Subspace preserving completely positive maps
arXiv:quant-ph/0302180 · doi:10.1016/j.aop.2004.04.013
Abstract
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.
References added
References in corpus (6)
- Prescription for experimental determination of the dynamics of a quantum black box
- From Completely Positive Maps to the Quantum Markovian Semigroup Master Equation
- Generalization of geometric phase to completely positive maps
- Interference of Quantum Channels
- Single-particle nonlocality and entanglement with the vacuum
- Operations, Disturbance, and Simultaneous Measurability
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