Curves in quantum state space, geometric phases, and the brachistophase

DOI10.1088/1751-8121/acdcd2zbMath1526.81032arXiv2302.07647MaRDI QIDQ6161392

Eduardo Serrano-Ensástiga, Chryssomalis Chryssomalakos, Unnamed Author, Unnamed Author, E. Guzmán-González

Publication date: 27 June 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.07647

zbMATH Keywords

geometric phasesquantum kinematicsquantum spin states

Mathematics Subject Classification ID

Plane and space curves (14H50) Spinor and twistor methods applied to problems in quantum theory (81R25) Geodesics in global differential geometry (53C22) Differential geometric aspects in kinematics (53A17) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Cites Work

• Quantum kinematic approach to the geometric phase. I: General formalism
• Holonomic quantum computation
• Geometric phases in classical and quantum mechanics
• Berry phase effects on electronic properties
• Quantal phase factors accompanying adiabatic changes
• Geometry of spin coherent states
• Non-adiabatic holonomic quantum computation
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