Density Matrices and Geometric Phases for n-state Systems

Details Density Matrices and Geometric Phases for n-state Systems Density Matrices and Geometric Phases for n-state Systems

1998-10-28

arxiv.org/abs/quant-ph/9810084v1

Physics

Quantum Physics

10 pages LaTeX2e, UT article class, 1 figure

Scientific paper

An explicit parameterization is given for the density matrices for $n$-state systems. The geometry of the space of pure and mixed states and the entropy of the $n$-state system is discussed. Geometric phases can arise in only specific subspaces of the space of all density matrices. The possibility of obtaining nontrivial abelian and nonabelian geometric phases in these subspaces is discussed.

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