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## Topological phase for entangled two-qubit states

### Abstract

International audienceEntangled states play a crucial role in quantum physics, ranging from fundamental aspects to quantum information processing. We show here that entangled two-qubit states can also be used to characterize unambiguously the subtelty of the $SO(3)$ rotation group topology. The well known two distinct families of path in this group are put in one-to-one correspondance with cyclic evolutions of these entangled states, resulting on a $\pi$ phase difference. We propose a simple quantum opticsinterference experiment to demonstrate this topological phase shift

Topics: quantum mechanics, topological phase, 03.65.Vf, 07.60.Ly, 42.50.Dv, [PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph]
Publisher: American Physical Society
Year: 2003
OAI identifier: oai:HAL:hal-00000469v1
Provided by: Hal-Diderot