标题： 量子态的认识论观点与量子信道的通信复杂性 显示英文标题

标题： Epistemic view of quantum states and communication complexity of quantum channels

摘要： 量子信道的通信复杂度是经典地模拟状态制备、通过信道传输和随后测量的过程所需最小的经典通信量。 它在经典资源方面建立了量子通信能力的极限。 我们表明，采用有限量通信的经典模拟可以从一类特殊的隐变量理论中推导出来，其中量子态代表关于经典态的统计知识，而不是现实的一个元素。 这一特殊类别最近引起了强烈兴趣。 每个派生模拟的通信成本由量子态与父隐变量理论的经典态之间的互信息给出。 最后，我们发现单个量子比特的通信复杂度小于1.28比特。 之前已知的上限是1.85比特。 显示英文摘要

摘要： The communication complexity of a quantum channel is the minimal amount of classical communication required for classically simulating a process of state preparation, transmission through the channel and subsequent measurement. It establishes a limit on the power of quantum communication in terms of classical resources. We show that classical simulations employing a finite amount of communication can be derived from a special class of hidden variable theories where quantum states represent statistical knowledge about the classical state and not an element of reality. This special class has attracted strong interest very recently. The communication cost of each derived simulation is given by the mutual information between the quantum state and the classical state of the parent hidden variable theory. Finally, we find that the communication complexity for single qubits is smaller than 1.28 bits. The previous known upper bound was 1.85 bits.