TOWARD A SET OF THE QUANTUM NUMBERS

Galina A. Nemova

Roger Cooperman, A.E. Petrunina V.V.

Paul Peter Urone, Roger A. Hinrichs

Vern I. Paulsen, Ivan G. Todorov

We define several new types of quantum chromatic numbers of a graph and characterize them in terms of operator system tensor products. We establish inequalities between these chromatic numbers and other parameters of graphs studied in the literature and exhibit a link between them and non-signalling correlation boxes.

Roger Cooperman, A.E. Petrunina V.V.

Main result: every ℚ-structured circuit has its dynamical Lie algebra inside 𝔰𝔭(2ⁿ⁻¹) or 𝔰𝔬(2ⁿ), and its loss variance is exactly 1/(2ⁿ − (−1)ⁿ), the Haar value up to ±1; the quaternionic restriction alone therefore does not remove the barren plateau.

Siyi Wang, Anupam Chattopadhyay