154 citations · 391 across the 63 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
quant-ph2014★ 3 cited
Geometric uncertainty relation for quantum ensembles
Hoshang Heydari, Ole Andersson
Geometrical structures of quantum mechanics provide us with new insightful results about the nature of quantum theory. In this work we consider mixed quantum states represented by…
quant-ph2014★ 6 cited
A Symmetry Approach to Geometric Phase for Quantum Ensembles
Ole Andersson, Hoshang Heydari
We use tools from the theory of dynamical systems with symmetries to stratify Uhlmann's standard purification bundle and derive a new connection for mixed quantum states. For unita…
quant-ph2014
A geometric framework for mixed quantum states based on a Kähler structure
Hoshang Heydari
In this paper we introduce a geometric framework for mixed quantum states based on a Kähler structure. The geometric framework includes a symplectic form, an almost complex structu…