Fractional topological phase on spatially encoded photonic qudits

Abstract

We discuss the appearance of fractional topological phases on cyclic evolutions of entangled qudits encoded on photonic degrees of freedom. We show how the spatial correlations between photons generated by spontaneous parametric down conversion can be used to evidence the multiple topological phases acquired by entangled qudits and the role played by the Hilbert space dimension. A realistic experimental proposal is presented with numerical predictions of the expected results.

7 pages, 5 figure captions, 9 figures

References in corpus (4)

• Generalized Toffoli gates using qudit catalysis
• 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 (11)

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• Geometric phases in quantum information
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• Classification scheme of pure multipartite states based on topological phases
• Experimental observation of fractional topological phases with photonic qudits
• Universal linear optical operations on discrete phase-coherent spatial modes
• Geometrical, topological and dynamical description of $\mathcal{N}$ interacting spin-$\mathtt{s}$ under long-range Ising model and their interplay with quantum entanglement
• Non Abelian structures and the geometric phase of entangled qudits
• Intrinsic bounds of a two-qudit random evolution