Position and momentum tomography
arXiv:0902.3890 · doi:10.1103/PhysRevA.79.052119
Abstract
We illustrate the use of the statistical method of moments for determining the position and momentum distributions of a quantum object from the statistics of a single measurement. The method is used for three different, though related, models; the sequential measurement model, the Arthurs-Kelly model and the eight-port homodyne detection model. In each case, the method of moments gives the position and momentum distribution for a large class of initial states, the relevant condition being the exponential boundedness of the distributions.
15 pages, 1 figure
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Cited by in corpus (10)
- An introduction to the tomographic picture of quantum mechanics
- Quantum root-mean-square error and measurement uncertainty relations
- Kirkwood-Dirac quasiprobability approach to the statistics of incompatible observables
- Homodyne extimation of quantum states purity by exploiting covariant uncertainty relation
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- Quantum tomography, phase space observables, and generalized Markov kernels
- On the complementarity of the quadrature observables
- A note on the Pauli problem in light of approximate joint measurements
- Estimation of Wigner distribution of single mode Gaussian states: a comparative study