It is a mathematical structure formed by the collection of elements known as vector. which can be added or mulitipied by a no. known as scaler in context
A set of generalized vectors and a field of scalars, together with rules for their addition and multiplication (the same rules used for ordinary vectors and scalars).The addition and the scalar multiplication induce on a real vector space structure.Most of these rely on complicated geometrical constructions or theorems drawn from vector space theory.The secret of quantum error correction is to encode a quantum state in a cleverly selected subspace of a larger vector space.