22-30 July 2021
North-West University
Africa/Johannesburg timezone
More Information Coming Soon

Quantitative measurements of the purity and dimensionality of high dimensional entagled states

27 Jul 2021, 16:15
15m
Potchefstroom Campus (North-West University)

Potchefstroom Campus

North-West University

Oral Presentation Track C - Photonics Photonics

Speaker

Mr Isaac Nape (Structured Light Lab, School of Physics, University of Witwatersrand)

Description

Quantum information processing beyond the traditional 2-dimensional qubit states has recently become topical, benefiting numerous applications such as quantum computing, quantum ghost imaging, quantum cryptography and quantum teleportation with high information capacities. The need to accurately characterize key performance parameters, such as the dimensionality of the encoding basis or the purity of an entangled state, is an essential step towards deploying any quantum protocol that uses high dimensional entanglement as a resource. Quantum state tomography takes far too long as the measurements scale to the fourth power with increasing dimensions while a simple spectral decomposition is not sufficient to confirm entanglement. Here, we present a simple to implement approach that scales linearly with dimensions and returns the purity and dimensionality of a quantum state accurately. In our approach a set of conditional measurements return visibilities that can be used in a simple fitting procedure to infer the purity and dimensions of the system. Our technique advances the toolbox for accurate characterisation of entangled quantum states. We demonstrate the technique in the orbital angular momentum and pixel (coordinate) basis using photons generated from spontaneous parametric down conversion.

Apply to be considered for a student ; award (Yes / No)?

Yes

Level for award;(Hons, MSc, PhD, N/A)?

PhD

Primary author

Mr Isaac Nape (Structured Light Lab, School of Physics, University of Witwatersrand)

Co-authors

Dr Valeria Rodr´ıguez-Fajardo (School of Physics) Dr Feng Zhu (School of Engineering and Physical Sciences, Heriot-Watt University) Dr Hsiao-Chih Huang (Department of Physics, National Taiwan University) Prof. Jonathan Leach (School of Engineering and Physical Sciences, Heriot-Watt University) Prof. Andrew Forbes (School of Physics, University of the Witwatersrand)

Presentation Materials