All maps equivalent to a given map, completely positive or not
arXiv:1004.0951 · doi:10.1103/PhysRevA.82.022325
Abstract
A dynamical map is a map which takes one density operator to another. Such a map can be written in an operator-sum representation (OSR) using a spectral decomposition. The method of the construction applies to more general maps which need not be completely positive. The OSR not unique; there is a freedom to choose the set of operators in the OSR differently, yet still obtain the same map. Here we identify all maps which are equivalent to a given map. Whereas the freedom for completely positive maps is unitary, the freedom for maps which are not necessarily completely positive is pseudo-unitary.
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Cited by in corpus (5)
- Geometry of the generalized Bloch sphere for qutrits
- Affine Maps of the Polarization Vector for Quantum Systems of Arbitrary Dimension
- Effects of Noise, Correlations and errors in the preparation of initial states in Quantum Simulations
- Sufficient Conditions and Constraints for Reversing General Quantum Errors
- General symmetry in the reduced dynamics of two-level system