Publikation
Visualizing entanglement in multiqubit systems
Jonas Bley; Eva Rexigel; Alda Arias; Nikolas Longen; Lars Krupp; Maximilian Kiefer-Emmanouilidis; Paul Lukowicz; Anna Donhauser; Stefan Küchemann; Jochen Kuhn; Artur Widera
In: Physical Review Research, Vol. 6, No. 2, Pages 0-0, APS, 2024.
Zusammenfassung
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 lies especially
on ensembles of few qubits. There exist many powerful representations for single-qubit and multiqubit 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 then-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.