Geometric local invariants and pure three-qubit states

Journal article

We explore a geometric approach to generating local SU(2) and SL(2,C) invariants for a collection of qubits inspired by lattice gauge theory. Each local invariant or "gauge" invariant is associated with a distinct closed path (or plaquette) joining some or all of the qubits. In lattice gauge theory, the lattice points are the discrete space-time points, the transformations between the points of the lattice are defined by parallel transporters, and the gauge invariant observable associated wit...

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Authors: Williamson, MS; Ericsson, M; Johansson, M; Sjöqvist, E; Sudbery, A

• Journal: Physical Review A - Atomic, Molecular, and Optical Physics
• Volume: 83
• Issue: 6
• Publication date: 2011-06-07
• DOI: 10.1103/PhysRevA.83.062308
• EISSN: 1094-1622
• ISSN: 1050-2947
• Language: English