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The quantum theory of measurement
The amazing accuracy in verifying quantum effects experimentally has recently renewed interest in quantum mechanical measurement theory. In this book the authors give within the Hilbert spaceExpand
Operational Quantum Physics
Operational Quantum Physics offers a systematic presentation of quantum mechanics which makes exhaustive use of the full probabilistic structure of this theory. Accordingly the notion of anExpand
Quantum states and generalized observables: a simple proof of Gleason's theorem.
  • P. Busch
  • Mathematics, Physics
  • Physical review letters
  • 23 September 1999
A simple proof of the result, analogous to Gleason's theorem, that any quantum state is given by a density operator, and a von Neumann-type argument against noncontextual hidden variables is obtained. Expand
The Time-Energy Uncertainty Relation
The time-energy uncertainty relation ΔT ΔE ≥ 1/2ħ (3.1) has been a controversial issue since the advent of quantum theory, with respect to appropriate formalisation, validity and possible meanings.Expand
Proof of Heisenberg's error-disturbance relation.
It is shown that despite recent claims to the contrary, Heisenberg-type inequalities can be proven that describe a tradeoff between the precision of a position measurement and the necessary resulting disturbance of momentum. Expand
Heisenberg uncertainty for qubit measurements
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 violation ofExpand
Time observables in quantum theory
Abstract “Time” as an observable of a physical system is to be understood with reference to the evolution of some nonstationary quantity. Thus, any observable “time” is the time of occurrence of anExpand
Heisenberg's uncertainty principle
Heisenberg's uncertainty principle is usually taken to express a limitation of operational possibilities imposed by quantum mechanics. Here we demonstrate that the full content of this principle alsoExpand
Measurement uncertainty relations
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/disturbance tradeoffExpand
Informationally complete sets of physical quantities
The notion of informational completeness is formulated within the convex state (or operational) approach to statistical physical theories and employed to introduce a type of statistical metrics.Expand