Measurement uncertainty relations
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Publication:5171322
DOI10.1063/1.4871444zbMath1304.81019arXiv1312.4392OpenAlexW2027880510WikidataQ62124801 ScholiaQ62124801MaRDI QIDQ5171322
Paul Busch, Pekka J. Lahti, Reinhard F. Werner
Publication date: 26 July 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.4392
Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Quantum measurement theory, state operations, state preparations (81P15)
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Cites Work
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- The \(L^\infty\) optimal transport: infinite cyclical monotonicity and the existence of optimal transport maps
- Inequalities in Fourier analysis
- The classical moment problem as a self-adjoint finite difference operator
- Error principle
- The uncertainty principle: A mathematical survey
- Physical content of Heisenberg's uncertainty relation: limitation and reformulation
- Constrained steepest descent in the 2-Wasserstein metric
- Uncertainty relations for noise and disturbance in generalized quantum measurements
- Quantum harmonic analysis on phase space
- A Note on Entropy
- Phase space quantization and the operator moment problem
- A note on the measurement of phase space observables with an eight-port homodyne detector
- Universal joint-measurement uncertainty relation for error bars
- The $\infty$-Wasserstein Distance: Local Solutions and Existence of Optimal Transport Maps
- Positive operator valued measures covariant with respect to an irreducible representation
- Position and momentum observables on R and on R3
- Sequential measurements of conjugate observables
- On the coexistence of position and momentum observables
- Optimal Transport
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