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Matrix representations for adjoint and anti-adjoint operators in multi-spin 1/2 systems

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Abstract

This paper focuses on investigating the problems of matrix representations of adjoint and anti-adjoint operators as well as computations for these matrices in multi-spin 1/2 systems. By introducing a multi-index transformation mapping, adjoint and anti-adjoint operators on tensor space as well as their matrix representations are defined to describe dynamics of multi-spin 1/2 systems. Formulas for computing these matrices of the adjoint and anti-adjoint operators in multi-spin 1/2 systems are given in terms of matrix representations of the adjoint and anti-adjoint operators in single-spin 1/2 systems.

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Authors and Affiliations

  1. Institute of Automation, Hangzhou Dianzi University, 310018, Hangzhou, Zhejiang, People’s Republic of China

    Shaosheng Zhou & Shizhou Fu

Authors
  1. Shaosheng Zhou
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  2. Shizhou Fu
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Corresponding author

Correspondence to Shaosheng Zhou.

Additional information

This work was supported in part by the National Natural Science Foundation of P. R. China under Grants 60974006 and 60934009, and by the 973 program No 2009CB320600.

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Zhou, S., Fu, S. Matrix representations for adjoint and anti-adjoint operators in multi-spin 1/2 systems. Quantum Inf Process 10, 379–394 (2011). https://doi.org/10.1007/s11128-010-0203-0

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  • DOI: https://doi.org/10.1007/s11128-010-0203-0

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