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On Quasi Quantum Quadratic Operators of M 2(C)

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International Conference on Mathematical Sciences and Statistics 2013

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Abstract

In the present paper we study quasi quantum quadratic operators (q.q.o) acting on the algebra of 2 × 2 matrices M 2(C). We describe quasi q.q.o. with Haar state, and prove that if a symmetric quasi q.q.o. with Haar state is q-pure, then it cannot be positive.

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Acknowledgement

The authors acknowledge the MOHE grant FRGS11-022-0170 and the Junior Associate scheme of the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy.

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Authors and Affiliations

  1. Department of Computational & Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, Selayang, Selangor, Malaysia

    Farrukh Mukhamedov & Abduaziz Abduganiev

Authors
  1. Farrukh Mukhamedov
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  2. Abduaziz Abduganiev
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Correspondence to Farrukh Mukhamedov .

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Editors and Affiliations

  1. University Putra Malaysia, Serdang, Selangor, Malaysia

    Adem Kilicman

  2. University Putra Malaysia, Serdang, Selangor, Malaysia

    Wah June Leong

  3. University Putra Malaysia, Serdang, Selangor, Malaysia

    Zainidin Eshkuvatov

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Mukhamedov, F., Abduganiev, A. (2014). On Quasi Quantum Quadratic Operators of M 2(C). In: Kilicman, A., Leong, W., Eshkuvatov, Z. (eds) International Conference on Mathematical Sciences and Statistics 2013. Springer, Singapore. https://doi.org/10.1007/978-981-4585-33-0_18

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