论文标题
纠缠辅助的一声古典交流的上下文性
Contextuality in entanglement-assisted one-shot classical communication
论文作者
论文摘要
我们考虑纠缠辅助一声古典交流的问题。在零错误的制度中，按照Cubitt等人的策略，纠缠可以增加经典渠道家族的单次零误差能力。莱特牧师。 104，230503（2010）。该策略使用Kochen-Specker定理，仅适用于投影测量。因此，在嘈杂的国家和/或测量的政权中，该策略不能增加能力。为了适应普遍的嘈杂情况，我们研究了发送固定数量的经典消息的单发成功概率。我们表明，制备上下文性在此任务中为量子优势提供了权力，从而增加了超出其经典最大的成功概率。我们的治疗范围超出了Cubitt等人。例如，包括Prevedel等人的实验实现的方案。莱特牧师。 106，110505（2011）。然后，我们在此通信任务和相应的非本地游戏之间显示映射。该映射概括了与以前在零错误案例中注意到的伪telepathy游戏的连接。最后，在激发了一个限制之后，我们将术语与上下文无关的猜测表示，我们表明，在R. Kunjwal（Quantum 4，219（2020））中获得的噪声非上下文性不平等见证的上下文性足以增强单发成功的概率。这为这些不平等和相关的超图不变性，加权最大预测性提供了一种操作含义，该性能是R. Kunjwal，Quantum 3，184（2019）中引入的。我们的结果表明，纠缠辅助一声古典交流的任务为研究Kochen-Specker定理，Spekkens上下文和贝尔非局部性的相互作用提供了肥沃的基础。
We consider the problem of entanglement-assisted one-shot classical communication. In the zero-error regime, entanglement can increase the one-shot zero-error capacity of a family of classical channels following the strategy of Cubitt et al., Phys. Rev. Lett. 104, 230503 (2010). This strategy uses the Kochen-Specker theorem which is applicable only to projective measurements. As such, in the regime of noisy states and/or measurements, this strategy cannot increase the capacity. To accommodate generically noisy situations, we examine the one-shot success probability of sending a fixed number of classical messages. We show that preparation contextuality powers the quantum advantage in this task, increasing the one-shot success probability beyond its classical maximum. Our treatment extends beyond Cubitt et al. and includes, for example, the experimentally implemented protocol of Prevedel et al., Phys. Rev. Lett. 106, 110505 (2011). We then show a mapping between this communication task and a corresponding nonlocal game. This mapping generalizes the connection with pseudotelepathy games previously noted in the zero-error case. Finally, after motivating a constraint we term context-independent guessing, we show that contextuality witnessed by noise-robust noncontextuality inequalities obtained in R. Kunjwal, Quantum 4, 219 (2020), is sufficient for enhancing the one-shot success probability. This provides an operational meaning to these inequalities and the associated hypergraph invariant, the weighted max-predictability, introduced in R. Kunjwal, Quantum 3, 184 (2019). Our results show that the task of entanglement-assisted one-shot classical communication provides a fertile ground to study the interplay of the Kochen-Specker theorem, Spekkens contextuality, and Bell nonlocality.
