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A New Generalized Schur-Weyl Duality

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Abstract

Schur-Weyl duality theory has many applications in quantum information and quantum computation theory. In this paper, we first give an equivalent relationship about the subgroup of unitary group U(d) and give several examples of subgroup of U(d) which satisfy the equivalent relationship. Next, we establish a new generalized Schur-Weyl which is an improvement of the classical Schur-Weyl duality and a generalized Schur-Weyl duality proved recently.

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Acknowledgments

This work is supported by National Natural Science Foundation of China (11101108 and 11171301 and J1210038) and the Doctoral Programs Foundation of Ministry of Education of China (J20130061).

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Correspondence to Junde Wu.

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Lei, Q., Yu, H. & Wu, J. A New Generalized Schur-Weyl Duality. Int J Theor Phys 54, 4034–4040 (2015). https://doi.org/10.1007/s10773-014-2457-2

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  • DOI: https://doi.org/10.1007/s10773-014-2457-2

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