Package of facts and theorems for efficiently generating entanglement criteria for many qubits
arXiv:1204.2722 · doi:10.1103/PhysRevA.85.062315
Abstract
We present a package of mathematical theorems, which allow to construct multipartite entanglement criteria. Importantly, establishing bounds for certain classes of entanglement does not take an optimization over continuous sets of states. These bonds are found from the properties of commutativity graphs of operators used in the criterion. We present two examples of criteria constructed according to our method. One of them detects genuine 5-qubit entanglement without ever referring to correlations between all five qubits.
5 pages, 4 figures
References in corpus (5)
- Entangled three-qubit states without concurrence and three-tangle
- Quantum Correlation Without Classical Correlations
- Entanglement monotones and maximally entangled states in multipartite qubit systems
- On polynomial invariants of several qubits
- Correlation tensor criteria for genuine multiqubit entanglement