Identifying non-k-separability of a class of N-qubit complete graph states using correlation tensors.

Ananth, N.; Senthilvelan, M.

We derive a general expression for standard tensor norm of N-body correlation tensors for N-qubit complete graph states. With the help of this expression, we formulate a separability criterion that identifies non- k-separability of a class of N-qubit complete graph states, including GHZ state. We illustrate the performance of our criterion by considering the N-qubit complete graph states added with colored product noise. We also demonstrate that few local measurement settings are sufficient to evaluate our criterion. Graphical abstract: [Figure not available: see fulltext.]

TENSOR algebra; MANY-body problem; COMPLETE graphs; QUANTUM information theory; GRAPHIC methods in statistics

European Physical Journal D (EPJ D), 2016, Vol 70, Issue 7, p1

1434-6060

Academic Journal

10.1140/epjd/e2016-70056-2