Minimal tomography with entanglement witnesses

Details Minimal tomography with entanglement witnesses Minimal tomography with entanglement witnesses

2009-06-22

arxiv.org/abs/0906.3985v1

Physical Review A 81 (2010) 052339 (8 pages)

Physics

Quantum Physics

5 pages, 1 figure

Scientific paper

We introduce informationally complete measurements whose outcomes are entanglement witnesses and so answer the question of how many witnesses need to be measured to decide whether an arbitrary state is entangled or not: as many as the dimension of the state space. The optimized witness-based measurement can provide exponential improvement with respect to witness efficiency in high-dimensional Hilbert spaces, at the price of a reduction in the tomographic efficiency. We describe a systematic construction, and illustrate the matter at the example of two qubits.

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