154 citations · 391 across the 63 of their papers we have counts for
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Geometry of quantum evolution for mixed quantum states
Ole Andersson, Hoshang Heydari
The geometric formulation of quantum mechanics is a very interesting field of research which has many applications in the emerging field of quantum computation and quantum informat…
Quantum speed limits and optimal Hamiltonians for driven systems in mixed states
Ole Andersson, Hoshang Heydari
Inequalities of Mandelstam-Tamm and Margolus-Levitin type provide lower bounds on the time it takes for a quantum system to evolve from one state into another. Knowledge of such bo…
Dynamic Distance Measures on Spaces of Isospectral Mixed Quantum States
Ole Andersson, Hoshang Heydari
Distance measures are indispensable tools in quantum information processing and quantum computing. This since they can be used to quantify to what extent information is preserved,…
Geometry of quantum dynamics and optimal control for mixed states
Ole Andersson, Hoshang Heydari
Geometric effects make evolution time vary for different evolution curves that connect the same two quantum states. Thus, it is important to be able to control along which path a q…
Geometry of quantum dynamics and a time-energy uncertainty relation for mixed states
Ole Andersson, Hoshang Heydari
In this paper we establish important relations between Hamiltonian dynamics and Riemannian structures on phase spaces for unitarily evolving finite level quantum systems in mixed s…
Geometric uncertainty relation for mixed quantum states
Ole Andersson, Hoshang Heydari
In this paper we use symplectic reduction in an Uhlmann bundle to construct a principal fiber bundle over a general space of unitarily equivalent mixed quantum states. The bundle,…