Equivalence of Additivity Questions in Quantum Information Theory
Equivalence of Additivity Questions in Quantum Information Theory
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DOI：
10.1007/s00220-003-0981-7
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发表时间：
2004-04
影响因子：
2.4
通讯作者：
P. Shor
中科院分区：
文献类型：
--
作者：
P. Shor
我们通过证明其中四个是等价的，减少了量子信息理论中开放的可加性问题的数量。也就是说，我们证明了量子信道的最小输出熵的可加性，量子信道经典容量的Holevo表达式的可加性，形成纠缠的可加性，以及形成纠缠的强超可加性，或者都是真的，或者都是假的.
We reduce the number of open additivity problems in quantum information theory by showing that four of them are equivalent. Namely, we show that the conjectures of additivity of the minimum output entropy of a quantum channel, additivity of the Holevo expression for the classical capacity of a quantum channel, additivity of the entanglement of formation, and strong superadditivity of the entanglement of formation, are either all true or all false.