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Topological Quantum Computing
Open Quantum Systems Decoherence
Quantum Entropy Information Measures
Quantum Simulation
Bloch vector, disclination and exotic quantum holonomy
arXiv
Authors: Atushi Tanaka, Taksu Cheon
Year
2014
Paper ID
47458
Status
Preprint
Abstract Read
~2 min
Abstract Words
72
Citations
N/A
Abstract
A topological formulation of the eigenspace anholonomy, where eigenspaces are interchanged by adiabatic cycles, is introduced. The anholonomy in two-level systems is identified with a disclination of the director (headless vector) of a Bloch vector, which characterizes eigenprojectors. The covering map structure behind the exotic quantum holonomy and the role of the homotopy classification of adiabatic cycles are elucidated. The extensions of this formulation to nonadiabatic cycles and N-level systems are outlined.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- A topological formulation of the eigenspace anholonomy, where eigenspaces are interchanged by adiabatic cycles, is introduced.
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