Specific representations of these mathematical objects called “spiders” are generators of a string diagram in ZX-calculus. Quantum circuits are represented (-5[1])using these objects in networks that can be described using (10[1])Penrose notation. (-5[1])A multi-particle Hilbert space is constructed by applying an (10[1])operation named for these (10[1])objects (10[3])that, when (10[1])applied to spaces of dimensions m and n, produces one of dimension (-5[1])m (10[1])times (-5[1])n. (10[3])These objects (10[2]-5[1])can be divided (-5[2])into covariant and (10[1])contravariant (10[4]-5[2])components. (10[1]-5[1])A generalization (-5[1])of trace on these objects (10[1]-5[3])called “contraction” applies (10[1])when (10[1])an index appears (10[1])as both a subscript and superscript (10[1])in Einstein notation. (10[3])A product (10[1])named for these objects is denoted by a times (10[1])symbol (10[2])inside (10[1])a circle. (10[2])For 10 points, (10[1])name these objects (10[2])that correspond to multilinear (-5[1])maps (10[1]-5[1])and whose rank-2 representations (10[2]-5[1])are matrices. (10[1]0[1])■END■ (10[10]0[10])