论文标题
通过使用choi-jamiołkowski同构的量子操作连贯性
On coherence of quantum operations by using Choi-Jamiołkowski isomorphism
论文作者
论文摘要
在量子信息中，大多数信息处理过程涉及量子通道。量子通道的一种表现是作用于量子状态的量子操作。量子操作的一致性可以视为量子资源，可以利用该量子来执行某些量子任务。从Choi-Jamiołkowski同构的角度来看，我们研究了资源理论框架中量子操作的连贯性。我们定义了淘汰的超级货币，并给出了操作，该操作将量子操作的choi-jamiołkowski状态转换为coii-jamiołkowski的choi-jamiołkowski状态，该状态是通过使用阶段淘汰的超级手续来对量子操作作用的另一个量子操作。定义了一组最大不一致的超级效能，一组未激活的相干超级效能以及一组除相不连贯的超级效能，我们证明这些集合将其封闭于复合操作和量子超级载体的复合操作和凸组合。此外，我们介绍了量子操作的保真度相干度量，并获得了单一量子器上单一操作的忠诚相干度量的确切形式。
In quantum information, most information processing processes involve quantum channels. One manifestation of a quantum channel is quantum operation acting on quantum states. The coherence of quantum operations can be considered as a quantum resource, which can be exploited to perform certain quantum tasks. From the viewpoint of Choi-Jamiołkowski isomorphism, we study the coherence of quantum operations in the framework of resource theory. We define the phase-out superoperation and give the operation which transforms the Choi-Jamiołkowski state of a quantum operation to the Choi-Jamiołkowski state of the another quantum operation obtained by using the phase-out superoperation to act on the quantum operation. The set of maximally incoherent superoperations, the set of nonactivating coherent superoperations and the set of de-phase incoherent superoperations are defined and we prove that these sets are closed to compound operation and convex combination of quantum superoperations. Further, we introduce the fidelity coherence measure of quantum operations and obtain the exact form of the fidelity coherence measure of the unitary operations on the single qubit.
