Dissipation in a 2-dimensional Hilbert space: Various forms of complete positivity

DOI10.1016/S0375-9601(02)00816-2zbMath0997.82023arXivquant-ph/0201142MaRDI QIDQ1607316

W. Grimus, Reinhold A. Bertlmann

Publication date: 31 July 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0201142

zbMATH Keywords

von Neumann equationdensity matrix time evolutionLindblad terms

Mathematics Subject Classification ID

Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Applications of functional analysis in statistical physics (46N55)

Related Items (1)

Spin geometry of entangled qubits under bilocal decoherence modes

Cites Work

• Entropy behaviour under completely positive maps
• Quantum dynamical semigroups and applications. (Based on Lectures given at the 20th Symposium on Theoretical Chemistry held 1984 in Emmetten, Switzerland)
• Completely positive linear maps on complex matrices
• On the generators of quantum dynamical semigroups
• Properties of quantum Markovian master equations
• Noncommutative analogues of the Cramér-Rao inequality in the quantum measurement theory
• Testing Complete Positivity
• Completely positive dynamical semigroups of N-level systems
• Positive Functions on C ∗ -Algebras

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