92 citations · 269 across the 28 of their papers we have counts for
5 papers · 1 filter
Unital Positive Maps and Quantum States
M. Asorey, A. Kossakowski, G. Marmo +1
We analyze the structure of the subset of states generated by unital completely positive quantum maps, A witness that certifies that a state does not belong to the subset generated…
Classical tensors from quantum states
P. Aniello, G. Marmo, G. F. Volkert
The embedding of a manifold M into a Hilbert-space H induces, via the pull-back, a tensor field on M out of the Hermitian tensor on H. We propose a general procedure to compute the…
Semigroup of positive maps for qudit states and entanglement in tomographic probability representation
V. I. Man'ko, G. Marmo, A. Simoni +1
Stochastic and bistochastic matrices providing positive maps for spin states (for qudits) are shown to form semigroups with dense intersection with the Lie groups $IGL(n, \mathbb{R…
A symplectic realization of the Volterra lattice
M. A. Agrotis, P. A. Damianou, G. Marmo
We examine the multiple Hamiltonian structure and construct a symplectic realization of the Volterra model. We rediscover the hierarchy of invariants, Poisson brackets and master s…
Frame transforms, star products and quantum mechanics on phase space
P. Aniello, V. I. Man'ko, G. Marmo
Using the notions of frame transform and of square integrable projective representation of a locally compact group , we introduce a class of isometries (tight frame transforms)…