Entanglement Observables and Witnesses for Interacting Quantum Spin Systems

Details Entanglement Observables and Witnesses for Interacting Quantum Spin Systems Entanglement Observables and Witnesses for Interacting Quantum Spin Systems

2004-12-13

arxiv.org/abs/quant-ph/0412099v2

Phys. Rev. A 72, 032309 (2005)

Physics

Quantum Physics

5 pages, 1 figure. v2: published version

Scientific paper

10.1103/PhysRevA.72.032309

We discuss the detection of entanglement in interacting quantum spin systems. First, thermodynamic Hamiltonian-based witnesses are computed for a general class of one-dimensional spin-1/2 models. Second, we introduce optimal bipartite entanglement observables. We show that a bipartite entanglement measure can generally be associated to a set of independent two-body spin observables whose expectation values can be used to witness entanglement. The number of necessary observables is ruled by the symmetries of the model. Illustrative examples are presented.

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