Covariant quantum instruments

TL;DR

This paper investigates the structure of covariant quantum instruments, providing a general theorem and detailed characterization for cases involving irreducible representations of locally compact groups.

Contribution

It introduces a comprehensive structure theorem for covariant quantum instruments and characterizes them in the context of irreducible group representations.

Findings

Derived a general structure theorem for covariant instruments.

Provided detailed characterization for irreducible group representations.

Enhanced understanding of symmetry properties in quantum measurement theory.

Abstract

The structure of covariant instruments is studied and a general structure theorem is derived. A detailed characterization is given to covariant instruments in the case of an irreducible representation of a locally compact group.