Exposed Positive Maps in M4(ℂ)

DOI10.1142/S1230161212500175zbMath1256.81013arXiv1204.3109MaRDI QIDQ3167778

Gniewomir Sarbicki, Dariusz Chruściński

Publication date: 29 October 2012

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.3109

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Positive linear operators and order-bounded operators (47B65) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (11)

Merging of positive maps: a construction of various classes of positive maps on matrix algebras ⋮ Construction of exposed indecomposable positive linear maps between matrix algebras ⋮ A flow of quantum genetic Lotka-Volterra algebras on \(\mathbb{M}_2(\mathbb{C})\) ⋮ Indecomposable exposed positive bi-linear maps between two by two matrices ⋮ Generalizing Choi-like maps ⋮ On circle preserving quadratic operators ⋮ On Pure Quasi-Quantum Quadratic Operators of 𝕄2(ℂ) II ⋮ The structural physical approximation conjecture ⋮ Characterization of bistochastic Kadison-Schwarz operators on \(M_2(\mathbb C)\) ⋮ Optimal Entanglement Witnesses for Two Qutrits ⋮ Exposedness of Choi-Type Entanglement Witnesses and Applications to Lengths of Separable States

Cites Work

• Unnamed Item
• Extremal positive semidefinite forms
• On the structure of positive maps: Finite-dimensional case
• Entanglement Witnesses Arising from Exposed Positive Linear Maps
• A new criterion for indecomposability of positive maps
• A class of positive atomic maps
• Exposed positive maps: a sufficient condition

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