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quant-ph2019
The Non-m-Positive Dimension of a Positive Linear Map
Nathaniel Johnston, Benjamin Lovitz, Daniel Puzzuoli
We introduce a property of a matrix-valued linear map that we call its "non-m-positive dimension" (or "non-mP dimension" for short), which measures how large a subspace can be…
quant-ph2018
On decomposable correlation matrices
Benjamin Lovitz
Correlation matrices (positive semidefinite matrices with ones on the diagonal) are of fundamental interest in quantum information theory. In this work we introduce and study the s…