Geometry of quantum state manifolds generated by the Lie algebra operators
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Publication:1704615
DOI10.1016/j.geomphys.2018.01.007zbMath1385.81012arXiv1706.00250OpenAlexW2621355579WikidataQ112881140 ScholiaQ112881140MaRDI QIDQ1704615
Publication date: 12 March 2018
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.00250
Applications of Lie (super)algebras to physics, etc. (17B81) Applications of global differential geometry to the sciences (53C80) Quantum state spaces, operational and probabilistic concepts (81P16)
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Cites Work
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- The quantum brachistochrone problem for an arbitrary spin in a magnetic field
- Riemannian structure on manifolds of quantum states
- The Bloch vector for \(N\)-level systems
- Quantum state geometry and entanglement of two spins with anisotropic interaction in evolution
- Geometry of a two-spin quantum state in evolution
- Quantum Computation as Geometry
- Geometry of the generalized Bloch sphere for qutrits
- The Bloch-Vector Space for N-Level Systems: the Spherical-Coordinate Point of View
- Time minimal trajectories for a spin 1∕2 particle in a magnetic field
- Bloch vectors for qudits
- Coherent states and rational surfaces
- Geometry of quantum evolution
- The quantum brachistochrone problem for two spins-$\frac{1}{2}$ with anisotropic Heisenberg interaction
- Geometry of Quantum States
- The classification of three-parameter density matrices for a qutrit
- Geometric quantum mechanics
- Geometry of Bloch vectors in two-qubit system
