标题： 量子过程的可恢复性的基本限制 显示英文标题

标题： Fundamental limitations on the recoverability of quantum processes

摘要： 量子信息处理和计算任务可以被理解为量子网络，包括量子态和通道以及它们可能的物理变换。 因此，估计量子过程在经历物理变换时信息内容的变化是相关的。 量子态的物理变换由量子通道描述，而量子通道的变换由量子超通道描述。 在本工作中，我们确定了如何逆转或倒置量子通道上的物理变换的基本限制，这些限制对于设计和评估量子信息和计算设备至关重要。 特别是，我们通过加强量子相对熵在任意量子超通道作用下的单调性不等式，改进了量子通道的量子数据处理不等式。 我们识别了一类量子超通道，它似乎类似于量子次单位通道的量子超通道，作用于该类量子超通道时，任意量子通道的熵是非递减的。 显示英文摘要

摘要： Quantum information processing and computing tasks can be understood as quantum networks, comprising quantum states and channels and possible physical transformations on them. It is hence pertinent to estimate the change in informational content of quantum processes due to physical transformations they undergo. The physical transformations of quantum states are described by quantum channels, while the transformations of quantum channels are described by quantum superchannels. In this work, we determine fundamental limitations on how well can the physical transformation on quantum channels be undone or reversed, which are of crucial interest to design and benchmark quantum information and computation devices. In particular, we refine the quantum data processing inequality for quantum channels by strengthening the monotonicity inequality of quantum relative entropy of quantum channels under the action of an arbitrary quantum superchannel. We identify a class of quantum superchannels, which appears to be quantum superchannel analogue of quantum subunital channels, under the action of which the entropy of an arbitrary quantum channel is nondecreasing.