论文标题
广义概率理论中的渠道编程
Programming of channels in generalized probabilistic theories
论文作者
论文摘要
对于给定的目标系统和量子理论描述的设备，所谓的量子无编程定理表明，在整个系统程序上，只有在初始程序正交相互正交时，对设备中称为程序的一家族称为程序中具有固定的统一操作。当前的研究旨在揭示是否可以在广义概率理论（GPT）中观察到类似行为。将编程方案推广到GPT，我们得出了与量子无编程定理相似的定理。我们此外表明，可逆动力学的编程与状态空间上的准经典结构的好奇结构紧密相关。还研究了不可逆转动力学的编程，即GPT中的渠道。
For a given target system and apparatus described by quantum theory, the so-called quantum no-programming theorem indicates that a family of states called programs in the apparatus with a fixed unitary operation on the total system programs distinct unitary dynamics to the target system only if the initial programs are orthogonal to each other. The current study aims at revealing whether a similar behavior can be observed in generalized probabilistic theories (GPTs). Generalizing the programming scheme to GPTs, we derive a similar theorem to the quantum no-programming theorem. We furthermore demonstrate that programming of reversible dynamics is related closely to a curious structure named a quasi-classical structure on the state space. Programming of irreversible dynamics, i.e., channels in GPTs is also investigated.
