Three-qubit topological phase on entangled photon pairs

Abstract

We propose an experiment to observe the topological phases associated with cyclic evolutions, generated by local SU(2) operations, on three-qubit entangled states prepared on different degrees of freedom of entangled photon pairs. The topological phases reveal the nontrivial topological structure of the local SU(2) orbits. We describe how to prepare states showing different topological phases, and discuss their relation to entanglement. In particular, the presence of a $\pi /2$ phase shift is a signature of genuine tripartite entanglement in the sense that it does not exist for two-qubit systems.

10 pages, 8 figure captions, 13 figures

References in corpus (4)

• Correlations in orbital angular momentum of spatially entangled paired photons generated in parametric downconversion
• Phase Dynamics of Two Entangled Qubits
• Experimental Observation of a Topological Phase in the Maximally Entangled State of a Pair of Qubits
• Topological phases and multiqubit entanglement

Cited by in corpus (9)

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• Geometric phases in quantum information
• Topological phase structure of vector vortex beams
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• Classification scheme of pure multipartite states based on topological phases
• Experimental observation of fractional topological phases with photonic qudits
• Maximal entanglement of two delocalized spin-$\frac{1}{2}$ particles
• Non Abelian structures and the geometric phase of entangled qudits
• Intrinsic bounds of a two-qudit random evolution