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Reports on Mathematical Physics
Article . 2005 . Peer-reviewed
License: Elsevier TDM
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https://dx.doi.org/10.48550/ar...
Article . 2005
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Differential geometry of density states

Authors: MAN'KO VI; MARMO, GIUSEPPE; ZACCARIA F; SUDASRSHAN ECG;

Differential geometry of density states

Abstract

We consider a geometrization, i.e., we identify geometrical structures, for the space of density states of a quantum system. We also provide few comments on a possible application of this geometrization for composite systems.

21 pages, to appear in Rep. Math. Phys

Country
Italy
Keywords

Fubini-Study projective geometry, quantum states, Quantum Physics, FOS: Physical sciences, Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds, Quantum measurement theory, state operations, state preparations, geometric structures, Quantum Physics (quant-ph)

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    21
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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
21
Average
Top 10%
Top 10%
Green
bronze