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Frontiers in Optics

Efficient spatially resolved tomography of polarization entanglement using a fast camera

Cheng Li, Girish Kulkarni, Isaac Soward, Yingwen Zhang, Jeremy Upham, Duncan G. England, ANDREI NOMEROTSKI, Ebrahim Karimi, Robert W. Boyd

Published Jan 1, 2023• 1 citation
Publisher

Abstract

We demonstrate a highly efficient scheme for spatially resolving the polarization entanglement of photon pairs emitted into different paths. This scheme allows probing a two-photon entangled state with an effective dimensionality of over 1000. Our results pave the way for the practical implementations of quantum technologies based on high-dimensional entanglement.

DOI
10.1364/ls.2023.lm5f.4

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Current photon entangling schemes require resources that grow with the photon number. We present a new approach that generates quantum entanglement between many photons, using only a single source of entangled photon pairs. The different spatial modes, one for each photon as required by other schemes, are replaced by different time slots of only two spatial modes. States of any number of photons are generated with the same setup, solving the scalability problem caused by the previous need for extra resources. Consequently, entangled photon states of larger numbers than before are practically realizable.
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Vector modes are fully polarized modes of light with spatially varying polarization distributions, and they have found widespread use in numerous applications such as microscopy, metrology, optical trapping, nanophotonics, and communications. The entanglement of such modes has attracted significant interest, and it has been shown to have tremendous potential in expanding existing applications and enabling new ones. However, due to the complex spatially varying polarization structure of entangled vector modes (EVMs), a complete entanglement characterization of these modes remains challenging and time consuming. Here, we have used a time-tagging event camera to demonstrate the ability to completely characterize the entanglement of EVMs. Leveraging the camera's capacity to provide independent measurements for each pixel, we simultaneously characterize the entanglement of approximately 2.6×10^{6} modes between a bipartite EVM through measuring only 16 observables in polarization. We reveal that EVMs can naturally generate various polarization-entangled Bell states. This achievement is an important milestone in high-dimensional entanglement characterization of structured light, and it could significantly impact the implementation of related quantum technologies. The potential applications of this technique are extensive, and it could pave the way for advancements in quantum communication, quantum imaging, and other areas where structured entangled photons play a crucial role.