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arXiv · 1912.10100

Isoclinic Subspaces and Quantum Error Correction

David W. Kribs·David Mammarella·Rajesh Pereira
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Abstract

We exhibit equivalent conditions for subspaces of an inner product space to be isoclinic, including a characterization based on the classical notion of canonical angles. We identify a connection with quantum error correction, showing that every quantum error correcting code is associated with a family of isoclinic subspaces, and we prove a converse for pairs of such subspaces. We also show how the canonical angles for isoclinic subspaces arise in the structure of the higher rank numerical ranges of the corresponding orthogonal projections.

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BibTeXRIS

David W. Kribs, David Mammarella, Rajesh Pereira. 2019-12-20. Isoclinic Subspaces and Quantum Error Correction. https://arxiv.org/abs/1912.10100

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