Experimental investigation of the entanglement-assisted entropic uncertainty principle

Details Experimental investigation of the entanglement-assisted entropic uncertainty principle Experimental investigation of the entanglement-assisted entropic uncertainty principle

2010-12-02

arxiv.org/abs/1012.0361v2

Nature Physics 7, 752-756 (2011)

Physics

Quantum Physics

14 pages, 5 figures

Scientific paper

10.1038/nphys2047

The uncertainty principle, which bounds the uncertainties involved in obtaining precise outcomes for two complementary variables defining a quantum particle, is a crucial aspect in quantum mechanics. Recently, the uncertainty principle in terms of entropy has been extended to the case involving quantum entanglement. With previously obtained quantum information for the particle of interest, the outcomes of both non-commuting observables can be predicted precisely, which greatly generalises the uncertainty relation. Here, we experimentally investigated the entanglement-assisted entropic uncertainty principle for an entirely optical setup. The uncertainty is shown to be near zero in the presence of quasi-maximal entanglement. The new uncertainty relation is further used to witness entanglement. The verified entropic uncertainty relation provides an intriguing perspective in that it implies the uncertainty principle is not only observable-dependent but is also observer-dependent.

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