Topological phase for entangled two-qubit states

Details Topological phase for entangled two-qubit states Topological phase for entangled two-qubit states

2003-02-28

arxiv.org/abs/quant-ph/0302202v1

Physics

Quantum Physics

2 figures

Scientific paper

10.1103/PhysRevLett.90.230403

We present an unambiguous characterization of the rotation group SO(3) biconnectedness topology using two-qubit maximally entangled states. We show how to generate cyclic evolutions of these states, which are in one-to-one correspondence to closed paths in SO(3). The difference between the well known two classes of such paths translates into the gain of a global phase of $\pi$ for one class and no phase change for the other. We propose a simple quantum optics interference experiment to demonstrate this topological phase shift.

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