Heisenberg's uncertainty principle
P Busch, T Heinonen, P Lahti - Physics reports, 2007 - Elsevier
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 …
possibilities imposed by quantum mechanics. Here we demonstrate that the full content of …
Quantum reference frames, measurement schemes and the type of local algebras in quantum field theory
We develop an operational framework, combining relativistic quantum measurement theory
with quantum reference frames (QRFs), in which local measurements of a quantum field on …
with quantum reference frames (QRFs), in which local measurements of a quantum field on …
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 …
joint measurement of two observables. They can be seen as a generalization of the …
Informationally complete joint measurements on finite quantum systems
We show that there are informationally complete joint measurements of two conjugated
observables on a finite quantum system, meaning that they enable the identification of all …
observables on a finite quantum system, meaning that they enable the identification of all …
[HTML][HTML] Maximally incompatible quantum observables
The existence of maximally incompatible quantum observables in the sense of a minimal
joint measurability region is investigated. Employing the universal quantum cloning device it …
joint measurability region is investigated. Employing the universal quantum cloning device it …
Uncertainty Relations Relative to Phase Space Quantum Reference Frames
Heisenberg's uncertainty relation does not take into account that position and momentum
are defined relative to a quantum reference frame (QRF). We introduce such a QRF as a …
are defined relative to a quantum reference frame (QRF). We introduce such a QRF as a …
Measurement uncertainty relations for position and momentum: relative entropy formulation
Heisenberg's uncertainty principle has recently led to general measurement uncertainty
relations for quantum systems: incompatible observables can be measured jointly or in …
relations for quantum systems: incompatible observables can be measured jointly or in …
How sharp are PV measures?
A Jencová, S Pulmannová - arxiv preprint math-ph/0701031, 2007 - arxiv.org
Properties of sharp observables (normalized PV measures) in relation to smearing by a
Markov kernel are studied. It is shown that for a sharp observable $ P $ defined on a …
Markov kernel are studied. It is shown that for a sharp observable $ P $ defined on a …
[PDF][PDF] On the coexistence of position and momentum observables
C Carmeli, T Heinonen, A Toigo - arxiv preprint quant-ph/0504168, 2005 - arxiv.org
arxiv:quant-ph/0504168v1 22 Apr 2005 Page 1 arxiv:quant-ph/0504168v1 22 Apr 2005 On
the coexistence of position and momentum observables Claudio Carmeli†, Teiko Heinonen‡ …
the coexistence of position and momentum observables Claudio Carmeli†, Teiko Heinonen‡ …
Optimal measurements in quantum mechanics
T Heinonen - Physics Letters A, 2005 - Elsevier
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