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math.PR2024★ 2 cited
Injective norm of real and complex random tensors I: From spin glasses to geometric entanglement
Stephane Dartois, Benjamin McKenna
The injective norm is a natural generalization to tensors of the operator norm of a matrix. In quantum information, the injective norm is one important measure of genuine multipart…
math.PR2023
The -circular limit of random tensor flattenings
Stéphane Dartois, Camille Male, Ion Nechita
The tensor flattenings appear naturally in quantum information when one produces a density matrix by partially tracing the degrees of freedom of a pure quantum state. In this paper…