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2= ∞. The Stinespring theorem (Ref. 13) implies that we have an operator-sum representation of such a map. Then Choi's results on extremality apply, bounding the number of operation elements, from which the final result can be proved.
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14
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0005234125
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c ≤ k by observing that any local measurement that is not projecting in the Schmidt basis is a noisy version of the measurement that does project in the Schmidt basis. In other words, the probability distribution of any set of local measurements can be obtained from the probability distribution of the Schmidt basis measurement by local processing, which does not increase the classical mutual information.
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21
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0005233645
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note
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1 and the Bures distance are equivalent distances, one continuity relation follows from the other and vice versa.
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26
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0005209537
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note
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Note that this does not directly follow from the result in Ref. 10, since the entanglement of purification may be nonadditive.
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unpublished manuscript, private communication
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A. Winter and R. Wilmink, unpublished manuscript, private communication.
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