Collision entropy and optimal uncertainty

Details Collision entropy and optimal uncertainty Collision entropy and optimal uncertainty

2011-12-27

arxiv.org/abs/1112.5903v1

Phys. Rev. A 85 (2012) 012108

Physics

Quantum Physics

The manuscript has been accepted for publication as a Regular Article in Physical Review A

Scientific paper

10.1103/PhysRevA.85.012108

We propose an alternative measure of quantum uncertainty for pairs of arbitrary observables in the 2-dimensional case, in terms of collision entropies. We derive the optimal lower bound for this entropic uncertainty relation, which results in an analytic function of the overlap of the corresponding eigenbases. Besides, we obtain the minimum uncertainty states. We compare our relation with other formulations of the uncertainty principle.

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