Characterization of high-dimensional entangled systems via mutually unbiased measurements

Giovannini, D., Romero, J., Leach, J., Dudley, A., Forbes, A. and Padgett, M.J. (2013) Characterization of high-dimensional entangled systems via mutually unbiased measurements. Physical Review Letters, 110(14), 143601. (doi:10.1103/PhysRevLett.110.143601) (PMID:25166985) (PMCID:25166985)

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Abstract

Mutually unbiased bases (MUBs) play a key role in many protocols in quantum science, such as quantum key distribution. However, defining MUBs for arbitrary high-dimensional systems is theoretically difficult, and measurements in such bases can be hard to implement. We show experimentally that efficient quantum state reconstruction of a high-dimensional multipartite quantum system can be performed by considering only the MUBs of the individual parts. The state spaces of the individual subsystems are always smaller than the state space of the composite system. Thus, the benefit of this method is that MUBs need to be defined for the small Hilbert spaces of the subsystems rather than for the large space of the overall system. This becomes especially relevant where the definition or measurement of MUBs for the overall system is challenging. We illustrate this approach by implementing measurements for a high-dimensional system consisting of two photons entangled in the orbital angular momentum degree of freedom, and we reconstruct the state of this system for dimensions of the individual photons from d ¼ 2 to 5.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Padgett, Professor Miles and Romero, Dr Mary and Giovannini, Dr Daniel and Leach, Mr Jonathan
Authors: Giovannini, D., Romero, J., Leach, J., Dudley, A., Forbes, A., and Padgett, M.J.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review Letters
Publisher:American Physical Society
ISSN:0031-9007
Copyright Holders:Copyright © 2013 The Authors
First Published:First published in Physical Review Letters 110(14):143601
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
549871Challenges in Orbital Angular MomentumMiles PadgettEngineering & Physical Sciences Research Council (EPSRC)EP/I012451/1P&A - PHYSICS & ASTRONOMY