Giovannini, DRomero, JLeach, JDudley, Angela LForbes, APadgett, MJ2014-06-172014-06-172013-04Giovannini, D, Romero, J, Leach, J, Dudley, A.L., Forbes, A and Padgett, M.J. 2013. Characterization of high-dimensional entangled systems via mutually unbiased measurements. Physical Review Letters, vol. 110, pp 143601-1 - 143601-50031-9007http://journals.aps.org/prl/pdf/10.1103/PhysRevLett.110.143601http://hdl.handle.net/10204/7471Copyright: 2013 American Physical Society. This is an Open Access journal. The journal authorizes the publication of the information herewith contained. Published in Physical Review Letters, vol. 110, pp 143601-1 - 143601-5Mutually 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 = 2 to 5.enMutually unbiased basesMUBsQuantum scienceQuantum key distributionArticleGiovannini, D., Romero, J., Leach, J., Dudley, A. L., Forbes, A., & Padgett, M. (2013). Characterization of high-dimensional entangled systems via mutually unbiased measurements. http://hdl.handle.net/10204/7471Giovannini, D, J Romero, J Leach, Angela L Dudley, A Forbes, and MJ Padgett "Characterization of high-dimensional entangled systems via mutually unbiased measurements." (2013) http://hdl.handle.net/10204/7471Giovannini D, Romero J, Leach J, Dudley AL, Forbes A, Padgett M. Characterization of high-dimensional entangled systems via mutually unbiased measurements. 2013; http://hdl.handle.net/10204/7471.TY - Article AU - Giovannini, D AU - Romero, J AU - Leach, J AU - Dudley, Angela L AU - Forbes, A AU - Padgett, MJ AB - 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 = 2 to 5. DA - 2013-04 DB - ResearchSpace DP - CSIR KW - Mutually unbiased bases KW - MUBs KW - Quantum science KW - Quantum key distribution LK - https://researchspace.csir.co.za PY - 2013 SM - 0031-9007 T1 - Characterization of high-dimensional entangled systems via mutually unbiased measurements TI - Characterization of high-dimensional entangled systems via mutually unbiased measurements UR - http://hdl.handle.net/10204/7471 ER -