Accurate calculation of the geometric measure of entanglement for multipartite quantum states
arXiv:1609.02076 · doi:10.1007/s11128-017-1633-8
Abstract
This article proposes an efficient way of calculating the geometric measure of entanglement using tensor decomposition methods. The connection between these two concepts is explored using the tensor representation of the wavefunction. Numerical examples are benchmarked and compared. Furthermore, we search for highly entangled qubit states to show the applicability of this method.
References in corpus (14)
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- Geometric measure of entanglement and applications to bipartite and multipartite quantum states
- Geometric Quantum Mechanics
- Computing quantum discord is NP-complete
- Monotones and invariants for multi-particle quantum states
- How entangled can two couples get?
- Multi-Qubit Systems: Highly Entangled States and Entanglement Distribution
- The maximally entangled symmetric state in terms of the geometric measure
- All Maximally Entangled Four Qubits States
- Hierarchies of Geometric Entanglement
- Easy implementable algorithm for the geometric measure of entanglement
- Minimal Renyi-Ingarden-Urbanik entropy of multipartite quantum states
- Entanglement under the renormalization-group transformations on quantum states and in quantum phase transitions
- Geometric entanglement and quantum phase transitions in two-dimensional quantum lattice models
Cited by in corpus (6)
- Low-rank quantum state preparation
- How entangled can a multi-party system possibly be?
- Compact quantum kernel-based binary classifier
- Variational determination of multi-qubit geometrical entanglement in NISQ computers
- Detecting entanglement from macroscopic measurements of the electric field and its fluctuations
- Local Purity Distillation in Quantum Systems: Exploring the Complementarity Between Purity and Entanglement