Radon–Nikodym derivatives of quantum operations

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Radon–Nikodym derivatives of quantum operations

Given a completely positive ~CP! map T, there is a theorem of the Radon– Nikodym type @W. B. Arveson, Acta Math. 123, 141 ~1969!; V. P. Belavkin and P. Staszewski, Rep. Math. Phys. 24, 49 ~1986!# that completely characterizes all CP maps S such that T2S is also a CP map. This theorem is reviewed, and several alternative formulations are given along the way. We then use the Radon–Nikodym formali...

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ژورنال

عنوان ژورنال: Journal of Mathematical Physics

سال: 2003

ISSN: 0022-2488,1089-7658

DOI: 10.1063/1.1615697