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Bulletin of the American Physical Society

Entanglement Verification from Partial Knowledge in Arbitrary Systems

Hauke Häseler, Tobias Moroder, Johannes Rigas, Volkher B. Scholz, Norbert Lütkenhaus

Published Mar 6, 2007• 0 citations
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We study the problem of witnessing entanglement among indistinguishable particles. For this purpose, we derive a set of equations which results in necessary and sufficient conditions for probing multipartite entanglement between arbitrary systems of bosons or fermions. The solution of these equations yields the construction of optimal entanglement witnesses for partial and full entanglement in discrete and continuous variable systems. Our approach unifies the verification of entanglement for distinguishable and indistinguishable particles. We provide general solutions for certain observables to study quantum entanglement in systems with different quantum statistics in noisy environments.
Most entanglement verification is examined in either the completely characterized or the totally device-independent scenario. The assumptions imposed by these extreme cases are often either too weak or too strong for real experiments. Here we investigate this detection task in the intermediate regime where there is partial knowledge of the measured observables, considering cases like orthogonal, sharp, or only dimension-bounded measurements. We show that for all these assumptions it is not necessary to violate a corresponding Bell inequality in order to detect entanglement. We derive strong detection criteria that can be directly evaluated for experimental data and which are robust against large classes of calibration errors. The conditions are even capable of detecting bound entanglement under the sole assumption of dimension-bounded measurements.