104 citations · 1.2k across the 57 of their papers we have counts for
6 papers · 2 filters
Distances between quantum states in the tomographic-probability representation
S. N. Filippov, V. I. Man'ko
Distances between quantum states are reviewed within the framework of the tomographic-probability representation. Tomographic approach is based on observed probabilities and is str…
Probability representation and quantumness tests for qudits and two-mode light states
S. N. Filippov, V. I. Man'ko
Using tomographic-probability representation of spin states, quantum behavior of qudits is examined. For a general j-qudit state we propose an explicit formula of quantumness witne…
Chebyshev polynomials and Fourier transform of SU(2) irreducible representation character as spin-tomographic star-product kernel
S. N. Filippov, V. I. Man'ko
Spin-tomographic symbols of qudit states and spin observables are studied. Spin observables are associated with the functions on a manifold whose points are labelled by spin projec…
Spin tomography and star-product kernel for qubits and qutrits
S. N. Filippov, V. I. Man'ko
Using the irreducible tensor-operator technique, we establish the relation between different forms of spin tomograms. Quantizer and dequantizer operators are presented in simple ex…
Quantumness tests and witnesses in the tomographic-probability representation
S. N. Filippov, V. I. Man'ko
In view of the tomographic-probability representation of quantum states, we reconsider the approach to quantumness tests of a single system developed in [Alicki and Van Ryn 2008 J.…
Qubit portrait of the photon-number tomogram and separability of two-mode light states
S. N. Filippov, V. I. Man'ko
In view of the photon-number tomograms of two-mode light states, using the qubit-portrait method for studying the probability distributions with infinite outputs, the separability…