Easy implementable algorithm for the geometric measure of entanglement
arXiv:1104.0821 · doi:10.1103/PhysRevA.84.022323
Abstract
We present an easy implementable algorithm for approximating the geometric measure of entanglement from above. The algorithm can be applied to any multipartite mixed state. It involves only the solution of an eigenproblem and finding a singular value decomposition, no further numerical techniques are needed. To provide examples, the algorithm was applied to the isotropic states of 3 qubits and the 3-qubit XX model with external magnetic field.
9 pages, 3 figures
References in corpus (5)
- Multiparticle entanglement under the influence of decoherence
- Linking a distance measure of entanglement to its convex roof
- Analytic Expressions for Geometric Measure of Three Qubit States
- Formation of Multipartite Entanglement Using Random Quantum Gates
- Evaluation of two different entanglement measures on a bound entangled state
Cited by in corpus (16)
- A comparison of old and new definitions of the geometric measure of entanglement
- Minimax optimization of entanglement witness operator for the quantification of three-qubit mixed-state entanglement
- Entanglement of genuinely entangled subspaces and states: exact, approximate, and numerical results
- Is macroscopic entanglement a typical trait of many-particle quantum states?
- Numerical and analytical results for geometric measure of coherence and geometric measure of entanglement
- Quantifying mixed-state quantum entanglement by optimal entanglement witness
- Accurate calculation of the geometric measure of entanglement for multipartite quantum states
- Symmetric hypergraph states: Entanglement quantification and robust Bell nonlocality
- Topological Minimally Entangled States via Geometric Measure
- Sudden Decoherence Transitions for Quantum Discord
- Unified Framework for Calculating Convex Roof Resource Measures
- Quantifying subspace entanglement with geometric measures
- Detecting entanglement from macroscopic measurements of the electric field and its fluctuations
- Finding maximal quantum resources
- Local Purity Distillation in Quantum Systems: Exploring the Complementarity Between Purity and Entanglement
- Entanglement of formation for qubit-qudit system using partition of qudit sytem into a set of qubit system