On the Description of Bistochastic Kadison–Schwarz Operators on 𝕄2(ℂ)

DOI10.1142/S1230161210000151zbMath1207.81009arXiv1005.5532MaRDI QIDQ3063622

Abduaziz Abduganiev, Farrukh Mukhamedov

Publication date: 15 December 2010

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

Full work available at URL: https://arxiv.org/abs/1005.5532

zbMATH Keywords

matrix algebracompletely positivepositiveKadison-Schwarz inequalityunital trace preserving

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Quantum measurement theory, state operations, state preparations (81P15) Linear transformations, semilinear transformations (15A04) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items

On Kadison-Schwarz type quantum quadratic operators on \(\mathbb M_2(\mathbb C)\) ⋮ Characterization of bistochastic Kadison-Schwarz operators on \(M_2(\mathbb C)\) ⋮ On Pure Quasi-Quantum Quadratic Operators of 𝕄₂(ℂ)

Cites Work

• On positive decomposable maps
• Completely positive linear maps on complex matrices
• A Korovkin theorem for Schwarz maps on \(C^*\)-algebras
• Positive maps of low dimensional matrix algebras
• An analysis of completely-positive trace-preserving maps on \({\mathcal M}_{2}\)
• On \(k\)-decomposability of positive maps
• Positive linear maps of operator algebras
• On a characterization of positive maps
• Schwarz inequalities and the decomposition of positive maps on C*-algebras
• A Class of Linear Positive Maps in Matrix Algebras
• Minimal entropy of states emerging from noisy quantum channels
• On non-completely positive quantum dynamical maps on spin chains