Physics – Quantum Physics
Scientific paper
2003-02-25
Annals of Physics Vol. 313, p. 326 (2004)
Physics
Quantum Physics
References added
Scientific paper
10.1016/j.aop.2004.04.013
A class of quantum channels and completely positive maps (CPMs) are introduced and investigated. These, which we call subspace preserving (SP) CPMs has, in the case of trace preserving CPMs, a simple interpretation as those which preserve probability weights on a given orthogonal sum decomposition of the Hilbert space of a quantum system. Several equivalent characterizations of SP CPMs are proved and an explicit construction of all SP CPMs, is provided. For a subclass of the SP channels a construction in terms of joint unitary evolution with an ancilla system, is presented.
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