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Direct measurement of a 27-dimensional orbital-angular-momentum state vector

Malik, Mehul and Mirhosseini, Mohammad and Lavery, Martin P. J. and Leach, Jonathan and Padgett, Miles J. and Boyd, Robert W. (2014) Direct measurement of a 27-dimensional orbital-angular-momentum state vector. Nature Communications, 5 (1). Art. no. 3115. ISSN 2041-1723. doi:10.1038/ncomms4115.

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The measurement of a quantum state poses a unique challenge for experimentalists. Recently, the technique of ‘direct measurement’ was proposed for characterizing a quantum state in situ through sequential weak and strong measurements. While this method has been used for measuring polarization states, its real potential lies in the measurement of states with a large dimensionality. Here we show the practical direct measurement of a high-dimensional state vector in the discrete basis of orbital angular momentum. Through weak measurements of orbital angular momentum and strong measurements of angular position, we measure the complex probability amplitudes of a pure state with a dimensionality, d=27. Further, we use our method to directly observe the relationship between rotations of a state vector and the relative phase between its orbital-angular-momentum components. Our technique has important applications in high-dimensional classical and quantum information systems and can be extended to characterize other types of large quantum states.

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Boyd, Robert W.0000-0002-1234-2265
Additional Information:© 2014 Macmillan Publishers Limited. Received 22 October 2013. Accepted 16 December 2013. Published 20 January 2014. This work was supported by the DARPA InPho program, the Canadian Excellence Research Chair (CERC) program, the Engineering and Physical Sciences Research Council (EPSRC), the Royal Society and the European Commission through a Marie Curie fellowship. M.Malik would like to thank Dr Justin Dressel for helpful discussions. Author Contributions: M.Ma. devised the concept of the experiment. M.Ma. and M.Mi. performed the experiment and analysed data. M.P.J.L. assisted with the experiment. J.L. advised on early aspects of experimental design. R.W.B. and M.J.P. supervised the project. M.Ma. wrote the manuscript with contributions from all authors. The authors declare no competing financial interests.
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Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Canada Research Chairs ProgramUNSPECIFIED
Engineering and Physical Sciences Research Council (EPSRC)UNSPECIFIED
Marie Curie FellowshipUNSPECIFIED
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Record Number:CaltechAUTHORS:20190628-110703716
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Official Citation:Malik, M. et al. Direct measurement of a 27-dimensional orbital-angular-momentum state vector. Nat. Commun. 5:3115 doi: 10.1038/ncomms4115 (2014).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:96829
Deposited By: George Porter
Deposited On:01 Jul 2019 15:17
Last Modified:16 Nov 2021 17:24

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