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The quantum theory of measurement

- P. Busch, P. Lahti, P. Mittelstaedt
- Mathematics
- 1991

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 space… Expand

Operational Quantum Physics

- P. Busch, M. Grabowski, P. Lahti
- Mathematics
- 21 December 2001

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 an… Expand

Quantum states and generalized observables: a simple proof of Gleason's theorem.

- P. Busch
- Mathematics, Physics
- Physical review letters
- 23 September 1999

TLDR

The Time-Energy Uncertainty Relation

- P. Busch
- Physics, Mathematics
- 11 May 2001

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.

TLDR

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 of… Expand

Time observables in quantum theory

- P. Busch, M. Grabowski, P. Lahti
- Physics
- 22 August 1994

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 an… Expand

Heisenberg's uncertainty principle

- P. Busch, T. Heinonen, P. Lahti
- Physics
- 25 September 2006

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 also… Expand

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 tradeoff… Expand

Informationally complete sets of physical quantities

- P. Busch
- Mathematics
- 1 September 1991

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

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