Volume 103, Number 6, September 2013
|Number of page(s)||5|
|Published online||22 October 2013|
Non-Abelian off-diagonal geometric phases in nano-engineered four-qubit systems
1 Department of Physics and Electrical Engineering, Linnaeus University - 391 82 Kalmar, Sweden, EU
2 Department of Quantum Chemistry, Uppsala University - Box 518, Se-751 20 Uppsala, Sweden, EU
3 Centre for Quantum Technologies, National University of Singapore - 3 Science Drive 2, 117543 Singapore, Singapore
Received: 26 July 2013
Accepted: 26 September 2013
The concept of off-diagonal geometric phase (GP) has been introduced in order to recover interference information about the geometry of quantal evolution where the standard GPs are not well defined. In this letter, we propose a physical setting for realizing non-Abelian off-diagonal GPs. The proposed non-Abelian off-diagonal GPs can be implemented in a cyclic chain of four qubits with controllable nearest-neighbor interactions. Our proposal seems to be within reach in various nano-engineered systems and therefore opens up for the first experimental test of the non-Abelian off-diagonal GP.
PACS: 03.65.Vf – Phases: geometric; dynamic or topological
© EPLA, 2013
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