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Quantum Contextuality for a Three-Level System Sans Realist Model

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Abstract

Recently, an interesting form of non-classical effect which can be considered as a form of contextuality within quantum mechanics, has been demonstrated for a four-level system by discriminating the different routes that are taken for measuring a single observable. In this paper, we provide a simpler version of that proof for a single qutrit, which is also within the formalism of quantum mechanics and without recourse to any realist hidden variable model. The degeneracy of the eigenvalues and the Lüder projection rule play important role in our proof.

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Acknowledgments

AKP thanks Prof. R. Sala Mayato for helpful discussions. AKP acknowledges the support from Ramanujan Fellowship research grant (SB/S2/RJN-083/2014). KM gratefully acknowledges the summer student fellowship from TEQIP grant and the Research Assistantship of NIT Patna.

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Authors and Affiliations

  1. National Institute of Technology Patna, Ashok Rajhpath, Bihar, 800005, India

    A. K. Pan & K. Mandal

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  1. A. K. Pan
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  2. K. Mandal
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Correspondence to A. K. Pan.

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Pan, A.K., Mandal, K. Quantum Contextuality for a Three-Level System Sans Realist Model. Int J Theor Phys 55, 3472–3478 (2016). https://doi.org/10.1007/s10773-016-2974-2

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  • DOI: https://doi.org/10.1007/s10773-016-2974-2

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