  We develop a theory of charge-parity-time (CPT) frameness resources to
circumvent CPT-superselection. We construct and quantify such resources for
spin~0, $\frac{1}{2}$, 1, and Majorana particles and show that quantum
information processing is possible even with CPT superselection. Our method
employs a unitary representation of CPT inversion by considering the aggregate
action of CPT rather than the composition of separate C, P and T operations, as
some of these operations involve problematic anti-unitary representations.
