系统一半的份额。我们还提供了一个优化的五模式策略复制量子信息在一个特定的配置的四个时空区域的设计，而不是减少到以前进行的实验。对于这种优化策略，我们给出了详细的编码和解码过程中使用标准的光学设备，并计算了恢复保真度时，使用有限压缩。因此，我们提供了一个方案，实验上实现量子信息复制使用量子光学。
英文摘要：
The theory of relativity requires that no information travel faster than light, whereas the unitarity of quantum mechanics ensures that quantum information cannot be cloned. These conditions provide the basic constraints that appear in information replication tasks, which formalize aspects of the behavior of information in relativistic quantum mechanics. In this article, we provide continuous variable (CV) strategies for spacetime quantum information replication that are directly amenable to optical or mechanical implementation. We use a new class of homologically-constructed CV quantum error correcting codes to provide efficient solutions for the general case of information replication. As compared to schemes encoding qubits, our CV solution requires half as many shares per encoded system. We also provide an optimized five-mode strategy for replicating quantum information in a particular configuration of four spacetime regions designed not to be reducible to previously performed experiments. For this optimized strategy, we provide detailed encoding and decoding procedures using standard optical apparatus and calculate the recovery fidelity when finite squeezing is used. As such we provide a scheme for experimentally realizing quantum information replication using quantum optics.
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。
