activity
19962019
most citedQuantum states and generalized observables: a simple proof of Gleason's theorem

302 citations · 2.1k across the 45 of their papers we have counts for

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Showing 2013 · quant-phShow all

8 papers · 2 filters

quant-ph2013★ 50 cited

Steering, incompatibility, and Bell inequality violations in a class of probabilistic theories

Neil Stevens, Paul Busch

We show that connections between a degree of incompatibility of pairs of observables and the strength of violations of Bell's inequality found in recent investigations can be exten…

quant-ph2013★ 210 cited

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…

quant-ph2013★ 88 cited

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…

quant-ph2013★ 121 cited

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…

quant-ph2013★ 25 cited

An operational link between MUBs and SICs

Roberto Beneduci, Tom Bullock, Paul Busch +3

We exhibit an operational connection between mutually unbiased bases and symmetric infomationally complete positive operator-valued measures. Assuming that the latter exists, we sh…

quant-ph2013★ 242 cited

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…