Fidelity and entanglement fidelity for infinite-dimensional quantum systems
Fidelity and entanglement fidelity for infinite-dimensional quantum systems
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DOI：
10.1088/1751-8113/47/33/335304
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发表时间：
2014-08
期刊：
影响因子：
--
通讯作者：
Li Wang;J. Hou;X. Qi
中科院分区：
文献类型：
--
作者：
Li Wang;J. Hou;X. Qi
代替有限维情况的酉自由度，建立了无限维系统的量子通道的算子和表示中的双收缩自由度。具体来说，如果通道将每个纯状态发送到有限等级状态，则等距自由特征成立。然后，得到了计算纠缠保真度的方法以及无限维系统的量子保真度与纠缠保真度之间的关系。此外，还提供了量子保真度的上限和下限，以及它们与迹线距离的关系。
Instead of unitary freedom for finite-dimensional cases, bi-contractive freedom in the operator-sum representation for quantum channels of infinite-dimensional systems is established. Specifically, if the channel sends every pure state to a finite rank state, then the isometric freedom feature holds. Then, a method of computing entanglement fidelity and a relation between quantum fidelity and entanglement fidelity for infinite-dimensional systems are obtained. In addition, upper and lower bounds of the quantum fidelity, and their connection to the trace distance, are also provided.