notesum.ai

Published at December 6

quant-ph

cs.SY

eess.SY

math-ph

math.MP

Released Date: December 6, 2024

Authors: Tommaso Grigoletto¹, Yukuan Tao², Francesco Ticozzi¹, Lorenza Viola²

Aff.: ¹University of Padova; ²Dartmouth College

	$\dim(\cdot)$		Output algebra structure
$N$	$\mathscr{N}^{\perp}$	$\mathscr{O}$	$\mathscr{O}\simeq$

2	4	6	$2\mathbb{C}\oplus\mathbb{C}^{2\times 2}$
3	18	20	$2\mathbb{C}\oplus 2\mathbb{C}^{3\times 3}$
4	59	70	$2\mathbb{C}\oplus 2\mathbb{C}^{4\times 4}\oplus\mathbb{C}^{6\times 6}$
5	108	252	$2\mathbb{C}\oplus 2\mathbb{C}^{5\times 5}\oplus 2\mathbb{C}^{10\times 10}$
6	121	924	$2\mathbb{C}\oplus 2\mathbb{C}^{6\times 6}\oplus 2\mathbb{C}^{15\times 15}% \oplus\mathbb{C}^{20\times 20}$