Certainty relations between local and nonlocal observables

Details Certainty relations between local and nonlocal observables Certainty relations between local and nonlocal observables

2005-08-19

arxiv.org/abs/quant-ph/0508145v1

New J. Opt., vol. 7, pp. 256, 2005

Physics

Quantum Physics

4 pages, no figures

Scientific paper

10.1088/1367-2630/7/1/256

We demonstrate that for an arbitrary number of identical particles, each defined on a Hilbert-space of arbitrary dimension, there exists a whole ladder of relations of complementarity between local, and every conceivable kind of joint (or nonlocal) measurements. E.g., the more accurate we can know (by a measurement) some joint property of three qubits (projecting the state onto a tripartite entangled state), the less accurate some other property, local to the three qubits, become. We also show that the corresponding complementarity relations are particularly tight for particles defined on prime dimensional Hilbert spaces.

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