Robustness of raw quantum tomography
arXiv:1003.1664 · doi:10.1016/j.physleta.2010.12.056
Abstract
We scrutinize the effects of non-ideal data acquisition on the homodyne tomograms of photon quantum states. The presence of a weight function, schematizing the effects of the finite thickness of the probing beam or equivalently noise, only affects the state reconstruction procedure by a normalization constant. The results are extended to a discrete mesh and show that quantum tomography is robust under incomplete and approximate knowledge of tomograms.
7 pages, 1 figure, published version
References in corpus (14)
- Continuous-variable optical quantum state tomography
- Symplectic tomography as classical approach to quantum systems
- Maximum-likelihood estimation of the density matrix
- An introduction to the tomographic picture of quantum mechanics
- Alternative commutation relations, star products and tomography
- Experimental demonstration of bosonic commutation relation via superpositions of quantum operations on thermal light fields
- Full characterization of Gaussian bipartite entangled states by a single homodyne detector
- Experimental determination of a nonclassical Glauber-Sudarshan P function
- Biased tomography schemes: an objective approach
- State reconstruction by on/off measurements
- Minimum uncertainty measurements of angle and angular momentum
- Classical and quantum aspects of tomography
- Neutron wave packet tomography
- On the inversion of the Radon transform: standard vs approach
Cited by in corpus (11)
- Ancilla-Assisted Calibration of a Measuring Apparatus
- Self-calibrating Quantum State Tomography
- Optimal estimation of entanglement in optical qubit systems
- Rank penalized estimation of a quantum system
- Optimal estimation of entanglement and discord in two-qubit states
- Fourier Transform Quantum State Tomography
- Generalized quantum tomographic maps
- Quantum Operations: technical or fundamental challenge?
- Generalized tomographic maps and star-product formalism
- Tomography: mathematical aspects and applications
- MuSR method and tomographic probability representation of spin states