Lorentz invariance of entanglement classes in multipartite systems
University of Vienna, Faculty of Physics - Boltzmanngasse 5, 1090 Vienna, Austria, EU
2 School of Mathematical Sciences, University of Nottingham, University Park - Nottingham NG7 2RD, UK, EU
3 Research Center for Quantum Information, Institute of Physics, Slovak Academy of Sciences - Dubravska cesta 9, 84511 Bratislava, Slovakia, EU
Accepted: 30 May 2011
We analyze multipartite entanglement in systems of spin- particles from a relativistic perspective. General conditions which have to be met for any classification of multipartite entanglement to be Lorentz invariant are derived, which contributes to a physical understanding of entanglement classification. We show that quantum information in a relativistic setting requires the partition of the Hilbert space into particles to be taken seriously. Furthermore, we study exemplary cases and show how the spin and momentum entanglement transforms relativistically in a multipartite setting.
PACS: 03.67.Mn – Entanglement measures, witnesses, and other characterizations / 03.65.Aa – Quantum systems with finite Hilbert space / 03.30.+p – Special relativity
© EPLA, 2011