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19912026
most citedPlanck 2015 results. XIII. Cosmological parameters

10.6k citations

Showing 2009 · quant-phShow all

20 papers · 2 filters

quant-ph2009★ 12 cited

Moyal and tomographic probability representations for f-oscillator quantum states

Vladimir I. Man'ko, Giuseppe Marmo, Francesco Zaccaria

States of nonlinear quantum oscillators (f-oscillators) are considered in the Weyl-Wigner-Moyal representation and the tomographic probability representation, where the states are…

quant-ph2009★ 5 cited

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…

quant-ph2009

Scaling Separability Criterion: Application To Gaussian States

Alexandr Sergeevich, Vladimir I. Man'ko

We introduce examples of three- and four-mode entangled Gaussian mixed states that are not detected by the scaling and Peres-Horodecki separability criteria. The presented modifica…

quant-ph2009★ 4 cited

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…

quant-ph2009★ 14 cited

Methods for Estimating Capacities and Rates of Gaussian Quantum Channels

Oleg V. Pilyavets, Cosmo Lupo, Stefano Mancini

Optimization methods aimed at estimating the capacities of a general Gaussian channel are developed. Specifically evaluation of classical capacity as maximum of the Holevo informat…

quant-ph2009★ 8 cited

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…

quant-ph2009★ 262 cited

An introduction to the tomographic picture of quantum mechanics

A. Ibort, V. I. Man'ko, G. Marmo +2

Starting from the famous Pauli problem on the possibility to associate quantum states with probabilities, the formulation of quantum mechanics in which quantum states are described…

quant-ph2009★ 25 cited

Testing the Stability of the Fine Structure Constant in the Laboratory

N. Kolachevsky, A. Matveev, J. Alnis +6

In this review we discuss the progress of the past decade in testing for a possible temporal variation of the fine structure constant . Advances in atomic sample preparation, la…

quant-ph2009★ 17 cited

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…

quant-ph2009★ 1 cited

Frank-Condon principle and adjustment of optical waveguides with nonhomogeneous refractive indices

Vladimir I. Man'ko, Leonid D. Mikheev, Alexandr Sergeevich

The adjustment of two different selfocs is considered using both exact formulas for the mode-connection coefficients expressed in terms of Hermite polynomials of several variables…

quant-ph2009★ 157 cited

Electromagnetically induced transparency controlled by a microwave field

Hebin Li, Vladimir A. Sautenkov, Yuri V. Rostovtsev +3

We have experimentally studied propagation of two optical fields in a dense rubidium (Rb) vapor in the case when an additional microwave field is coupled to the hyperfine levels of…

quant-ph2009★ 8 cited

Separability and entanglement of four-mode Gaussian states

Vladimir I. Man'ko, Alexandr A. Sergeevich

The known Peres-Horodecki criterion and scaling criterion of separability are considered on examples of three-mode and four-mode Gaussian states of electromagnetic field. It is sho…

quant-ph2009★ 5 cited

Tomographic Representation of Quantum Mechanics and Statistical Physics

Olga V. Man'ko

A review of the photon-number tomography and symplectic tomography as examples of star-product quantization is presented. The classical statistical mechanics is considered within t…

quant-ph2009★ 9 cited

Quantum Fourier transform and tomographic Renyi entropic inequalities

M. A. Man'ko, V. I. Man'ko

Renyi entropy associated with spin tomograms of quantum states is shown to obey to new inequalities containing the dependence on quantum Fourier transform. The limiting inequality…

quant-ph2009

Entropic uncertainty relations for electromagnetic beams

Sergio De Nicola, Renato Fedele, Margarita A. Man'ko +1

The symplectic tomograms of 2D Hermite--Gauss beams are found and expressed in terms of the Hermite polynomials squared. It is shown that measurements of optical-field intensities…

quant-ph2009

Superposition rule and entanglement in diagonal and probability representations of density states

Vladimir I. Man'ko, Giuseppe Marmo, E. C. George Sudarshan

The quasidistributions corresponding to the diagonal representation of quantum states are discussed within the framework of operator-symbol construction. The tomographic-probabilit…

quant-ph2009★ 17 cited

Vapor pressure dependence of spectral width of EIT in Lambda-level cesium molecular system

Hui Chen, Hebin Li, Yuri V. Rostovtsev +3

We have studied electromagnetically induced transparency (EIT) in diatomic cesium molecules in a vapor cell by using tunable diode lasers. We have observed a sub-natural Lambda-res…

quant-ph2009★ 15 cited

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.…

quant-ph2009★ 10 cited

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…

quant-ph2009★ 22 cited

Capacities of lossy bosonic channel with correlated noise

Cosmo Lupo, Oleg V. Pilyavets, Stefano Mancini

We evaluate the information capacities of a lossy bosonic channel with correlated noise. The model generalizes the one recently discussed in [Phys. Rev. A 77, 052324 (2008)], where…