The scalar curvature of the Bures metric on the space of density matrices
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Publication:1305340
DOI10.1016/S0393-0440(98)00068-0zbMath0966.53014arXivquant-ph/9810012MaRDI QIDQ1305340
Publication date: 14 November 1999
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/9810012
Applications of local differential geometry to the sciences (53B50) Local Riemannian geometry (53B20)
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Cites Work
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- A gauge field governing parallel transport along mixed states
- Parallel transport and ``quantum holonomy along density operators
- Yang-Mills equation and Bures metric
- Some properties of the Riemannian Bures metric on mixed states
- Generalized uncertainty relations: theory, examples, and Lorentz invariance
- Monotone metrics on matrix spaces
- Classical states via decoherence
- Differential-geometrical methods in statistics
- Matrix calculations for Liapunov quadratic forms
- Explicit formulae for the Bures metric
- Connections and metrics respecting purification of quantum states
- Die Fisher-Information und symplektische Strukturen
- How and Why to Solve the Operator Equation AX −XB = Y
- Bures and statistical distance for squeezed thermal states
- Statistical distance and the geometry of quantum states
