# Schmidt rank constraints in quantum information theory

@inproceedings{Cariello2021SchmidtRC,
title={Schmidt rank constraints in quantum information theory},
author={Daniel Cariello},
year={2021}
}
• D. Cariello
• Published 8 April 2020
• Computer Science, Mathematics
Abstract. Can vectors with low Schmidt rank form mutually unbiased bases? Can vectors with high Schmidt rank form positive under partial transpose states? In this work, we address these questions by presenting several new results related to Schmidt rank constraints and their compatibility with other properties. We provide an upper bound on the number of mutually unbiased bases of Cm ⊗ Cn (m ≤ n) formed by vectors with low Schmidt rank. In particular, the number of mutually unbiased product…

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