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17 papers · 2 filters
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…
Four remarks on spin coherent states
Anna Baecklund, Ingemar Bengtsson
We discuss how to recognize the constellations seen in the Majorana representation of quantum states. Then we give explicit formulas for the metric and symplectic form on SU(2) orb…
Topological insulators with arbitrarily tunable entanglement
J. C. Budich, J. Eisert, E. J. Bergholtz
We elucidate how Chern and topological insulators fulfill an area law for the entanglement entropy. By explicit construction of a family of lattice Hamiltonians, we are able to dem…
Simple Hardy-like proof of quantum contextuality
Adan Cabello, Piotr Badziag, Marcelo Terra Cunha +1
Contextuality and nonlocality are two fundamental properties of nature. Hardy's proof is considered the simplest proof of nonlocality and can also be seen as a particular violation…
Multiple-time-scale Landau-Zener transitions in many-body systems
Jonas Larson
Motivated by recent cold atom experiments in optical lattices, we consider a lattice version of the Landau-Zener problem. Every single site is described by a Landau-Zener problem,…