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 Leach, Mr Jonathan and Giovannini, Dr Daniel and Romero, Dr Jacqui |
| 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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