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arXiv 1509.09109quant-ph
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量子操作的凝聚力

Cohering power of quantum operations

Kaifeng Bu, Asutosh Kumar, Lin Zhang, Junde Wu

摘要:

量子相干性是量子物理的基本特征。结合态空间的张量积结构,提出了纠缠、量子关联等新概念,这些新概念在量子信息处理中起着至关重要的作用。然而,量子关联,特别是纠缠,在退相干下是脆弱的。在这种背景下,很少有研究涉及通过量子操作产生量子相干性。在本文中,我们研究了相干功率-量子操作产生相干的能力。首先,我们提供了一个可操作的解释凝聚力。然后,我们将一般量子操作分解为三个基本操作,即幺正操作,附加操作和删除操作,并证明了任何量子操作的相干功率的上界由相应的幺正操作。此外,我们还比较了不同相干性测度下量子操作的相干势和广义相干势。

英文摘要:

Quantum coherence is a basic feature of quantum physics. Combined with tensor product structure of state space, it gives rise to the novel concepts such as entanglement and quantum correlations, which play a crucial role in quantum information processing tasks. However, quantum correlations, especially entanglement, are fragile under decoherence. In this context, very few investigations have touched on the production of quantum coherence by quantum operations. In this paper, we study cohering power -- the ability of quantum operations to produce coherence. First, we provide an operational interpretation of cohering power. Then, we decompose a generic quantum operation into three basic operations, namely, unitary, appending and dismissal operations, and show that the cohering power of any quantum operation is upper bounded by the corresponding unitary operation. Furthermore, we compare cohering power and generalized cohering power of quantum operations for different measures of coherence.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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