Measurement strategy for spatially encoded photonic qubits

Abstract

We propose a measurement strategy which can, probabilistically, reproduce the statistics of any observable for spatially encoded photonic qubits. It comprises the implementation of a two-outcome positive operator-valued measure followed by a detection in a fixed transverse position, making the displacement of the detection system unnecessary, unlike previous methods. This strategy generalizes a scheme recently demonstrated by one of us and co-workers restricted to measurement of observables with equatorial eigenvectors only. The method presented here can be implemented with the current technology of programmable multipixel liquid-crystal displays. In addition, it can be straightforwardly extended to high-dimensional qudits and may be a valuable tool in optical implementations of quantum information protocols with spatial qubits and qudits.

5 pages, 2 figures. Published version

References in corpus (7)

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Cited by in corpus (7)

• Applying the simplest Kochen-Specker set for quantum information processing
• Preparing arbitrary pure states of spatial qudits with a single phase-only spatial light modulator
• Experimental simulation of decoherence in photonics qudits
• Experimental implementation of an eight-dimensional Kochen-Specker set and observation of its connection with the Greenberger-Horne-Zeilinger theorem
• Remote state preparation of spatial qubits
• Optimized generation of spatial qudits by using a pure phase spatial light modulator
• Quantum coherence of spatial photonic qudits: experimental measurement and path-marker analysis