A New Generalized Schur-Weyl Duality

作者:Lei, Qiang; Yu, Haijiang; Wu, Junde*
来源:International Journal of Theoretical Physics, 2015, 54(11): 4034-4040.
DOI:10.1007/s10773-014-2457-2

摘要

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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