Differential geometry of density states

DOI10.1016/S0034-4877(05)80055-2zbMath1138.81336arXivquant-ph/0503041OpenAlexW2015593732WikidataQ115339943 ScholiaQ115339943MaRDI QIDQ2577549

F. Zaccaria, E. C. G. Sudarshan, Giuseppe Marmo, Vladimir I. Man'ko

Publication date: 3 January 2006

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0503041

zbMATH Keywords

geometric structuresquantum statesFubini-Study projective geometry

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)

Related Items (12)

CHARACTERIZING THE DEPOLARIZING QUANTUM CHANNEL IN TERMS OF RIEMANNIAN GEOMETRY ⋮ ENTANGLEMENT FRUSTRATION IN MULTIMODE GAUSSIAN STATES ⋮ THE GEOMETRY OF THE QUANTUM ZENO EFFECT ⋮ A short course on quantum mechanics and methods of quantization ⋮ ALTERNATIVE ALGEBRAIC STRUCTURES FROM BI-HAMILTONIAN QUANTUM SYSTEMS ⋮ Remarks on the GNS Representation and the Geometry of Quantum States ⋮ Differential geometry of bipartite quantum states ⋮ Geometrization of quantum mechanics ⋮ K\"ahler geometry on complex projective spaces via reduction and unfolding ⋮ Generalized potential functions in differential geometry and information geometry ⋮ Remarks on alternative Hermitian structures for composite quantum systems ⋮ BASICS OF QUANTUM MECHANICS, GEOMETRIZATION AND SOME APPLICATIONS TO QUANTUM INFORMATION

Cites Work

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• GEOMETRY OF MIXED STATES AND DEGENERACY STRUCTURE OF GEOMETRIC PHASES FOR MULTI-LEVEL QUANTUM SYSTEMS: A UNITARY GROUP APPROACH
• Quantum mechanics as an infinite-dimensional Hamiltonian system with uncertainty structure: Part II
• THE NONLINEAR SUPERPOSITION PRINCIPLE AND THE WEI-NORMAN METHOD
• From Classical to Quantum Mechanics

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