Europe/Lisbon — Online

Vladimir M. Stojanovic

Vladimir M. Stojanovic, TU Darmstadt
Lie-algebraic aspects of quantum control: gate realization and W-to-GHZ state conversion

In this talk I will try to demonstrate the use of Lie-algebraic concepts in the quantum control of interacting qubit arrays, with examples from both operator (gate)- and state control. I will start from the basics of quantum control and briefly review the Lie-algebraic underpinnings of the concept of complete controllability. I will then specialize to qubit arrays with Heisenberg-type interactions, summarizing the conditions for their complete controllability and showing a few examples of gate realization. The second part of the talk will be devoted to a rather unconventional use of Lie-algebraic concepts within a dynamical-symmetry-based approach to the deterministic conversion between W- and Greenberger-Horne-Zeilinger (three-qubit) states. The underlying physical system consists of three neutral atoms subject to several external laser pulses, where the atomic ground- and a highly-excited Rydberg state play the role of the two relevant logical qubit states.


Additional file


Local participants are invited to join us in room 3.31 (3rd floor, Mathematics Department, Instituto Superior Técnico). Note that this is a new room, not room 3.10 previously announced.