Global asymmetry of many-qubit correlations: A lattice gauge theory approach

Understand

We introduce a novel bridge between the familiar gauge field theory approaches used in many areas of modern physics such as quantum field theory and the SLOCC protocols familiar in quantum information.

• Although the mathematical methods are the same the meaning of the gauge group will be different.
• The measure we introduce, `twist', is constructed as a Wilson loop from a correlation induced holonomy.
• The measure can be understood as the global asymmetry of the bipartite correlations in a loop of three or more qubits; if the holonomy is trivial (the identity matrix), the bipartite correlations can be globally untwisted using general local qubit operations, the gauge group of our theory, which turns out to be the group of Lorentz transformations familiar from special relativity.