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An alternative approach to the construction of Schur-Weyl transform

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Abstract

We propose an alternative approach for the construction of the unitary matrix which performs generalized unitary rotations of the system consisting of independent identical subsystems (for example spin system). This matrix, when applied to the system, results in a change of degrees of freedom, uncovering the information hidden in non-local degrees of freedom. This information can be used, inter alia, to study the structure of entangled states, their classification and may be useful for construction of quantum algorithms.

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Authors and Affiliations

  1. Faculty of Mathematics and Natural Sciences, University of Rzeszów, Rejtana 16A, 35-959, Rzeszów, Poland

    Paweł Jakubczyk

  2. Centre de Physique Théorique (CPHT), École Polytechnique, 91128, Palaiseau, France

    Yevgen Kravets

  3. Department of Physics, Rzeszów University of Technology, al. Powstańców Warszawy 12, 35-959, Rzeszów, Poland

    Dorota Jakubczyk

Authors
  1. Paweł Jakubczyk
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  2. Yevgen Kravets
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  3. Dorota Jakubczyk
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Corresponding author

Correspondence to Yevgen Kravets.

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Jakubczyk, P., Kravets, Y. & Jakubczyk, D. An alternative approach to the construction of Schur-Weyl transform. Eur. Phys. J. D 69, 36 (2015). https://doi.org/10.1140/epjd/e2014-50316-y

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  • DOI: https://doi.org/10.1140/epjd/e2014-50316-y

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