F De Zela 2005 J. Opt. B: Quantum Semiclass. Opt. 7 372 doi:10.1088/1464-4266/7/11/009
Topological phase for entangled two-qubit states and the representation of the SO(3) group
F De Zela
Show affiliationsWe discuss the representation of the SO(3) group by two-qubit maximally entangled states (MES). We analyse the correspondence between SO(3) and the set of two-qubit MES which are experimentally realizable. As a result, we offer a new interpretation of some recently proposed experiments based on MES. Employing the tools of quantum optics, we treat in terms of two-qubit MES some classical experiments in neutron interferometry, which showed the π-phase accrued by a spin-1/2 particle precessing in a magnetic field. By so doing, we can analyse the extent to which the recently proposed experiments—and future ones of the same sort—would involve essentially new physical aspects as compared with those performed in the past. We argue that the proposed experiments do extend the possibilities for displaying the double connectedness of SO(3), although for that to be the case it becomes necessary to map elements of SU(2) onto physical operations acting on two-level systems.
- PACS
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03.65.Vf Phases: geometric; dynamic or topological
42.50.Dv Quantum state engineering and measurements
02.20.Qs General properties, structure, and representation of Lie groups
- Subjects
- Dates
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Issue 11 (November 2005)
Received 4 July 2005, accepted for publication 13 October 2005
Published 31 October 2005
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Topological phase for entangled two-qubit states and the representation of the SO(3) group
F De Zela 2005 J. Opt. B: Quantum Semiclass. Opt. 7 372
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