###### Answer: C. -x³+x²-1

D1) in all inertial frames for events connected by light signals . The quantity on the left is called the spacetime interval between events a 1 = (t 1 x 1 y 1 z 1) and a 2 = (t 2 x 2 y 2 z 2) . The interval between any two events not necessarily separated by light signals is in fact invariant i.e. independent of the state of relative motion of observers in different inertial …

The Pauli- X gate acts on a single qubit. It is the quantum equivalent of the NOT gate for classical computers (with respect to the standard basis | | which distinguishes the Z-direction; in the sense that a measurement of the eigenvalue +1 corresponds to classical 1/true and -1 to 0/false).It equates to a rotation around the X -axis of the Bloch sphere by radians.

In the study of the representation theory of Lie groups the study of representations of SU(2) is fundamental to the study of representations of semisimple Lie groups.It is the first case of a Lie group that is both a compact group and a non-abelian group.The first condition implies the represent…