Five Measurement Bases Determine Pure Quantum States on Any Dimension.

@article{Goyeneche2015FiveMB,
  title={Five Measurement Bases Determine Pure Quantum States on Any Dimension.},
  author={Dardo Goyeneche and G Ca{\~n}as and Sebasti'an Etcheverry and Esteban S. G{\'o}mez and Guilherme B. Xavier and Gustavo Lima and Aldo Delgado},
  journal={Physical review letters},
  year={2015},
  volume={115 9},
  pages={
          090401
        }
}
A long-standing problem in quantum mechanics is the minimum number of observables required for the characterization of unknown pure quantum states. The solution to this problem is especially important for the developing field of high-dimensional quantum information processing. In this work we demonstrate that any pure d-dimensional state is unambiguously reconstructed by measuring five observables, that is, via projective measurements onto the states of five orthonormal bases. Thus, in our… 

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