Constructing N-qubit entanglement monotones from antilinear operators (4 pages)

By A. Osterloh, Jens Siewert. 2004

143 citations recorded by the source corpus.

We present a method to construct entanglement measures for pure states of multipartite qubit systems. The key element of our approach is an antilinear operator that we call ``comb''. For qubits (or spin $1∕2$) the combs are automatically invariant under $\mathrm{SL}(2,\mathbb{C})$. This implies that the filters obtained from the combs are entanglement monotones by construction. We give alternative formulas for the concurrence and the three-tangle as expectation values of certain antilinear operators. As an application we discuss inequivalent types of genuine four-qubit entanglement.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/b1479ffc91da10aa47763da827bbb7bba08538d5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Entanglement in many-body systems (2007, background): “The latter is the invariance group relevant for qubit entanglement classification and quantification (Dür et al., 2000; Osterloh and Siewert, 2005; Verstraete et al., 2003).”
Entanglement certification from theory to experiment (2018, background): “This led to the general research line of classifying multipartite entanglement in terms of stochastic LOCC using SL(d)-invariant polynomials [190, 191].”