Entanglement in many-body systems
- L. Amico, R. Fazio, A. Osterloh, V. Vedral
- Physics
- 6 March 2007
Recent interest in aspects common to quantum information and condensed matter has prompted a flurry of activity at the border of these disciplines that were far distant until a few years ago.…
Scaling of entanglement close to a quantum phase transition
- A. Osterloh, L. Amico, G. Falci, R. Fazio
- PhysicsNature
- 5 February 2002
It is demonstrated, for a class of one-dimensional magnetic systems, that entanglement shows scaling behaviour in the vicinity of the transition point, which connects the theory of critical phenomena with quantum information by exploring the entangling resources of a system close to its quantum critical point.
Constructing N-qubit entanglement monotones from antilinear operators (4 pages)
- A. Osterloh, J. Siewert
- Mathematics
- 13 October 2004
We present a method to construct entanglement measures for pure states of multipartite qubit systems. The key element of our approach is an antilinear operator that we call ``comb''. For qubits (or…
Three-tangle for mixtures of generalized GHZ and generalized W states
- C. Eltschka, A. Osterloh, J. Siewert, A. Uhlmann
- Mathematics
- 28 November 2007
We give a complete solution for the three-tangle of mixed three-qubit states composed of a generalized Greenberger–Horne–Zeilinger (GHZ) state, a|000⟩+b|111⟩, and a generalized W state,…
Tangles of superpositions and the convex-roof extension
- A. Osterloh, J. Siewert, A. Uhlmann
- Mathematics
- 31 October 2007
We discuss aspects of the convex-roof extension of multipartite entanglement measures, that is, $\mathrm{SL}(2,\mathbb{C})$ invariant tangles. We highlight two key concepts that contain valuable…
Entangled three-qubit states without concurrence and three-tangle.
- R. Lohmayer, A. Osterloh, J. Siewert, A. Uhlmann
- PhysicsPhysical Review Letters
- 8 June 2006
By studying the Coffman-Kundu-Wootters inequality, it is found that, while the amounts of inequivalent entanglement types strictly add up for pure states, this "monogamy" can be lifted for mixed states by virtue of vanishing tangle measures.
ENTANGLEMENT MONOTONES AND MAXIMALLY ENTANGLED STATES IN MULTIPARTITE QUBIT SYSTEMS
- A. Osterloh, J. Siewert
- Physics
- 9 June 2005
We present a method to construct entanglement measures for pure states of multipartite qubit systems. The key element of our approach is an antilinear operator that we call comb in reference to the…
Dynamics of entanglement in one-dimensional spin systems (24 pages)
- L. Amico, A. Osterloh, F. Plastina, R. Fazio, G. Palma
- Physics
- 7 July 2003
We study the dynamics of quantum correlations in a class of exactly solvable Ising-type models. We analyze in particular the time evolution of initial Bell states created in a fully polarized…
Scaling of genuine multiparticle entanglement close to a quantum phase transition
- Martin Hofmann, A. Osterloh, O. Guhne
- Physics
- 9 September 2013
We investigate the scaling and spatial distribution of genuine multiparticle entanglement in three- and four-spin reduced states of the one-dimensional XY-model at the quantum phase transition. We…
On polynomial invariants of several qubits
- A. Osterloh, D. Djoković
- Physics, Mathematics
- 10 April 2008
It is a recent observation that entanglement classification for qubits is closely related to local SL(2,C)-invariants including the invariance under qubit permutations [Dur, et al., Phys. Rev. A 62,…
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