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K.-E. Hellwig, K.Kraus, Pure Operations and Measurements, Commun. Math. Phys. 11, 214-220 (1969)

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Quantum Information Theory - Barnum, III (1998)   (Correct)

.... and noisy quantum channels on the state of a system may be described by completely positive linear maps N , from the space B(H i ) of bounded operators on a finite dimensional input Hilbert space H i , to the space B(H o ) of bounded operators on a finite dimensional output Hilbert space H o [9], 10] 3] 11] I will sometimes use the term quantum operation for a trace nonincreasing completely positive map. Such maps have representations in terms of linear operators A i [10] 3] A(ae) X i A i aeA y i ; 2.22) with X i A y i A i I ; 2.23) equality holds in the latter when ....

K. Hellwig and K. Kraus, "Pure operations and measurements," Commun. Math. Phys., vol. 11, pp. 214--220, 1969. 207


The Data Compression Theorem for Ergodic Quantum Information .. - Bjelakovic, Szkola (2003)   (Correct)

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K.-E. Hellwig, K.Kraus, Pure Operations and Measurements, Commun. Math. Phys. 11, 214-220 (1969)

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