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Quantum root-mean-square error and measurement uncertainty relations
Paul Busch, Pekka Lahti, Reinhard F Werner
Recent years have witnessed a controversy over Heisenberg's famous error-disturbance relation. Here we resolve the conflict by way of an analysis of the possible conceptualizations…
Measurement uncertainty relations
Paul Busch, Pekka Lahti, Reinhard F Werner
Measurement uncertainty relations are quantitative bounds on the errors in an approximate joint measurement of two observables. They can be seen as a generalization of the error/di…
Heisenberg uncertainty for qubit measurements
Paul Busch, Pekka Lahti, Reinhard F Werner
Reports on experiments recently performed in Vienna [Erhard et al, Nature Phys. 8, 185 (2012)] and Toronto [Rozema et al, Phys. Rev. Lett. 109, 100404 (2012)] include claims of a v…
Proof of Heisenberg's error-disturbance relation
Paul Busch, Pekka Lahti, Reinhard F. Werner
While the slogan "no measurement without disturbance" has established itself under the name Heisenberg effect in the consciousness of the scientifically interested public, a precis…
Electric quantum walks with individual atoms
Maximilian Genske, Wolfgang Alt, Andreas Steffen +4
We report on the experimental realization of electric quantum walks, which mimic the effect of an electric field on a charged particle in a lattice. Starting from a textbook implem…
Propagation and spectral properties of quantum walks in electric fields
C. Cedzich, T. Rybár, A. H. Werner +3
We study one-dimensional quantum walks in a homogeneous electric field. The field is given by a phase which depends linearly on position and is applied after each step. The long ti…