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D'Ambrosio V, Cardano F, Karimi E, et al. Test of mutually unbiased bases for six-dimensional photonic quantum systems. Sci Rep. 2013;3:2726doi: 10.1038/srep02726.
D'Ambrosio, V., Cardano, F., Karimi, E., Nagali, E., Santamato, E., Marrucci, L., & Sciarrino, F. (2013). Test of mutually unbiased bases for six-dimensional photonic quantum systems. Scientific reports, 32726. https://doi.org/10.1038/srep02726
D'Ambrosio, Vincenzo, et al. "Test of mutually unbiased bases for six-dimensional photonic quantum systems." Scientific reports vol. 3 (2013): 2726. doi: https://doi.org/10.1038/srep02726
D'Ambrosio V, Cardano F, Karimi E, Nagali E, Santamato E, Marrucci L, Sciarrino F. Test of mutually unbiased bases for six-dimensional photonic quantum systems. Sci Rep. 2013 Sep 25;3:2726. doi: 10.1038/srep02726. PMID: 24067548; PMCID: PMC3782886.
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Sci Rep. 2013 Sep 25;3:2726. doi: 10.1038/srep02726.

Test of mutually unbiased bases for six-dimensional photonic quantum systems.

Scientific reports

Vincenzo D'Ambrosio, Filippo Cardano, Ebrahim Karimi, Eleonora Nagali, Enrico Santamato, Lorenzo Marrucci, Fabio Sciarrino

Affiliations

  1. Dipartimento di Fisica, Sapienza Università di Roma, Roma 00185, Italy.

PMID: 24067548 PMCID: PMC3782886 DOI: 10.1038/srep02726

Abstract

In quantum information, complementarity of quantum mechanical observables plays a key role. The eigenstates of two complementary observables form a pair of mutually unbiased bases (MUBs). More generally, a set of MUBs consists of bases that are all pairwise unbiased. Except for specific dimensions of the Hilbert space, the maximal sets of MUBs are unknown in general. Even for a dimension as low as six, the identification of a maximal set of MUBs remains an open problem, although there is strong numerical evidence that no more than three simultaneous MUBs do exist. Here, by exploiting a newly developed holographic technique, we implement and test different sets of three MUBs for a single photon six-dimensional quantum state (a "qusix"), encoded exploiting polarization and orbital angular momentum of photons. A close agreement is observed between theory and experiments. Our results can find applications in state tomography, quantitative wave-particle duality, quantum key distribution.

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