Atomic positive linear maps in matrix algebras
Publications of the Research Institute for Mathematical Sciences
Quantum computation and quantum information
Quantum computation and quantum information
Detecting quantum entanglement
Theoretical Computer Science - Natural computing
A Class of Linear Positive Maps in Matrix Algebras
Open Systems & Information Dynamics
Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments
Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments
A matrix realignment method for recognizing entanglement
Quantum Information & Computation
Minimal entropy of states emerging from noisy quantum channels
IEEE Transactions on Information Theory
Characterization of Combinatorially Independent Permutation Separability Criteria
Open Systems & Information Dynamics
Universality of sudden death of entanglement
Quantum Information & Computation
| Hi-index | 0.00 |
We investigate the space of quantum operations, as well as the larger space of maps which are positive, but not completely positive. A constructive criterion for decomposability is presented. A certain class of unistochastic operations, determined by unitary matrices of extended dimensionality, is defined and analyzed. Using the concept of the dynamical matrix and the Jamiołkowski isomorphism we explore the relation between the set of quantum operations (dynamics) and the set of density matrices acting on an extended Hilbert space (kinematics). An analogous relation is established between the classical maps and an extended space of the discrete probability distributions.