Characterising and Tailoring Spatial Correlations in Multi-Mode
Parametric Downconversion
- URL: http://arxiv.org/abs/2110.03462v1
- Date: Thu, 7 Oct 2021 13:40:28 GMT
- Title: Characterising and Tailoring Spatial Correlations in Multi-Mode
Parametric Downconversion
- Authors: Vatshal Srivastav, Natalia Herrera Valencia, Saroch
Leedumrongwatthanakun, Will McCutcheon, Mehul Malik
- Abstract summary: We formalise a description of the two-photon wavefunction in the spatial domain, referred to as the collected joint-transverse-momentum-amplitude (JTMA)
We propose and demonstrate a practical and efficient method to accurately reconstruct the collected JTMA using a simple phase-step scan known as the $2Dpi$-measurement.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Photons entangled in their position-momentum degrees of freedom (DoFs) serve
as an elegant manifestation of the Einstein-Podolsky-Rosen paradox, while also
enhancing quantum technologies for communication, imaging, and computation. The
multi-mode nature of photons generated in parametric downconversion has
inspired a new generation of experiments on high-dimensional entanglement,
ranging from complete quantum state teleportation to exotic multi-partite
entanglement. However, precise characterisation of the underlying
position-momentum state is notoriously difficult due to limitations in detector
technology, resulting in a slow and inaccurate reconstruction riddled with
noise. Furthermore, theoretical models for the generated two-photon state often
forgo the importance of the measurement system, resulting in a discrepancy
between theory and experiment. Here we formalise a description of the
two-photon wavefunction in the spatial domain, referred to as the collected
joint-transverse-momentum-amplitude (JTMA), which incorporates both the
generation and measurement system involved. We go on to propose and demonstrate
a practical and efficient method to accurately reconstruct the collected JTMA
using a simple phase-step scan known as the $2D\pi$-measurement. Finally, we
discuss how precise knowledge of the collected JTMA enables us to generate
tailored high-dimensional entangled states that maximise discrete-variable
entanglement measures such as entanglement-of-formation or entanglement
dimensionality, and optimise critical experimental parameters such as photon
heralding efficiency. By accurately and efficiently characterising photonic
position-momentum entanglement, our results unlock its full potential for
discrete-variable quantum information science and lay the groundwork for future
quantum technologies based on multi-mode entanglement.
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