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Spin tomography and star-product kernel for qubits and qutrits

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Abstract

Using the irreducible tensor-operator technique, we establish the relation between different forms of spin tomograms. Quantizer and dequantizer operators are presented in simple explicit forms and are specified for the low-spin states. The kernel of the star-product is evaluated for qubits and qutrits, and its connection with a generic formula is found.

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow Region, 141700, Russia

    Sergey N. Filippov

  2. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow, 119991, Russia

    Vladimir I. Man’ko

Authors
  1. Sergey N. Filippov
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  2. Vladimir I. Man’ko
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Correspondence to Sergey N. Filippov.

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Filippov, S.N., Man’ko, V.I. Spin tomography and star-product kernel for qubits and qutrits. J Russ Laser Res 30, 129–145 (2009). https://doi.org/10.1007/s10946-009-9065-2

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  • DOI: https://doi.org/10.1007/s10946-009-9065-2

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