منابع مشابه
Unital Positive Maps and Quantum States
We analyze the structure of the subset of states generated by unital completely positive quantum maps, A witness that certifies that a state does not belong to the subset generated by a given map is constructed. We analyse the representations of positive maps and their relation to quantum Perron-Frobenius theory. PACS: 03.65.Bz, 03.67.-a, 03.65.Yz
متن کاملGeometry of quantum states: new construction of positive maps
We provide a new class of positive maps in matrix algebras. The construction is based on the family of balls living in the space of density matrices of n-level quantum system. This class generalizes the celebrated Choi map and provide a wide family of entanglement witnesses which define a basic tool for analyzing quantum entanglement.
متن کاملRelations Between Quantum Maps and Quantum States
The relation between completely positive maps and compound states is investigated in terms of the notion of quantum conditional probability.
متن کاملOn Quantum Correlations and Positive Maps
We present a discussion on local quantum correlations and their relations with entanglement. We prove that vanishing coefficient of quantum correlations implies separability. The new results on locally decomposable maps which we obtain in the course of proof also seem to be of independent interest. Mathematical Subject Classification: Primary: 46L53, 46L60: Secondary: 46L45, 46L30
متن کاملOn Duality between Quantum Maps and Quantum States
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 JamioÃlkowski isomorphism ...
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ژورنال
عنوان ژورنال: Open Systems & Information Dynamics
سال: 2008
ISSN: 1230-1612,1793-7191
DOI: 10.1142/s1230161208000110