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19932023
most citedSymplectic tomography as classical approach to quantum systems

436 citations · 3.3k across the 186 of their papers we have counts for

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Showing 2001Show all

7 papers · 1 filter

quant-ph2001★ 1 cited

Charge in electric field in probability representation

V. I. Man'ko, E. V. Shchukin

Green function and linear integrals of motion for a charged particle moving in electric field are discussed. Wigner function and tomogram of the ststionary states of the charge are…

quant-ph2001

Tomography of multimode quantum systems with quadratic Hamiltonians and multivariable Hermite polynomials

V. I. Man'ko, V. A. Sharapov, E. V. Shchukin

The systems with multimode nonstationary Hamiltonians quadratic in position and momentum operators are reviewed. The tomographic probability distributions (tomograms) for the Fock…

quant-ph2001★ 12 cited

Tomographic map within the framework of star-product quantization

Olga V. Man'ko, Vladimir I. Man'ko, Giuseppe Marmo

Tomograms introduced for the description of quantum states in terms of probability distributions are shown to be related to a standard star-product quantization with appropriate ke…

quant-ph2001★ 2 cited

Geometrical Aspects of Lie Groups Representations and Their Optical Applications

J. Guerrero, V. I. Manko, G. Marmo +1

In this paper we present a new procedure to obtain unitary and irreducible representations of Lie groups starting from the cotangent bundle of the group (the cotangent group). We d…

quant-ph2001★ 4 cited

Deformed versus undeformed cat states encoding qubit

Stefano Mancini, Vladimir I. Man'ko

We study the possibility of exploiting superpositions of coherent states to encode qubit. A comparison between the use of deformed and undeformed bosonic algebra is made in connect…

quant-ph2001★ 22 cited

The survival of quantum coherence in deformed states superposition

Stefano Mancini, Vladimir I. Man'ko

We study the dissipative dynamics of deformed coherent states superposition. We find that such kind of superposition can be more robust against decoherence than the usual Schroding…