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首页> 外文期刊>IEEE Transactions on Information Theory >The Information-Disturbance Tradeoff and the Continuity of Stinespring''s Representation
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The Information-Disturbance Tradeoff and the Continuity of Stinespring''s Representation

机译：信息干扰权衡与Stinespring表示的连续性

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Stinespring''s dilation theorem is the basic structure theorem for quantum channels: it states that any quantum channel arises from a unitary evolution on a larger system. Here we prove a continuity theorem for Stinespring''s dilation: if two quantum channels are close in cb-norm, then it is always possible to find unitary implementations which are close in operator norm, with dimension-independent bounds. This result generalizes Uhlmann''s theorem from states to channels and allows to derive a formulation of the information-disturbance tradeoff in terms of quantum channels, as well as a continuity estimate for the no-broadcasting theorem. We briefly discuss further implications for quantum cryptography, thermalization processes, and the black hole information loss puzzle.
机译：Stinespring的膨胀定理是量子通道的基本结构定理：它指出，任何量子通道都源于更大系统上的整体演化。在这里，我们证明了Stinespring扩张的连续性定理：如果两个量子通道在cb范数中接近，那么总是有可能找到在算子范数中接近，且与维数无关的边界的unit实现。该结果将Uhlmann定理从状态推广到各个通道，并允许根据量子通道以及无广播定理的连续性估计来推导信息干扰权衡。我们简要讨论了量子密码，热化过程和黑洞信息丢失难题的进一步含义。

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