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arxiv: quant-ph/9806018 · v1 · submitted 1998-06-05 · 🪐 quant-ph · math-ph· math.MP

Yang-Mills Equation and Bures Metric

classification 🪐 quant-ph math-phmath.MP
keywords buresequationmetricyang-millsberryconnectiondensitydimensional
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It is shown that the connection form (gauge field) related to the generalization of the Berry phase to mixed states proposed by Uhlmann satisfies the source-free Yang-Mills equation *D*Dw=0, where the Hodge star is taken with respect to the Bures metric on the space of finite dimensional nondegenerate density matrices.

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