多维量子态在发送随机信息方面不优于二元经典态
Qudits offer no advantages over dits for sending random messages
AI总结：
本文证明了在无预共享纠缠的情况下，使用qudit发送随机信息不优于经典dit，并给出了区分混合量子态的成功概率上界。
摘要：
我们考虑以下简单场景：Alice有多个可能的消息之一，这些消息来自已知的分布，她希望最大化Bob正确猜测其消息的概率。我们证明，如果Alice只能向Bob发送一个qudit，而没有预先共享的纠缠态，那么在发送qudit时永远不会有优势，相比发送经典dit。这一结果此前仅在均匀分布的情况下已知。我们还证明了这一结果的混合态推广形式，即对单次测量区分混合量子态的成功概率的上界。该上界仅基于维度、概率分布和态的本征值，并在这些上界中是紧致的。
英文摘要：
We consider the following simple scenario: Alice has one of many possible messages, drawn from a known distribution, and wants to maximize the probability that Bob guesses her message correctly. We prove that if Alice can send only a qudit to Bob, without preshared entanglement, there is never any advantage over sending him a classical dit. This result was previously known only for a uniform distribution. We also prove a mixed-state generalization of this result in the form of an upper bound on the success probability of discriminating between mixed quantum states with a single measurement. This bound is based solely on the dimension, probability distribution, and eigenvalues of the states and is sharp among such bounds.
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。
