论文标题
足够的条件和约束，以逆转一般量子错误
Sufficient Conditions and Constraints for Reversing General Quantum Errors
论文作者
论文摘要
逆转量子演化的效果，例如，正如误差校正所做的那样，是控制量子系统以生成可靠的量子设备的重要任务。当演化受到完全正面的映射管辖时，存在可逆性条件，称为量子误差校正代码条件，这对于在子空间（代码空间）上量子操作的可逆性是必要且充分的条件。但是，如果我们假设进化不是完全正面图来描述的，则不知道必要的和充分的条件。在这里，我们认为不一定与完全积极的地图相对应的演变。我们证明，完全积极的地图错误校正代码条件可能会导致不在地图域中的代码空间，这意味着地图的输出不是正面的。我们定理的推论提供了一类相关示例。最后，我们提供了一组足够的条件，可以在确保阳性的同时使用量子错误纠正代码条件。
Reversing the effects of a quantum evolution, for example as is done in error correction, is an important task for controlling quantum systems in order to produce reliable quantum devices. When the evolution is governed by a completely positive map, there exist reversibility conditions, known as the quantum error correcting code conditions, which are necessary and sufficient conditions for the reversibility of a quantum operation on a subspace, the code space. However, if we suppose that the evolution is not described by a completely positive map, necessary and sufficient conditions are not known. Here we consider evolutions that do not necessarily correspond to a completely positive map. We prove that the completely positive map error correcting code conditions can lead to a code space that is not in the domain of the map, meaning that the output of the map is not positive. A corollary to our theorem provides a class of relevant examples. Finally, we provide a set of sufficient conditions that will enable the use of quantum error correcting code conditions while ensuring positivity.
