Lower bounds on entanglement measures from incomplete information

Details Lower bounds on entanglement measures from incomplete information Lower bounds on entanglement measures from incomplete information

2008-02-13

arxiv.org/abs/0802.1734v2

Phys. Rev. A 77, 052317 (2008)

Physics

Quantum Physics

9 pages, 4 figures, v2: final version

Scientific paper

10.1103/PhysRevA.77.052317

How can we quantify the entanglement in a quantum state, if only the expectation value of a single observable is given? This question is of great interest for the analysis of entanglement in experiments, since in many multiparticle experiments the state is not completely known. We present several results concerning this problem by considering the estimation of entanglement measures via Legendre transforms. First, we present a simple algorithm for the estimation of the concurrence and extensions thereof. Second, we derive an analytical approach to estimate the geometric measure of entanglement, if the diagonal elements of the quantum state in a certain basis are known. Finally, we compare our bounds with exact values and other estimation methods for entanglement measures.

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