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Linear-optical systems can implement photonic quantum walks that simulatesystems with nontrivial topological properties. Here, such photonic walks areused to jointly entangle polarization and winding number. This jointentanglement allows information processing tasks to be performed withinteractive access to a wide variety of topological features. Topologicalconsiderations are used to suppress errors, with polarization allowing easymeasurement and manipulation of qubits. We provide three examples of thisapproach: production of two-photon systems with entangled winding number(including topological analogs of Bell states), a topologically error-protectedoptical memory register, and production of entangled topologicallyprotectedboundary states. In particular it is shown that a pair of quantum memoryregisters, entangled in polarization and winding number, withtopologically-assisted error suppression can be made with qubits stored insuperpositions of winding numbers; as a result, information processing withwinding number-based qubits is a viable possibility.

Joint Entanglement of Topology and Polarization Enables Error-Protected Quantum Registers