Communications in Mathematical Physics

, Volume 358, Issue 3, pp 1007–1025 | Cite as

Highly Entangled, Non-random Subspaces of Tensor Products from Quantum Groups

  • Michael Brannan
  • Benoît Collins


In this paper we describe a class of highly entangled subspaces of a tensor product of finite-dimensional Hilbert spaces arising from the representation theory of free orthogonal quantum groups. We determine their largest singular values and obtain lower bounds for the minimum output entropy of the corresponding quantum channels. An application to the construction of d-positive maps on matrix algebras is also presented.


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© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Department of MathematicsMailstop 3368, Texas A&M UniversityCollege StationUSA
  2. 2.Department of MathematicsKyoto UniversityKyotoJapan
  3. 3.CNRSInstitut Camille Jordan UniversitéLyon 1France

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