Operational classification and quantification of multipartite entangled states
- 18 August 2006
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 74 (2) , 022314
- https://doi.org/10.1103/physreva.74.022314
Abstract
We formalize and extend an operational multipartite entanglement measure introduced by T. R. Oliveira, G. Rigolin, and M. C. de Oliveira, Phys. Rev. A 73, 010305(R) (2006), through the generalization of global entanglement (GE) [D. A. Meyer and N. R. Wallach, J. Math. Phys. 43, 4273 (2002)]. Contrarily to GE the main feature of this measure lies in the fact that we study the mean linear entropy of all possible partitions of a multipartite system. This allows the construction of an operational multipartite entanglement measure which is able to distinguish among different multipartite entangled states that GE failed to discriminate. Furthermore, it is also maximum at the critical point of the Ising chain in a transverse magnetic field, being thus able to detect a quantum phase transition.Keywords
All Related Versions
This publication has 31 references indexed in Scilit:
- Genuine multipartite entanglement in quantum phase transitionsPhysical Review A, 2006
- Quantum information with continuous variablesReviews of Modern Physics, 2005
- Multipartite entanglement in a one-dimensional time-dependent Ising modelPhysical Review A, 2005
- Entanglement and Factorized Ground States in Two-Dimensional Quantum AntiferromagnetsPhysical Review Letters, 2005
- The one-dimensional Ising model with a transverse fieldPublished by Elsevier ,2004
- Entanglement in Quantum Critical PhenomenaPhysical Review Letters, 2003
- Entanglement in a simple quantum phase transitionPhysical Review A, 2002
- Four qubits can be entangled in nine different waysPhysical Review A, 2002
- Computable measure of entanglementPhysical Review A, 2002
- Off-Diagonal Time-Dependent Spin Correlation Functions of theX−YModelPhysical Review A, 1971