92 citations · 154 across the 13 of their papers we have counts for
8 papers · 1 filter
Partial scaling transform of multiqubit states as a criterion of separability
C. Lupo, V. Man'ko, G. Marmo +1
The partial scaling transform of the density matrix for multiqubit states is introduced to detect entanglement of quantum states. The transform contains partial transposition as a…
Alternative Algebraic Structures from Bi-Hamiltonian Quantum Systems
G. Marmo, G. Scolarici, A. Simoni +1
We discuss the alternative algebraic structures on the manifold of quantum states arising from alternative Hermitian structures associated with quantum bi-Hamiltonian systems. We a…
Phase-space descriptions of operators and the Wigner distribution in quantum mechanics II. The finite dimensional case
S. Chaturvedi, E. Ercolessi, G. Marmo +3
A complete solution to the problem of setting up Wigner distribution for N-level quantum systems is presented. The scheme makes use of some of the ideas introduced by Dirac in the…
Phase-space descriptions of operators and the Wigner distribution in quantum mechanics I. A Dirac inspired view
S. Chaturvedi, E. Ercolessi, G. Marmo +3
Drawing inspiration from Dirac's work on functions of non commuting observables, we develop a fresh approach to phase space descriptions of operators and the Wigner distribution in…
Geometry of quantum systems: density states and entanglement
Janusz Grabowski, Marek Kuś, Giuseppe Marmo
Various problems concerning the geometry of the space $u^*(\cH)$ of Hermitian operators on a Hilbert space $\cH$ are addressed. In particular, we study the canonical Poisson and Ri…
Quantum Bi-Hamiltonian systems, alternative Hermitian structures and Bi-Unitary transformations
G. Marmo, G. Scolarici, A. Simoni +1
We discuss the dynamical quantum systems which turn out to be bi-unitary with respect to the same alternative Hermitian structures in a infinite-dimensional complex Hilbert space.…