  In the field of quantum information science and technology, the
representation and visualization of quantum states and related processes are
essential for both research and education. In this context, a focus especially
lies on ensembles of few qubits. There exist many powerful representations for
single-qubit and multi-qubit systems, such as the famous Bloch sphere and
generalizations. Here, we utilize the dimensional circle notation as a
representation of such ensembles, adapting the so-called circle notation of
qubits and the idea of representing the n-particle system in an n-dimensional
space. We show that the mathematical conditions for separability lead to
symmetry conditions of the quantum state visualized, offering a new perspective
on entanglement in few-qubit systems and therefore on various quantum
algorithms. In this way, dimensional notations promise significant potential
for conveying nontrivial quantum entanglement properties and processes in
few-qubit systems to a broader audience, and could enhance understanding of
these concepts as a bridge between intuitive quantum insight and formal
mathematical descriptions.
