Hamburg 2009 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 39: Quanteninformation: Konzepte V

Q 39.6: Talk

Wednesday, March 4, 2009, 17:45–18:00, VMP 6 HS-D

A Unified View on Controllability of Spin Chains — •Uwe Sander, Andreas Spörl, and Thomas Schulte-Herbrüggen — Technische Universität München, Department Chemie, Lichtenbergstr. 4, 85747 Garching

Lie theory provides a powerful tool for addressing controllability of quantum systems such as spin-chains with nearest-neighbour Ising or Heisenberg interactions. In a unified picture, we describe the family of fully controllable spin chains as well as chains whose controllability is restricted by symmetry. Even in these restricted cases Lie-algebraic tools allow one to assess whether special tasks like transferring qubit-packages from one end to the other are feasible. The results can be generalised to arbitrary spin topologies.