3 papers
math.PR2026
A moment-based approach to the injective norm of random tensors
Stephane Dartois, Benjamin McKenna
In this paper, we present a technically simple method to establish upper bounds on the expected injective norm of real and complex random tensors. Our approach is somewhat analogou…
math.PR2025
On the injective norm of random fermionic states and skew-symmetric tensors
Stephane Dartois, Parham Radpay
We study the injective norm of random skew-symmetric tensors and the associated fermionic quantum states, a natural measure of multipartite entanglement for systems of indistinguis…
quant-ph2025
The injective norm of CSS quantum error-correcting codes
Stephane Dartois, Gilles Zémor
In this paper, we compute the injective norm - a.k.a. geometric entanglement - of standard basis states of CSS quantum error-correcting codes. The injective norm of a quantum state…