Abstract
Abstract
The Grothendieck theorem considers a ‘classical’ quadratic form
C
that uses complex scalars in the unit disc, and the corresponding ‘quantum’ quadratic form
Q
that replaces the scalars with vectors in the unit ball of a Hilbert space. It shows that when
C
≤
1
then
Q
might take values greater than 1, up to the complex Grothendieck constant kG
. Previous work in a quantum context, used Grothendieck’s theorem with multipartite entangled systems, in contrast to the present work which uses it for a single quantum system. The emphasis in the paper is in examples with
Q
∈
(
1
,
k
G
)
, which is a classically forbidden region in the sense that
C
cannot take values in it.
Subject
Computer Science Applications,History,Education